Faculty of Math./Phys./Inf. <- Mathematical Institute <- Chair of Appl. Math. <- Faculty/Staff <- Prof. Dr. L. Grüne <-
[Logo of the University] UNIVERSITAET BAYREUTH Faculty of Mathematics, Physics
and Computer Science


Mathematical Institute

Chair of Applied Mathematics






o Publications - Lars Grüne



The publications are organized in the six categories and appear in chronological order of submission: the older, the earlier. In addition, there is a separate list of my
For abstracts of the articles and full text of preprints click on the title. If you are interested in reprints or in the software mentioned in the publications, just send me an e-mail:
Click on the following links for Choose "pre-loaded" if you don't have access rights for the databases.




Books:

o   [B1] Dynamics, Bifurcations and Control (NCN) (with F. Colonius, eds.)
(Lecture Notes in Control and Information Sciences 273, Springer Verlag, 2002)

o   [B2] Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization
(Lecture Notes in Mathematics 1783, Springer Verlag, 2002)

o   [B3] Gewöhnliche Differentialgleichungen - Eine Einführung aus der Perspektive der Dynamischen Systeme (mit O. Junge)
(Vieweg + Teubner Verlag, 2009)
 Online access (free for members of the University of Bayreuth via University Computers or VPN)

o   [B4] Nonlinear Model Predictive Control. Theory and Algorithms (with J. Pannek)
(Communications and Control Engineering, Springer Verlag, 2011)


Journal Articles (including preprints of recent submissions):

o   [1] Numerical Stabilization of Bilinear Control Systems
(SIAM Journal on Control and Optimization, 34(1996), 2024-2050)

o   [2] Discrete Feedback Stabilization of Semilinear Control Systems
(ESAIM: Control, Optimisation and Calculus of Variations, 1(1996), 207-224)

o   [3] An Adaptive Grid Scheme for the discrete Hamilton-Jacobi-Bellman Equation
(Numerische Mathematik, 75(1997), 319-337)

o   [4] Asymptotic Controllability and Exponential Stabilization of Nonlinear Control Systems at Singular Points
(SIAM Journal on Control and Optimization, 36(1998), 1585-1603)

o   [5] A uniform exponential spectrum for linear flows on vector bundles
(Journal of Dynamics and Differential Equations, 12(2000), 435-448)

o   [6] On the relation between discounted and average optimal control problems
(Journal of Differential Equations, 148(1998), 65-99)

o   [7] On Numerical Algorithm and Interactive Visualization for Optimal Control Problems (with M. Metscher and M. Ohlberger)
(Computing and Visualization in Science 1, No. 4(1999), 221-229)

o   [8] Feedback stabilization of discrete-time homogeneous semi-linear systems (with F. Wirth)
(Systems & Control Letters 37(1999), 19-30)

o   [9] Input-to-state stability of exponentially stabilized semilinear control systems with inhomogeneous perturbations
(Systems & Control Letters, 38(1999), 27-35)

o   [10] On the rate of convergence of infinite horizon discounted optimal value functions (with F. Wirth)
(Nonlinear Analysis: Real World Applications 1(2000), 499-515)

o   [11] Numerical approximation of the maximal solutions for a class of degenerate Hamilton-Jacobi equations (with F. Camilli)
(SIAM Journal on Numerical Analysis, 38(2000), 1540-1560)

o   [12] Asymptotic stability equals exponential stability, and ISS equals finite energy gain - if you twist your eyes (with E. Sontag and F. Wirth)
(Systems & Control Letters, 38(1999), 127-134)

o   [13] Homogeneous state feedback stabilization of homogeneous control systems
(SIAM Journal on Control and Optimization, 38(2000), 1288-1314)

o   [14] Convergence Rates of Perturbed Attracting Sets with Vanishing Perturbations
(Journal of Mathematical Analysis and Applications, 244(2000), 369-392)

o   [15] A generalization of Zubov's method to perturbed systems (with F. Camilli and F. Wirth)
(SIAM Journal on Control and Optimization, 40(2001), 496-515)

o   [16] Pathwise Approximation of Random Ordinary Differential Equations (with P.E. Kloeden)
(BIT - Numerical Mathematics, 41(2001), 710-721)

o   [17] Persistence of attractors for one-step discretizations of ordinary differential equations
(IMA Journal of Numerical Analysis, 21(2001), 751-767)

o   [18] Higher order numerical schemes for affinely controlled nonlinear systems (with P.E. Kloeden)
(Numerische Mathematik, 89(2001), 669-690)

o   [19] Input-to-state dynamical stability and its Lyapunov function characterization
(IEEE Transactions on Automatic Control, 47(2002), 1499-1504)

o   [20] Attraction rates, robustness and discretization of attractors
(SIAM Journal on Numerical Analysis, 41(2003), 2096-2113)

o   [21] Creditworthyness and thresholds in a credit market model with multiple equilibria (with W. Semmler and M. Sieveking)
(Economic Theory, 25(2005), 287-315)

o   [22] Optimization based stabilization of sampled-data nonlinear systems via their approximate discrete-time models (with D. Nesic)
(SIAM Journal on Control and Optimization, 42(2003), 98-122)

o   [23] Using dynamic programming with adaptive grid scheme for optimal control problems in economics (with W. Semmler)
(Journal of Economic Dynamics and Control, 28(2004), 2427-2456)

o   [24] Solving ecological management problems using dynamic programming (with M. Kato and W. Semmler)
(Journal of Economic Behavior & Organization, 57(2005), 448-473)

o   [25] Characterizing attraction probabilities via the stochastic Zubov equation (with F. Camilli)
(Discrete and Continuous Dynamical Systems - Series B, 3(2003), 457-468)

o   [26] Default risk, asset pricing and debt control (with W. Semmler)
(Journal of Financial Econometrics, 3(2005), 79-106,
reprinted in W. Semmler and L. Bernard, eds., The Foundation of Credit Risk Analysis, The International Library of Critical Writings in Economics, Edward Elgar Publishing, 2007)

o   [27] Error estimation and adaptive discretization for the discrete stochastic Hamilton-Jacobi-Bellman equation
(Numerische Mathematik, 99(2004), 85-112)

o   [28] Asset Pricing with Dynamic Programming (with W. Semmler)
(Computational Economics, 29(2007), 233-265)

o   [29] Lyapunov based continuous-time nonlinear controller redesign for sampled-data implementation (with D. Nesic)
(Automatica, 41(2005), 1143-1156)

o   [30] Robust asymptotic controllability under time-varying perturbations
(Stochastics & Dynamics, 4(2004), 297-316)

o   [31] A set oriented approach to optimal feedback stabilization (with O. Junge)
(Systems & Control Letters, 54(2005), 169-180)

o   [32] Control Lyapunov Functions and Zubov's Method (with F. Camilli and F. Wirth)
(SIAM Journal on Control and Optimization, 47(2008), 301-326)

o   [33] An invariance kernel representation of ISDS Lyapunov functions (with P. Saint-Pierre)
(Systems & Control Letters, 55(2006), 736-745)

o   [34] A receding horizon control approach to sampled-data implementation of continuous-time controllers (with D. Nesic)
(Systems & Control Letters 55(2006), Special Issue on New Trends in Nonlinear Control, 660-672)

o   [35] Adaptive spline interpolation for Hamilton-Jacobi-Bellman equations (with F. Bauer and W. Semmler)
(Applied Numerical Mathematics, 56(2006), Special Issue on Numerical Methods for Viscosity Solutions and Applications, 1196-1210)

o   [36] Higher order numerical approximation of switching systems (with P.E. Kloeden)
(Systems & Control Letters, 55(2006), 746-754)

o   [37] Global optimal control of perturbed systems (with O. Junge)
(Journal of Optimization Theory and Applications (JOTA) 136(2008), 411-429)

o   [38] Stabilization of controlled diffusions via Zubov's method (with F. Camilli, A. Cesaroni and F. Wirth)
(Stochastics & Dynamics, 6(2006), 373-394)

o   [39] On the infinite horizon performance of receding horizon controllers (with A. Rantzer)
(IEEE Transactions on Automatic Control, 53(2008), 2100-2111)

o   [40] Continuous-time controller redesign for digital implementation: a trajectory based approach (with K. Worthmann and D. Nesic)
(Automatica, 44(2008), 225-232)

o   [41] Input-to-state stability, numerical dynamics and sampled-data control
(GAMM-Mitteilungen, 31(2008), Special Issue on Dynamics and Control, 94-114)

o   [42] Lyapunov's second method for nonautonomous differential equations (with P.E. Kloeden, S. Siegmund and F. Wirth)
(Discrete and Continuous Dynamical Systems - Series A, 18(2007), Special Issue on Nonautonomous, Stochastic and Hamiltonian Dynamical Systems, 375-403)

o   [43] Comparing Accuracy of Second Order Approximation and Dynamic Programming (with S. Becker and W. Semmler)
(Computational Economics, 30(2007), 65-91)

o   [44] Redesign techniques for nonlinear sampled-data systems (with D. Nesic, J. Pannek and K. Worthmann)
(at-Automatisierungstechnik, 56(2008), Special Issue on Digitally Networked Systems, 38-48)

o   [45] Firm value, diversified capital assets, and credit risk: towards a theory of default correlation (with W. Semmler and L. Bernard)
(Journal of Credit Risk, 3(2007/08), 81-109)

o   [46] Asset Pricing with Loss Aversion (with W. Semmler)
(Journal of Economic Dynamics and Control, 32(2008), 3253-3274)

o   [47] Analysis and design of unconstrained nonlinear MPC schemes for finite and infinite dimensional systems
(SIAM Journal on Control and Optimization, 48(2009), 1206-1228)

o   [48] Practical NMPC suboptimality estimates along trajectories (with J. Pannek)
(Systems & Control Letters, 58(2009), 161-168)

o   [49] Set oriented construction of globally optimal controllers (with O. Junge)
(at-Automatisierungstechnik, 57(2009), 287-295)

o   [50] Feedback stabilization methods for the numerical solution of ordinary differential equations (with I. Karafyllis)
(Discrete and Continuous Dynamical Systems - Series B, to appear) (updated)

o   [51] Analysis of unconstrained nonlinear MPC schemes with varying control horizon (with J. Pannek, M. Seehafer and K. Worthmann)
(SIAM Journal on Control and Optimization, 48(2010), 4938-4962) (updated)

o   [52] Dynamic consumption and portfolio decisions with time varying asset returns (with W. Semmler and C. Öhrlein)
(The Journal of Wealth Management, 12, No. 2(2009), 21-47)

o   [53] Two complementary approaches to event-based control (with S. Jerg, O. Junge, D. Lehmann, J. Lunze, F. Müller and M. Post)
(at-Automatisierungstechnik, 58(2010), Special Issue on Networked Control Systems, 173-182)

o   [54] Differential games and Zubov's method (with O. S. Serea)
(Preprint, Universität Bayreuth, March 2010, revised February 2011, submitted) (updated)

o   [55] Linear programming based Lyapunov function computation for differential inclusions (with R. Baier and S.F. Hafstein)
(Discrete and Continuous Dynamical Systems - Series B, to appear)
(updated)


Book Chapters:

o   [C1] Computation of the Lyapunov Spectrum
(F. Colonius and W. Kliemann, The Dynamics of Control, Birkhäuser(2000), Appendix D, 569-596)

o   [C2] Stabilization by sampled and discrete feedback with positive sampling rate
(D. Aeyels, F. Lamnabhi-Lagarrigue, A. van der Schaft, eds., Stability and Stabilization of Nonlinear Systems (NCN), Lecture Notes in Control and Information Sciences 246, Springer Verlag, London(1999), Chapter 9, 165-182)

o   [C3] Discretization, inflation and perturbation of attractors (with P.E. Kloeden)
(B. Fiedler, ed., Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems (DANSE), Springer Verlag(2001), 399-416)

o   [C4] A regularization of Zubov's equation for robust domains of attraction (with F. Camilli and F. Wirth)
(A. Isidori, F. Lamnabhi-Lagarrigue, W. Respondek, eds., Nonlinear Control in the Year 2000 Volume 1 (NCN), Lecture Notes in Control and Information Sciences 258, Springer Verlag, London(2000), 277-290)

o   [C5] MAPLE for Stochastic Differential Equations (with S. Cyganowski and P.E. Kloeden)
(J.F. Blowey, J.P. Coleman, A.W. Craig, eds., Theory and Numerics of Differential Equations, Springer Verlag(2001), 127-178)

o   [C6] Adaptive grid generation for evolutive Hamilton-Jacobi-Bellman equations
(M. Falcone and Ch. Makridakis, eds., Numerical Methods for Viscosity Solutions and Applications, World Scientific, Singapore(2001), 153-172)

o   [C7] MAPLE for Jump-Diffusion Stochastic Differential Equations in Finance (with S. Cyganowski and P.E. Kloeden)
(S.S. Nielsen, ed., Programming Languages and Systems in Computational Economics and Finance. Kluwer Academic Publishers, Dordrecht (2002), 441-460)

o   [C8] Quantitative aspects of the input-to-state stability property
(M. de Queiroz, M. Malisoff, and P. Wolenski, eds., Optimal Control, Stabilization, and Nonsmooth Analysis (MCT03), Lecture Notes in Control and Information Sciences 301, Springer Verlag, Heidelberg(2004), 215-230)

o   [C9] Model predictive control for nonlinear sampled-data systems (with D. Nesic and J. Pannek)
(F. Allgöwer, L. Biegler and R. Findeisen, eds., Assessment and Future Directions of Nonlinear Model Predictive Control (NMPC05), Lecture Notes in Control and Information Sciences 358, Springer Verlag, Heidelberg(2007), 105-113)

o   [C10] Sampled-data redesign for nonlinear multi-input systems (with K. Worthmann)
(F. Ancona, A. Bressan, P. Cannarsa, F. Clarke and P.R. Wolenski, eds, Geometric Control and Nonsmooth Analysis, World Scientific, Singapore(2008), 206-227)

o   [C11] Optimization based stabilization of nonlinear control systems
(I. Lirkov, S. Margenov and J. Wasniewski, eds., Large-Scale Scientific Computations (LSSC07), Lecture Notes in Computer Science 4818, Springer-Verlag(2008), 52-65)

o   [C12] Vorausschauend planen, gezielt handeln - über die Regelung und Steuerung technischer Prozesse (mit S. Sager, F. Allgöwer, H.G. Bock und M. Diehl, in German)
(M. Grötschel, K. Lucas und V. Mehrmann, eds., Produktionsfaktor Mathematik, Springer-Verlag (2009), 27-62)

o   [C13] Growth and climate change: threshold and multiple equilibria (with A. Greiner and W. Semmler)
(J. Crespo Cuaresma, T.P. Palokangas and A. Tarasyev, eds., Dynamic Systems, Economic Growth, and the Environment, Springer-Verlag (2010), 63-79)

o   [C14] Performance of NMPC schemes without stabilizing terminal constraints (with N. Altmüller and K. Worthmann)
(M. Diehl, F. Glineur, E. Jarlebring and W. Michiels, eds, Recent Advances in Optimization and its Applications in Engineering, Springer-Verlag (2010), 289-298)

o   [C15] NMPC suboptimality estimates for sampled-data continuous systems (with M. von Lossow and K. Worthmann)
(M. Diehl, F. Glineur, E. Jarlebring and W. Michiels, eds, Recent Advances in Optimization and its Applications in Engineering, Springer-Verlag (2010), 329-338)

o   [C16] A distributed NMPC scheme without stabilizing terminal constraints (with K. Worthmann)
(R. Johansson and A. Rantzer, eds, Distributed Decision Making and Control, Springer-Verlag, to appear)
(updated)

o   [C17] Predictive planning and systematic action - on the control of technical processes (with S. Sager, F. Allgöwer, H.G. Bock and M. Diehl) (new)
(M. Grötschel, K. Lucas und V. Mehrmann, eds., Production Factor Mathematics, Springer-Verlag (2010), 9-37)


Conference Papers:

o   [P1] Stabilization of discrete-time bilinear systems (with F. Wirth)
(Proceedings of the GAMM Jahrestagung 1997, Regensburg, ZAMM, Supplement 3(1998), 925-926)

o   [P2] Discrete Feedback Stabilization of Nonlinear Control Systems at a Singular Point
(Proceedings of the European Control Conference 1997, Brussels(1997), CD-ROM, Paper No. 806)

o   [P3] A Spectral Condition for Asymptotic Controllability and Stabilization at Singular Points
(Proceedings of the 36th IEEE Conference on Decision and Control San Diego, California(1997), 4431-4435)

o   [P4] Numerical stabilization at singular points
(Proceedings of the Mathematical Theory of Networks and Systems MTNS98, Padova(1998), 633-636)

o   [P5] On input-to-state stabilizability of semilinear control systems
(Proceedings of the Mathematical Theory of Networks and Systems MTNS98, Padova(1998), 181-184)

o   [P6] Maximal solutions for a class of singular Hamilton-Jacobi equations (with F. Camilli)
(Proceedings of the Mathematical Theory of Networks and Systems MTNS98, Padova(1998), 447-450)

o   [P7] On linear convergence of discounted optimal control problems with vanishing discount rate (with F. Wirth)
(Proceedings of the Mathematical Theory of Networks and Systems MTNS98, Padova(1998), 185-188)

o   [P8] On equivalence of exponential and asymptotic stability under changes of variables (with E. Sontag and F. Wirth)
(EQUADIFF 99, Berlin(1999), B. Fiedler, K. Gröger, J. Sprekels, eds., World Scientific, Singapore(2000), 850-852)

o   [P9] A maximum time approach to the computation of robust domains of attraction (with M. Falcone and F. Wirth)
(EQUADIFF 99, Berlin(1999), B. Fiedler, K. Gröger, J. Sprekels, eds., World Scientific, Singapore(2000), 844-849)

o   [P10] On the equivalence between asymptotic and exponential stability, and between ISS and finite H-infinity gain (with E. Sontag and F. Wirth)
(Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, Arizona(1999), 1220-1225)

o   [P11] Zubov's method for perturbed differential equations (with F. Camilli and F. Wirth)
(Proceedings of the Mathematical Theory of Networks and Systems MTNS2000, Perpignan(2000), CD-ROM, Article B100)

o   [P12] Homogeneous control Lyapunov functions for homogeneous control systems
(Proceedings of the Mathematical Theory of Networks and Systems MTNS2000, Perpignan(2000), CD-ROM, Article B99)

o   [P13] Computing control Lyapunov functions via a Zubov type algorithm (with F. Wirth)
(Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia(2000), 2129-2134)

o   [P14] Attractors under perturbation and discretization
(Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia(2000), 2118-2122)

o   [P15] Homogeneous state feedback stabilization of homogeneous control systems
(Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia(2000), 3409-3414)

o   [P16] Subdivision techniques for the computation of domains of attraction and reachable sets
(Proceedings of NOLCOS 2001, St. Petersburg, Russia(2001), 762-767)

o   [P17] Numerical schemes of higher order for a class of nonlinear control systems (with P.E. Kloeden)
(Numerical Methods and Applications, Borovets, Bulgaria(2002), I. Dimov, I. Lirkov, S. Margenov, Z. Zlatev, eds, Springer Lecture Notes in Computer Science 2542(2003), 213-220)

o   [P18] Quantitative aspects of the input-to-state stability property
(Proceedings of the Mathematical Theory of Networks and Systems MTNS2002, South Bend, Indiana(2002), CD-ROM, Article TUA4-4)

o   [P19] A generalization of Zubov's method to perturbed systems (with F. Camilli and F. Wirth)
(Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, Nevada(2002), 3518-3523)

o   [P20] Stabilization of sampled-data nonlinear systems via their approximate models: an optimization based approach (with D. Nesic)
(Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, Nevada(2002), 1934-1939)

o   [P21] Gain preserving Lyapunov functions for perturbed and controlled systems
(Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, Nevada(2002), 707-712)

o   [P22] Construction of Lyapunov functions on the domain of asymptotic nullcontrollability: theory (with F. Camilli and F. Wirth)
(Proceedings of NOLCOS 2004, Stuttgart, Germany, 877-882)

o   [P23] Construction of Lyapunov functions on the domain of asymptotic nullcontrollability: numerics (with F. Camilli and F. Wirth)
(Proceedings of NOLCOS 2004, Stuttgart, Germany, 883-888)

o   [P24] Characterizing controllability probabilities of stochastic control systems via Zubov's method (with F. Camilli and F. Wirth)
(Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems MTNS2004, Leuven, Belgium, CD-ROM, WA3, Paper No. 65)

o   [P25] Nonlinear sampled-data controller redesign via Lyapunov functions (with D. Nesic)
(Proceedings of the 16th IFAC World Congress, Prague, Czech Republic(2005), DVD-ROM, Paper No. Fr-A17-TO/5)

o   [P26] Zubov's method for stochastic control systems (with F. Camilli and F. Wirth)
(Proceedings of the 16th IFAC World Congress, Prague, Czech Republic(2005), DVD-ROM, Paper No. Mo-M20-TO/4)

o   [P27] A set valued characterization of ISDS Lyapunov functions (with P. Saint-Pierre)
(Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference ECC2005, Sevilla, Spain(2005), 4718-4723)

o   [P28] Model predictive sampled-data redesign for nonlinear systems (with D. Nesic and J. Pannek)
(Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference ECC2005, Sevilla, Spain(2005), 36-41)

o   [P29] Redesign techniques for nonlinear sampled-data control (with D. Nesic and J. Pannek)
(Oberwolfach Reports, 2, No. 1, Report 11(2005), 584-586)

o   [P30] Calculating the domain of attraction: Zubov's method and extensions (with F. Camilli and F. Wirth)
(Proceedings of the Stability and Control Processes Conference SCP 2005, dedicated to the 75th birthday anniversary of V. I. Zubov, Saint Petersburg, Russia, 27-36)

o   [P31] Constructing robust feedback laws by set oriented numerical methods (with O. Junge)
(Proceedings of the GAMM Annual Meeting, Luxembourg, 2005, PAMM, 5(2005), 157-162)

o   [P32] High order approximations by sampled-data feedback (with K. Worthmann and D. Nesic)
(Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems MTNS2006, Kyoto, Japan, 2006, 1780-1787)

o   [P33] Suboptimality estimates for receding horizon controllers (with A. Rantzer)
(Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems MTNS2006, Kyoto, Japan, 2006, 120-127)

o   [P34] Optimal stabilization of hybrid systems using a set oriented approach (with O. Junge)
(Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems MTNS2006, Kyoto, Japan, 2006, 2089-2093)

o   [P35] Computing stability and performance bounds for unconstrained NMPC schemes
(Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, Louisiana, 2007, 1263-1268)

o   [P36] Approximately optimal nonlinear stabilization with preservation of the Lyapunov function property (with O. Junge)
(Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, Louisiana, 2007, 702-707)

o   [P37] Computing minimal optimization horizons for stabilizing unconstrained MPC schemes
(Proceedings of the 6th International Congress on Industrial and Applied Mathematics (ICIAM 07) and GAMM Annual Meeting, Zürich, Switzerland, 2007, PAMM 7(2007), 4130007-4130008, DOI: 10.1002/pamm.200700203)

o   [P38] An efficient algorithm for perturbed shortest path problems (with O. Junge)
(Proceedings of the 6th International Congress on Industrial and Applied Mathematics (ICIAM 07), Zürich, Switzerland, 2007, 1025003-1025004, DOI: 10.1002/pamm.200700714)

o   [P39] Trajectory based suboptimality estimates for receding horizon controllers (with J. Pannek)
(Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems MTNS2008, Blacksburg, Virginia, 2008, CD-ROM, Paper 023.pdf, 6 pages)

o   [P40] Nonlinear sampled-data redesign: analytical formulas and their practical implementation (with K. Worthmann)
(Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems MTNS2008, Blacksburg, Virginia, 2008, CD-ROM, Paper 084.pdf, 6 pages)

o   [P41] Set oriented optimal control using past information (with F. Müller)
(Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems MTNS2008, Blacksburg, Virginia, 2008, CD-ROM, Paper 125.pdf, 6 pages)

o   [P42] A networked unconstrained nonlinear MPC scheme (with J. Pannek and K. Worthmann)
(Proceedings of the European Control Conference 2009, Budapest, Hungary, 2009, 371-376)

o   [P43] Domains of attraction of interconnected systems: A Zubov method approach (with F. Camilli and F. Wirth)
(Proceedings of the European Control Conference 2009, Budapest, Hungary, 2009, 91-96)

o   [P44] Digital redesign of nonlinear multi-input systems (with D. Nesic and K. Worthmann)
(Oberwolfach Reports, 6, No. 1, Report 11(2009), 619-622)

o   [P45] Feedback stabilization methods for the numerical solution of systems of ordinary differential equations (with I. Karafyllis)
(Proceedings of the International Conference on Numerical Analysis and Applied Mathematics ICNAAM 2009, Rethymno, Crete, Greece, AIP Conference Proceedings Volume 1168, 2009, 152-155)

o   [P46] A prediction based control scheme for networked systems with delays and packet dropouts (with J. Pannek and K. Worthmann)
(Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai, China, 2009, 537-542)

o   [P47] An algorithm for event-based optimal feedback control (with F. Müller)
(Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai, China, 2009, 5311-5316)

o   [P48] Analysis of unconstrained NMPC schemes with incomplete optimization (with J. Pannek)
(Proceedings of NOLCOS 2010, Bologna, Italy, 2010, 238-243)

o   [P49] Computing Lyapunov functions for strongly asymptotically stable differential inclusions (with R. Baier and S.F. Hafstein)
(Proceedings of NOLCOS 2010, Bologna, Italy, 2010, 1098-1103)

o   [P50] MPC: implications of a growth condition on exponentially controllable systems (with M. von Lossow, J. Pannek and K. Worthmann)
(Proceedings of NOLCOS 2010, Bologna, Italy, 2010, 385-390)

o   [P51] Receding Horizon optimal control for the wave equation (with N. Altmüller and K. Worthmann)
(Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, Georgia, 2010, 3427-3432)

o   [P52] Global optimal control of quantized systems (with F. Müller)
(Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems MTNS2010, Budapest, Hungary, 2010, 1231-1237)

o   [P53] Instantaneous control of the linear wave equation (with N. Altmüller and K. Worthmann)
(Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems MTNS2010, Budapest, Hungary, 2010, 1895-1899)

o   [P54] Worst case vs. average performance estimates for unconstrained NMPC schemes
(Proceedings of the GAMM Annual Meeting, Karlsruhe, Germany, 2010, PAMM 10(2010), 607-608, DOI: 10.1002/pamm.201010296)

o   [P55] Robustness of prediction based delay compensation for nonlinear systems (with R. Findeisen J. Pannek and P. Varutti)
(Proceedings of the 18th IFAC World Congress, Milano, Italy, 2011, to appear) (updated)

o   [P56] Optimal invariance via receding horizon control (new)
(Preprint, University of Bayreuth, February 2011, submitted)



Theses:

o   [DP] Numerische optimale Steuerung und Stabilisierung (in German)
(Diplomarbeit, Universität Augsburg (1994))

o   [DS] Numerische Berechnung des Lyapunov-Spektrums bilinearer Kontrollsysteme (in German)
(Dissertation, Universität Augsburg (1996), Logos-Verlag, Berlin, ausgezeichnet mit dem Universitätspreis der Universität Augsburg)

o   [HA] Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization
(Habilitationsschrift, J.W. Goethe-Universität Frankfurt am Main (2001))



Lecture Notes (in German):

o   [L1] Numerik optimaler Steuerung
(J.W. Goethe-Universität Frankfurt am Main, Sommersemester 2001)

o   [L2] Stabilität und Stabilisierung linearer Systeme
(2. Auflage, Universität Bayreuth, Wintersemester 2002/2003)
(1. Auflage, J.W. Goethe-Universität Frankfurt am Main, Wintersemester 2001/2002)

o   [L3] Stabilität und Stabilisierung nichtlinearer Systeme
(J.W. Goethe-Universität Frankfurt am Main, Sommersemester 2002)

o   [L4] Numerische Mathematik für Naturwissenschaftler und Ingenieure
(Universität Bayreuth, Sommersemester 2002)
(Hinweis: im Sommersemester 2007 wurde die Vorlesung komplett überarbeitet. Es wurde aber kein umfangreiches Skript bereit gestellt, um zu regelmäßigerem Vorlesungsbesuch zu animieren. Schriftliche Zusammenfassungen des Vorlesungsstoffs finden Sie auf der E-Learning Seite der Veranstaltung, deren Passwort in der Vorlesung bekannt gegeben wurde.)

o   [L5] Einführung in die Numerische Mathematik
(4. Auflage, Universität Bayreuth, Wintersemester 2009/2010)
(3. Auflage, Universität Bayreuth, Wintersemester 2007/2008)
(2. Auflage, Universität Bayreuth, Wintersemester 2004/2005)
(1. Auflage, Universität Bayreuth, Wintersemester 2002/2003)
(Die ersten drei Auflagen trugen den Titel "Numerische Mathematik I")

o   [L6] Numerische Methoden für gewöhnliche Differentialgleichungen
(4. Auflage, Universität Bayreuth, Sommersemester 2010)
(3. Auflage, Universität Bayreuth, Sommersemester 2008)
(2. Auflage, Universität Bayreuth, Sommersemester 2005)
(1. Auflage, Universität Bayreuth, Sommersemester 2003)
(Die ersten zwei Auflagen trugen den Titel "Numerische Mathematik II")

o   [L7] Modellierung mit Differentialgleichungen
(3. Auflage, Universität Bayreuth, Sommersemester 2008)
(2. Auflage, Universität Bayreuth, Sommersemester 2005)
(1. Auflage, Universität Bayreuth, Sommersemester 2003)

o   [L8] Numerik dynamischer Systeme
(3. Auflage, Universität Bayreuth, Wintersemester 2008/2009)
(2. Auflage, Universität Bayreuth, Wintersemester 2005/2006)
(1. Auflage, Universität Bayreuth, Wintersemester 2003/2004)

o   [L9] Numerische Dynamik von Kontrollsystemen
(Universität Bayreuth, Sommersemester 2004)

o   [L10] Mathematische Kontrolltheorie I: Lineare Systeme
(2. Auflage, Universität Bayreuth, Wintersemester 2008/2009)
(1. Auflage, Universität Bayreuth, Wintersemester 2005/2006)

o   [L11] Mathematische Kontrolltheorie II: Nichtlineare Systeme
(Universität Bayreuth, Sommersemester 2006)

o   [L12] Stochastische Dynamische Optimierung
(Universität Bayreuth, Sommersemester 2007)

o   [L13] Numerische Methoden der Finanzmathematik
(2., deutlich erweiterte Auflage, Universität Bayreuth, Wintersemester 2010/2011)
(1. Auflage, Universität Bayreuth, Sommersemester 2009)



Lars Grüne
Last modified: 4th May, 2011