Peter Giesl
Peter Giesl
Professor in Mathematics, University of Sussex, UK
Verified email at sussex.ac.uk - Homepage
Title
Cited by
Cited by
Year
Construction of global Lyapunov functions using radial basis functions
P Giesl
Springer 1904 (190), 2007
1312007
Review on computational methods for Lyapunov functions
P Giesl, S Hafstein
Discrete and Continuous Dynamical Systems-Series B 20 (8), 2291-2331, 2015
1132015
Meshless collocation: Error estimates with application to dynamical systems
P Giesl, H Wendland
SIAM Journal on Numerical Analysis 45 (4), 1723-1741, 2007
932007
Revised CPA method to compute Lyapunov functions for nonlinear systems
PA Giesl, SF Hafstein
Journal of Mathematical Analysis and Applications 410 (1), 292-306, 2014
552014
Computation and verification of Lyapunov functions
P Giesl, S Hafstein
SIAM Journal on Applied Dynamical Systems 14 (4), 1663-1698, 2015
382015
Construction of a local and global Lyapunov function using radial basis functions
P Giesl
IMA journal of applied mathematics 73 (5), 782-802, 2008
352008
Computation of continuous and piecewise affine Lyapunov functions by numerical approximations of the Massera construction
J Björnsson, P Giesl, S Hafstein, CM Kellett, H Li
53rd IEEE Conference on Decision and Control, 5506-5511, 2014
262014
Computation of Lyapunov functions for nonlinear discrete time systems by linear programming
P Giesl, S Hafstein
Journal of Difference Equations and Applications 20 (4), 610-640, 2014
262014
Construction of Lyapunov functions for nonlinear planar systems by linear programming
P Giesl, S Hafstein
Journal of Mathematical Analysis and Applications 388 (1), 463-479, 2012
262012
Necessary conditions for a limit cycle and its basin of attraction
P Giesl
Nonlinear Analysis: Theory, Methods & Applications 56 (5), 643-677, 2004
262004
Computation of Lyapunov functions for systems with multiple attractors
J Björnsson, P Giesl, SF Hafstein, CM Kellett
Discrete and Continuous Dynamical Systems-Series A 35 (9), 4019-4039, 2015
242015
On the determination of the basin of attraction of discrete dynamical systems
P Giesl
Journal of Difference Equations and Applications 13 (6), 523-546, 2007
242007
Existence of piecewise linear Lyapunov functions in arbitrary dimensions
P Giesl, S Hafstein
Discrete & Continuous Dynamical Systems-A 32 (10), 3539, 2012
232012
Existence of piecewise affine Lyapunov functions in two dimensions
P Giesl, S Hafstein
Journal of mathematical analysis and applications 371 (1), 233-248, 2010
202010
Areas of attraction for nonautonomous differential equations on finite time intervals
P Giesl, M Rasmussen
Journal of Mathematical Analysis and Applications 390 (1), 27-46, 2012
192012
Lyapunov function and the basin of attraction for a single-joint muscle-skeletal model
P Giesl, H Wagner
Journal of Mathematical Biology 54 (4), 453-464, 2007
192007
Stability analysis of the elbow with a load
P Giesl, D Meisel, J Scheurle, H Wagner
Journal of theoretical biology 228 (1), 115-125, 2004
192004
Construction of a CPA contraction metric for periodic orbits using semidefinite optimization
P Giesl, S Hafstein
Nonlinear Analysis: Theory, Methods & Applications 86, 114-134, 2013
182013
Algorithmic verification of approximations to complete Lyapunov functions
J Björnsson, P Giesl, S Hafstein
Proceedings of the 21st International Symposium on Mathematical Theory of …, 2014
172014
Analysing dynamical systems towards computing complete Lyapunov functions
C Argáez, P Giesl, S Hafstein
Proceedings of the 7th International Conference on Simulation and Modeling …, 2017
152017
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