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, 2007
1392007
Review on computational methods for Lyapunov functions
P Giesl, S Hafstein
Discrete & Continuous Dynamical Systems-B 20 (8), 2291, 2015
1372015
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
582014
Computation and verification of Lyapunov functions
P Giesl, S Hafstein
SIAM Journal on Applied Dynamical Systems 14 (4), 1663-1698, 2015
432015
Construction of a local and global Lyapunov function using radial basis functions
P Giesl
IMA journal of applied mathematics 73 (5), 782-802, 2008
332008
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
312014
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
282012
Necessary conditions for a limit cycle and its basin of attraction
P Giesl
Nonlinear Analysis: Theory, Methods & Applications 56 (5), 643-677, 2004
272004
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
252014
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
252007
Existence of piecewise linear Lyapunov functions in arbitrary dimensions
P Giesl, S Hafstein
Discrete & Continuous Dynamical Systems 32 (10), 3539, 2012
232012
Computation of Lyapunov functions for systems with multiple local attractors
J Björnsson, P Giesl, SF Hafstein, CM Kellett
Discrete & Continuous Dynamical Systems 35 (9), 4019, 2015
222015
Analysing Dynamical Systems
C Argáez, S Hafstein, P Giesl
Proceedings of the 7th International Conference on Simulation and Modeling …, 2017
212017
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
212013
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
212012
Existence of piecewise affine Lyapunov functions in two dimensions
P Giesl, S Hafstein
Journal of mathematical analysis and applications 371 (1), 233-248, 2010
212010
Converse theorems on contraction metrics for an equilibrium
P Giesl
Journal of Mathematical Analysis and Applications 424 (2), 1380-1403, 2015
202015
Computational approach for complete Lyapunov functions
C Argáez, P Giesl, SF Hafstein
Dynamical Systems Theory and Applications, 1-11, 2017
182017
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
182007
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