A constructive converse Lyapunov theorem on exponential stability

From MaRDI portal
Publication:1433445

DOI10.3934/dcds.2004.10.657zbMath1070.93044OpenAlexW2161142397MaRDI QIDQ1433445

Sigurður Freyr Hafstein

Publication date: 18 June 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.10.657



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (30)

Computation and Verification of Lyapunov FunctionsA note on the equivalence of a strongly convex function and its induced contractive differential equationOn the determination of the basin of attraction of a periodic orbit in two-dimensional systemsBounding the first exit from the basin: Independence times and finite-time basin stabilityComputation of Lyapunov functions for nonlinear discrete time systems by linear programmingUnnamed ItemStability analysis of discrete-time switched systems via multi-step multiple Lyapunov-like functionsNumerical determination of the basin of attraction for asymptotically autonomous dynamical systemsAutomatic Determination of Connected Sublevel Sets of CPA Lyapunov FunctionsSubgradient algorithm for computing contraction metrics for equilibriaModified refinement algorithm to construct Lyapunov functions using meshless collocationComputation and verification of contraction metrics for exponentially stable equilibriaConstruction of Lyapunov functions for nonlinear planar systems by linear programmingA constructive converse Lyapunov theorem on asymptotic stability for nonlinear autonomous ordinary differential equationsConstruction of a local and global Lyapunov function for discrete dynamical systems using radial basis functionsNumerical determination of the basin of attraction for exponentially asymptotically autonomous dynamical systemsRevised CPA method to compute Lyapunov functions for nonlinear systemsA converse Lyapunov theorem and robustness with respect to unbounded perturbations for exponential dissipativityExistence of piecewise affine Lyapunov functions in two dimensionsProbabilistic basin of attraction and its estimation using two Lyapunov functionsOn the determination of the basin of attraction of periodic orbits in three- and higher-dimensional systemsSystem specific triangulations for the construction of CPA Lyapunov functionsSufficient and necessary conditions for discrete-time nonlinear switched systems with uniform local exponential stabilitySimplicial complex with approximate rotational symmetry: a general class of simplicial complexesConditions for fixed-time stability and stabilization of continuous autonomous systemsSliding modes and Lyapunov functions for differential inclusions by linear programmingComputation of local ISS Lyapunov functions for discrete-time systems via linear programmingReview on computational methods for Lyapunov functionsGrid refinement in the construction of Lyapunov functions using radial basis functionsComputation of local ISS Lyapunov functions with low gains via linear programming




This page was built for publication: A constructive converse Lyapunov theorem on exponential stability