An alternative approach for stability analysis of discrete time nonlinear dynamical systems

DOI10.1080/10236198.2017.1391239zbMath1383.93068arXiv1711.01412OpenAlexW2766060635MaRDI QIDQ5374259

Rachid Bouyekhf, Lyubomir T. Gruyitch

Publication date: 10 April 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.01412

zbMATH Keywords

asymptotic stabilitydiscrete-time nonlinear systemsstability domain\(\mathbf{G}\)-functions

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20)

Related Items (2)

Computational method for estimating the domain of attraction of discrete-time uncertain rational systems ⋮ Geometric method for global stability of discrete population models

Cites Work

• Review on computational methods for Lyapunov functions
• Refinements, generalizations, and applications of Jordan's inequality and related problems
• Theory of difference equations: Numerical methods and applications
• Homogeneous Lyapunov function for homogeneous continuous vector field
• New results on the stability of discrete-time systems and applications to control problems
• Lyapunov-like solutions to stability problems for discrete-time systems on asymptotically contractive sets
• The special functions and their approximations. Vol. I, II
• Computation of Lyapunov functions for nonlinear discrete time systems by linear programming
• Construction of a local and global Lyapunov function using radial basis functions
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