Local stability analysis and domain of attraction estimation for a class of uncertain nonlinear discrete-time systems

DOI10.1002/rnc.2833zbMath1278.93183OpenAlexW1949854997MaRDI QIDQ2873467

Carlos E. de Souza, Daniel F. Coutinho

Publication date: 24 January 2014

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.2833

zbMATH Keywords

stability analysisdomain of attractionnonlinear discrete-time systemsparametric uncertaintylinear matrix inequality (LMI)

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)

Related Items (7)

Regional robust stabilisation and domain-of-attraction estimation for MIMO uncertain nonlinear systems with input saturation ⋮ Stabilization of rational nonlinear discrete-time systems by state feedback and static output feedback ⋮ Gain‐scheduled control design for discrete‐time nonlinear systems using difference‐algebraic representations ⋮ A Lyapunov approach for attraction domain estimation of polynomial discrete nonlinear systems with quadratic and cubic terms ⋮ Inner-estimating domains of attraction for discrete-time non-polynomial systems with piecewise difference inclusions ⋮ Generalization of a stability domain estimation method for nonlinear discrete systems ⋮ Inner-approximating domains of attraction for discrete-time switched systems via multi-step multiple Lyapunov-like functions

Cites Work

• Unnamed Item
• A novel LMI-based optimization algorithm for the guaranteed estimation of the domain of attraction using rational Lyapunov functions
• Estimating the domain of attraction for uncertain polynomial systems
• Control of rational systems using linear-fractional representations and linear matrix inequalities
• Analysis of discrete-time piecewise affine and hybrid systems
• Maximal Lyapunov functions and domains of attraction for autonomous nonlinear systems
• A computational method for determining quadratic Lyapunov functions for non-linear systems
• Stability regions of nonlinear dynamical systems: a constructive methodology
• On the estimation of asymptotic stability regions: State of the art and new proposals
• Linear Matrix Inequalities in System and Control Theory
• Stability analysis and control of a class of differential-algebraic nonlinear systems
• Analysis of Non-polynomial Systems Using the Sum of Squares Decomposition
• Nonlinear Systems Analysis
• Stability Region Analysis Using Polynomial and Composite Polynomial Lyapunov Functions and Sum-of-Squares Programming
• Stability Analysis of Implicit Polynomial Systems
• Guaranteed cost control of uncertain nonlinear systems via polynomial lyapunov functions
• ℒ︁₂‐Gain analysis and control of uncertain nonlinear systems with bounded disturbance inputs
• Computation of Lyapunov functions for smooth nonlinear systems using convex optimization

This page was built for publication: Local stability analysis and domain of attraction estimation for a class of uncertain nonlinear discrete-time systems