Stability and stabilisability of switched discrete-time systems based on structured Lyapunov functions
type: Item
instance of: scholarly article
title: Stability and stabilisability of switched discrete-time systems based on structured Lyapunov functions
zbMATH Open document ID: 1544.93684
author: Márcio J. Lacerda
author: Thales da Silveira Gomide
published in: IET Control Theory \& Applications
publication date: 2024-09-05T00:00:00Z
Mathematics Subject Classification ID: 93D30
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 7907149
zbMATH Keywords: stability
zbMATH Keywords: control system synthesis
zbMATH Keywords: linear matrix inequalities
zbMATH Keywords: state feedback
zbMATH Keywords: discrete time systems
zbMATH Keywords: Lyapunov methods
zbMATH Keywords: linear systems
zbMATH Keywords: switching systems (control)
zbMATH Keywords: structured Lyapunov function
zbMATH Keywords: stabilisability problem
zbMATH Keywords: discrete-time switched systems
zbMATH Keywords: arbitrary switching
zbMATH Keywords: necessary conditions
zbMATH Keywords: sufficient conditions
zbMATH Keywords: stability problem
zbMATH Keywords: stability certificates
zbMATH Keywords: LMI condition
zbMATH Keywords: switched system
zbMATH Keywords: switching state-feedback gains
zbMATH Keywords: stabilisation problem
zbMATH Keywords: switched discrete-time systems
MaRDI profile type: Publication
cites work: Optimal control of hybrid switched systems: a brief survey
cites work: Dissipativity based repetitive control for switched stochastic dynamical systems
cites work: Reliable state estimation of switched neutral system with nonlinear actuator faults via sampled-data control
cites work: Non-fragile reliable sampled-data controller for nonlinear switched time-varying systems
cites work: Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
cites work: Switching in systems and control
cites work: Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach
cites work: Uniform stabilization of discrete-time switched and Markovian jump linear systems
cites work: Q5375228
cites work: Joint Spectral Radius and Path-Complete Graph Lyapunov Functions
cites work: Dwell time based stabilisability criteria for discrete-time switched systems
cites work: Stability and stabilization of discrete time switched systems
cites work: On analysis and design of discrete-time constrained switched systems
cites work: Stability of uncertain systems using Lyapunov functions with non-monotonic terms
cites work: Convergent LMI relaxations for robust analysis of uncertain linear systems using lifted polynomial parameter-dependent Lyapunov functions
cites work: Discrete-Time Switched Linear Systems State Feedback Design With Application to Networked Control
cites work: Q3141919
cites work: A poly-quadratic stability based approach for linear switched systems
cites work: Q4496016
cites work: On Uniform Stabilization of Discrete-Time Linear Parameter-Varying Control Systems
cites work: Nonquadratic Stabilization Conditions for a Class of Uncertain Nonlinear Discrete Time TS Fuzzy Models: A New Approach
cites work: Semidefinite programming duality and linear time-invariant systems
DOI: 10.1049/IET-CTA.2019.0485
description: scientific article; zbMATH DE number 7907149