On stability and stabilizability of singular stochastic systems with delays
type: Item
instance of: scholarly article
title: On stability and stabilizability of singular stochastic systems with delays
zbMATH Open document ID: 1101.93077
author: Shengyuan Xu
author: E. K. Boukas
author: James Lam
published in: Journal of Optimization Theory and Applications
publication date: 2006-11-06T00:00:00Z
review text: The paper deal with the problems of stability analysis and stabilization for singular Markovian jump system with time delays. Based on a set of linear matrix inequalities, the sufficient conditions which guarantee the regularity, absence of impulses, and stochastic stability of such systems are presented. Based on this, the sufficient conditions for the existence of a state feedback controller are derived. A memoryless controller is used in the paper and a design algorithm in terms of the solutions to linear matrix inequalities is proposed to synthesize the controller gains. A numerical example is provided to demonstrate the effectiveness of the proposed method.
reviewed by: Tzvetan Semerdjiev
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 5070987
zbMATH Keywords: stochastic stability
zbMATH Keywords: stabilization of systems with feedback
zbMATH Keywords: singular systems
zbMATH Keywords: jump linear systems
zbMATH Keywords: linear matrix inequalities
MaRDI profile type: Publication
full work available at URL: s10957-005-6538-5
OpenAlex ID: W1975919871
cites work: A survey of linear singular systems
cites work: Semiglobal stabilization and output regulation of singular linear systems with input saturation
cites work: Robust stability and stabilization for singular systems with state delay and parameter uncertainty
cites work: Robust Stability and Stabilization of Discrete Singular Systems: An Equivalent Characterization
cites work: Stabilization of discrete-time singular systems: A matrix inequalities approach
cites work: Pole assignment and controllability subspaces in descriptor systems
cites work: A generalized Lyapunov theorem for descriptor system
cites work: A generalized state-space for singular systems
cites work: Robust D-stability analysis for uncertain discrete singular systems with state delay
cites work: Control of nonlinear systems with Markovian parameter changes
cites work: Exponential stabilizability of stochastic systems with Markovian jumping parameters
cites work: Robust stability and stabilizability of Markov jump linear uncertain systems with mode-dependent time delays
cites work: Stochastic stability properties of jump linear systems
cites work: Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control
cites work: Stability of stochastic differential equations with Markovian switching
cites work: \(H_\infty\)-control for Markovian jumping linear systems with parametric uncertainty
cites work: Robust H/sub ∞/ control of uncertain Markovian jump systems with time-delay
cites work: Robust H/sub ∞/ control of discrete-time Markovian jump linear systems with mode-dependent time-delays
cites work: Delay-dependent robust stability and H8 control of jump linear systems
DOI: 10.1007/S10957-005-6538-5
description: scientific article; zbMATH DE number 5070987