Robust \(H_{\infty}\) control for linear stochastic partial differential systems with time delay
type: Item
instance of: scholarly article
title: Robust \(H_{\infty}\) control for linear stochastic partial differential systems with time delay
zbMATH Open document ID: 1407.93152
DOI: 10.1155/2014/489408
author: Xisheng Dai
author: Jianxiang Zhang
author: Feiqi Deng
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper investigates the problems of robust stochastic mean square exponential stabilization and robust \(H_{\infty}\) for stochastic partial differential time delay systems. Sufficient conditions for the existence of state feedback controllers are proposed, which ensure mean square exponential stability of the resulting closed-loop system and reduce the effect of the disturbance input on the controlled output to a prescribed level of \(H_{\infty}\) performance. A linear matrix inequality approach is employed to design the desired state feedback controllers. An illustrative example is provided to show the usefulness of the proposed technique.
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 60H15
zbMATH DE Number: 7016559
Wikidata QID: Q59067726
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/489408
OpenAlex ID: W2010183097
cites work: Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
cites work: Robust \(H_2/H_{\infty}\) filter design for a class of nonlinear stochastic systems with state-dependent noise
cites work: \(H_\infty\) control of network-based systems with packet disordering and packet loss compensation
cites work: Robust H/sub /spl infin// filtering for nonlinear stochastic systems
cites work: Stochastic&gt;tex&lt;$H_2/H_infty $&gt;/tex&lt;Control WithState-Dependent Noise
cites work: Robust stochastic stabilization and \(H_{\infty}\) control of uncertain neutral stochastic time-delay systems
cites work: Q4848744
cites work: Theory and applications of partial functional differential equations
cites work: Representation and control of infinite dimensional systems. Vol. 2
cites work: Linear and quasilinear elliptic equations
cites work: Robust control of infinite dimensional systems. Frequency domain methods
cites work: An LMI approach to \({\mathcal H}_\infty\) boundary control of semilinear parabolic and hyperbolic systems
cites work: Exponential stability of linear distributed parameter systems with time-varying delays
cites work: Robust Observer-Based Control of Large Flexible Structures
cites work: Stability of Infinite Dimensional Stochastic Differential Equations with Applications
cites work: Q3425601
cites work: Stochastic Equations in Infinite Dimensions
cites work: Moment and almost sure Lyapunov exponents of mild solutions of stochastic evolution equations with variable delays via approximation approaches
cites work: The exponential stability for stochastic delay partial differential equations
cites work: Feedback stabilization of some nonlinear stochastic systems on Hilbert space
cites work: Adaptive Boundary and Point Control of Linear Stochastic Distributed Parameter Systems
cites work: On the Necessary Conditions of Optimal Controls for Stochastic Partial Differential Equations
cites work: Optimal Control of Stochastic Partial Differential Equations
cites work: Parameter estimation in infinite-dimensional stochastic differential equations
cites work: Q3166511
cites work: Linear Matrix Inequalities in System and Control Theory
description: scientific article; zbMATH DE number 7016559