Robust stabilisation for a class of stochastic two-dimensional non-linear systems with time-varying delays

This study addresses the robust stabilisation problem for the two-dimensional (2D) discrete non-linear stochastic systems with time-varying delays in states. Based on the well-known Fornasini–Marchesini local state-space model, a more general 2D discrete non-linear system is considered with both sto...

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Bibliographic Details
Published in:	IET control theory & applications Vol. 7; no. 13; pp. 1699 - 1710
Main Authors:	Liang, Jinling, Wang, Zidong, Liu, Xiaohui
Format:	Journal Article
Language:	English
Published:	Stevenage The Institution of Engineering and Technology 01.09.2013 John Wiley & Sons, Inc
Subjects:	2D discrete nonlinear stochastic systems 2D stochastic nonlinear system Asymptotic properties asymptotic stability control system synthesis convex optimisation algorithms convex programming Delay delay dependent state feedback controller delays Design engineering discrete systems Dynamical systems Fornasini‐Marchesini local state‐space model Inequalities inequality techniques matrix inequalities mean square error methods nonlinear control systems Nonlinear dynamics robust control robust stabilisation problem state feedback stochastic analysis stochastic disturbances stochastic two dimensional nonlinear systems Stochasticity time‐varying delays time‐varying systems Two dimensional Fornasini-Marchesini local state-space model time-varying systems stochastic disturbances discrete systems robust stabilisation problem 2D discrete nonlinear stochastic systems control system synthesis convex programming matrix inequalities asymptotic stability convex optimisation algorithms stochastic two dimensional nonlinear systems inequality techniques delays nonlinear control systems delay dependent state feedback controller robust control 2D stochastic nonlinear system state feedback mean square error methods stochastic analysis time-varying delays
ISSN:	1751-8644, 1751-8652
Online Access:	Get full text
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