Exponential Stability in Mean Square of Singular Markovian Jump System with Saturating Actuators and Time-Varying Delay

Exponential Stability in Mean Square of Singular Markovian Jump System with Saturating Actuators and Time-Varying Delay

This paper investigates exponential stability in mean square of singular Markovian jump systems with saturating actuators and time-varying delay. The statistical property of the Markov process is fully used to derive the differential of the function. By using a delay decomposition method, a mode-dep...

Full description

Bibliographic Details
Main Authors: Fangqing Ding, Xianfa Jiao
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/420420
id doaj-56e8af0ab7314b7b83117e0e6dd5e1c8
record_format Article
spelling doaj-56e8af0ab7314b7b83117e0e6dd5e1c82020-11-24T22:39:18ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/420420420420Exponential Stability in Mean Square of Singular Markovian Jump System with Saturating Actuators and Time-Varying DelayFangqing Ding0Xianfa Jiao1School of Mathematics, Hefei University of Technology, Hefei 230009, ChinaSchool of Mathematics, Hefei University of Technology, Hefei 230009, ChinaThis paper investigates exponential stability in mean square of singular Markovian jump systems with saturating actuators and time-varying delay. The statistical property of the Markov process is fully used to derive the differential of the function. By using a delay decomposition method, a mode-dependent Lyapunov-Krasovskii function is established. A sufficient condition is proposed for exponential stability in mean square of the system designing the memoryless state feedback. A numerical example shows that the approach proposed is effective.http://dx.doi.org/10.1155/2013/420420
collection DOAJ
language English
format Article
sources DOAJ
author Fangqing Ding
Xianfa Jiao
spellingShingle Fangqing Ding
Xianfa Jiao
Exponential Stability in Mean Square of Singular Markovian Jump System with Saturating Actuators and Time-Varying Delay
Mathematical Problems in Engineering
author_facet Fangqing Ding
Xianfa Jiao
author_sort Fangqing Ding
title Exponential Stability in Mean Square of Singular Markovian Jump System with Saturating Actuators and Time-Varying Delay
title_short Exponential Stability in Mean Square of Singular Markovian Jump System with Saturating Actuators and Time-Varying Delay
title_full Exponential Stability in Mean Square of Singular Markovian Jump System with Saturating Actuators and Time-Varying Delay
title_fullStr Exponential Stability in Mean Square of Singular Markovian Jump System with Saturating Actuators and Time-Varying Delay
title_full_unstemmed Exponential Stability in Mean Square of Singular Markovian Jump System with Saturating Actuators and Time-Varying Delay
title_sort exponential stability in mean square of singular markovian jump system with saturating actuators and time-varying delay
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description This paper investigates exponential stability in mean square of singular Markovian jump systems with saturating actuators and time-varying delay. The statistical property of the Markov process is fully used to derive the differential of the function. By using a delay decomposition method, a mode-dependent Lyapunov-Krasovskii function is established. A sufficient condition is proposed for exponential stability in mean square of the system designing the memoryless state feedback. A numerical example shows that the approach proposed is effective.
url http://dx.doi.org/10.1155/2013/420420
work_keys_str_mv AT fangqingding exponentialstabilityinmeansquareofsingularmarkovianjumpsystemwithsaturatingactuatorsandtimevaryingdelay
AT xianfajiao exponentialstabilityinmeansquareofsingularmarkovianjumpsystemwithsaturatingactuatorsandtimevaryingdelay
_version_ 1725709667965861888

Similar Items