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author:

Mao, Xuerong (Mao, Xuerong.) [1]

Indexed by:

EI Scopus SCIE

Abstract:

In this paper we are concerned with the mean-square exponential stabilization of continuous-time hybrid stochastic differential equations (also known as stochastic differential equations with the Markovian switching) by discrete-time feed back controls. Although the stabilization by continuous-time feedback controls for such equations has been discussed by several authors (see e.g. Ji and Chizeck (1990); Mao, Lam, and Huang (2008); Mao, Yin, and Yuan (2007); Wu, Shi, and Gao (2010); Wu, Su, and Shi (2012)), there is so far no result on the stabilization by discrete-time feedback controls. Our aim here is to initiate the study in this area by establishing some new results. 2013 Elsevier Ltd. All rights reserved.

Keyword:

Brownian motion Discrete-time feedback control Markov chain Mean-square exponential stability.

Community:

  • [ 1 ] [Mao, Xuerong]Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland
  • [ 2 ] [Mao, Xuerong]Fuzhou Univ, Sch Business, Fuzhou, Peoples R China

Reprint 's Address:

  • 蔡其洪

    [Mao, Xuerong]Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland

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Source :

AUTOMATICA

ISSN: 0005-1098

Year: 2013

Issue: 12

Volume: 49

Page: 3677-3681

3 . 1 3 2

JCR@2013

4 . 8 0 0

JCR@2023

ESI Discipline: ENGINEERING;

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 186

SCOPUS Cited Count: 190

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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