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author:

Mao, Xuerong (Mao, Xuerong.) [1] | Liu, Wei (Liu, Wei.) [2] | Hu, Liangjian (Hu, Liangjian.) [3] | Luo, Qi (Luo, Qi.) [4] | Lu, Jianqiu (Lu, Jianqiu.) [5]

Indexed by:

EI Scopus SCIE

Abstract:

Recently, Mao (2013) discusses the mean-square exponential stabilization of continuous-time hybrid stochastic differential equations by feedback controls based on discrete-time state observations. Mao (2013) also obtains an upper bound on the duration tau between two consecutive state observations. However, it is due to the general technique used there that the bound on tau is not very sharp. In this paper, we will consider a couple of important classes of hybrid SDEs. Making full use of their special features, we will be able to establish a better bound on tau. Our new theory enables us to observe the system state less frequently (so costs less) but still to be able to design the feedback control based on the discrete-time state observations to stabilize the given hybrid SDEs in the sense of mean-square exponential stability. (C) 2014 The Authors. Published by Elsevier B.V.

Keyword:

Brownian motion Discrete-time state observation Feedback control Markov chain Mean-square exponential stability

Community:

  • [ 1 ] [Mao, Xuerong]Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland
  • [ 2 ] [Lu, Jianqiu]Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland
  • [ 3 ] [Mao, Xuerong]Fuzhou Univ, Sch Econ & Management, Fuzhou, Peoples R China
  • [ 4 ] [Liu, Wei]Univ Loughborough, Dept Math Sci, Loughborough LE11 3TU, Leics, England
  • [ 5 ] [Hu, Liangjian]Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
  • [ 6 ] [Luo, Qi]Nanjing Univ Informat Sci & Technol, Dept Informat & Commun, Nanjing 210044, Jiangsu, 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 :

SYSTEMS & CONTROL LETTERS

ISSN: 0167-6911

Year: 2014

Volume: 73

Page: 88-95

2 . 0 5 9

JCR@2014

2 . 1 0 0

JCR@2023

ESI Discipline: ENGINEERING;

ESI HC Threshold:184

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 109

SCOPUS Cited Count: 115

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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