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author:

Mao, X. (Mao, X..) [1] | Liu, W. (Liu, W..) [2] | Hu, L. (Hu, L..) [3] | Luo, Q. (Luo, Q..) [4] | Lu, J. (Lu, J..) [5]

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Scopus

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 τ between two consecutive state observations. However, it is due to the general technique used there that the bound on τ 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 τ. 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. © 2014 Elsevier Ltd. All rights reserved.

Keyword:

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

Community:

  • [ 1 ] [Mao, X.]Department of Mathematics and Statistics, University of Strathclyde, Glasgow, G1 1XH, United Kingdom
  • [ 2 ] [Mao, X.]School of Economics and Management, Fuzhou University, China
  • [ 3 ] [Liu, W.]Department of Mathematical Sciences, Loughborough University, Loughborough, LE11 3TU, United Kingdom
  • [ 4 ] [Hu, L.]Department of Applied Mathematics, Donghua University, Shanghai, 201620, China
  • [ 5 ] [Luo, Q.]Department of Information and Communication, Nanjing University of Information Science and Technology, Nanjing, 210044, China
  • [ 6 ] [Lu, J.]Department of Mathematics and Statistics, University of Strathclyde, Glasgow, G1 1XH, United Kingdom

Reprint 's Address:

  • [Mao, X.]Department of Mathematics and Statistics, University of StrathclydeUnited Kingdom

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Source :

Systems and 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 HC Threshold:184

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 116

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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