Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control

Research output: Contribution to journalArticle

57 Citations (Scopus)

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 feedback 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 et al., 2008, Mao et al., 2007, Wu et al., 2010 and Wu et al., 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.
LanguageEnglish
Pages3677-3681
Number of pages5
JournalAutomatica
Volume49
Issue number12
Early online date26 Oct 2013
DOIs
Publication statusPublished - Dec 2013

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Feedback Control
Feedback control
Stochastic Equations
Continuous Time
Discrete-time
Stabilization
Differential equations
Differential equation
Exponential Stabilization
Markovian Switching
Mean Square

Keywords

  • brownian motion
  • discrete-time feedback control
  • mean-square exponential stability
  • markov chain

Cite this

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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 feedback 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 et al., 2008, Mao et al., 2007, Wu et al., 2010 and Wu et al., 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.",
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Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control. / Mao, Xuerong.

In: Automatica, Vol. 49, No. 12, 12.2013, p. 3677-3681.

Research output: Contribution to journalArticle

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AB - 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 feedback 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 et al., 2008, Mao et al., 2007, Wu et al., 2010 and Wu et al., 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.

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