Delay dependent stability of highly nonlinear hybrid stochastic systems

Weiyin Fei, Liangjian Hu, Xuerong Mao, Mingxuan Shen

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

There are lots of papers on the delay dependent stability criteria for differential delay equations (DDEs), stochastic differential delay equations (SDDEs) and hybrid SDDEs. A common feature of these existing criteria is that they can only be applied to delay equations where their coefficients are either linear or nonlinear but bounded by linear functions (namely, satisfy the linear growth condition). In other words, there is so far no delay-dependent stability criterion on nonlinear equations without the linear growth condition (we will refer to such equations as highly nonlinear ones). This paper is the first to establish delay dependent criteria for highly nonlinear hybrid SDDEs. It is therefore a breakthrough in the stability study of highly nonlinear hybrid SDDEs
LanguageEnglish
Pages165-170
Number of pages6
JournalAutomatica
Volume82
Early online date18 May 2017
DOIs
Publication statusE-pub ahead of print - 18 May 2017

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Stochastic Differential Delay Equations
Delay-dependent Stability
Stochastic systems
Stability criteria
Hybrid Systems
Stochastic Systems
Delay-dependent Criteria
Growth Conditions
Stability Criteria
Nonlinear equations
Differential Delay Equations
Delay Equations
Linear Function
Nonlinear Equations
Coefficient

Keywords

  • H∞ stability
  • hybrid delay systems
  • asymptotic stability
  • Lyapunov functional
  • delay-dependent stability criterion
  • nonlinear equations
  • time-delay
  • differential delay equations

Cite this

Fei, Weiyin ; Hu, Liangjian ; Mao, Xuerong ; Shen, Mingxuan. / Delay dependent stability of highly nonlinear hybrid stochastic systems. In: Automatica. 2017 ; Vol. 82. pp. 165-170.
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Delay dependent stability of highly nonlinear hybrid stochastic systems. / Fei, Weiyin; Hu, Liangjian; Mao, Xuerong; Shen, Mingxuan.

In: Automatica, Vol. 82, 18.05.2017, p. 165-170.

Research output: Contribution to journalArticle

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KW - H∞ stability

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