The Stability and Stabilization of Stochastic Delay-Time Systems | Zendy

Gang Li | Zendy; Ming Chen | Zendy

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The Stability and Stabilization of Stochastic Delay-Time Systems

Author(s) -

Gang Li,

Ming Chen

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/272745

Subject(s) - deference , stability (learning theory) , spectrum (functional analysis) , term (time) , representation (politics) , mathematics , operator (biology) , relation (database) , control theory (sociology) , computer science , control (management) , artificial intelligence , law , machine learning , data mining , physics , biochemistry , chemistry , repressor , quantum mechanics , politics , political science , transcription factor , gene

The aim of this paper is to investigate the stability and the stabilizability of stochastic time-delay deference system. To do this, we use mainly two methods to give a list of the necessary and sufficient conditions for the stability and stabilizability of the stochastic time-delay deference system. One way is in term of the operator spectrum and -representation; the other is by Lyapunov equation approach. In addition, we introduce the notion of unremovable spectrum of stochastic time-delay deference system, describe the PBH criterion of the unremovable spectrum of time-delay system, and investigate the relation between the unremovable spectrum and the stabilizability of stochastic time-delay deference system.

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