The Stability and Stabilization of Stochastic Delay-Time Systems

Gang Li and Ming Chen

Mathematical Problems in Engineering, 2014, vol. 2014, 1-8

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:272745

DOI: 10.1155/2014/272745

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