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The Stability and Stabilization of Stochastic Delay-Time Systems

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  • Gang Li
  • Ming Chen

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.

Suggested Citation

  • Gang Li & Ming Chen, 2014. "The Stability and Stabilization of Stochastic Delay-Time Systems," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-8, June.
    • Handle: RePEc:hin:jnlmpe:272745
    DOI: 10.1155/2014/272745
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