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Dissipative Delay-Feedback Control for Nonlinear Stochastic Systems with Time-Varying Delay

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  • Guici Chen
  • Jianzhong Zhou
  • Yongchuan Zhang

Abstract

The dissipative delay-feedback control problems for nonlinear stochastic delay systems (NSDSs) based on dissipativity analysis are studied in this paper. Based on the Lyapunov stability theory and stochastic analysis technique, both delay-independent and delay-dependent dissipativity criteria are established as linear matrix inequalities- (LMIs-) based feasibility tests. The obtained results in this paper for the nominal systems include the available results on approach and passivity for stochastic delay systems as special cases. The delay-dependent feedback controller is designed by considering the relationship among the time-varying delay, its lower and upper bound, and its differential without ignoring any terms, which effectively reduces the conservative. A numerical example is given to illustrate the theoretical developments.

Suggested Citation

  • Guici Chen & Jianzhong Zhou & Yongchuan Zhang, 2014. "Dissipative Delay-Feedback Control for Nonlinear Stochastic Systems with Time-Varying Delay," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-11, May.
    • Handle: RePEc:hin:jnlmpe:249860
    DOI: 10.1155/2014/249860
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