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

Guici Chen, Jianzhong Zhou and Yongchuan Zhang

Mathematical Problems in Engineering, 2014, vol. 2014, 1-11

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:249860

DOI: 10.1155/2014/249860

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