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

作者:Chen Guici*; Zhou Jianzhong; Zhang Yongchuan
来源:Mathematical Problems in Engineering, 2014, 2014: 249860.
DOI:10.1155/2014/249860

摘要

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 H-infinity 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.

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