title: Stability of uncertain impulsive complex-variable chaotic systems with time-varying delays.
abstract: In this paper, the robust exponential stabilization of uncertain impulsive complex-variable chaotic delayed systems is considered with parameters perturbation and delayed impulses. It is assumed that the considered complex-variable chaotic systems have bounded parametric uncertainties together with the state variables on the impulses related to the time-varying delays. Based on the theories of adaptive control and impulsive control, some less conservative and easily verified stability criteria are established for a class of complex-variable chaotic delayed systems with delayed impulses. Some numerical simulations are given to validate the effectiveness of the proposed criteria of impulsive stabilization for uncertain complex-variable chaotic delayed systems.
authors.affiliation: School of Mathematics and Statistics, Zhejiang University of Finance & Economics, Hangzhou, Zhejiang 310018, PR China. Electronic address: zhengs02012@gmail.com.
authors.forename: Song
authors.initials: S
authors.lastname: Zheng
keywords: Adaptive; Complex-variable chaotic delayed system; Delayed impulse; Impulsive stabilization