Title :
Robust impulsive lag synchronization of uncertain unified chaotic system with stochastic perturbation
Author :
Yang Fang ; Kang Yan ; Kelin Li
Author_Institution :
Sch. of Autom. & Electron. Inf., Sichuan Univ. of Sci. & Eng., Zigong, China
Abstract :
In this paper, an impulsive controller is designed to achieve exponentially lag synchronization for coupled uncertain unified chaotic systems with stochastic perturbation. Based on a comparison principle for stochastic impulsive systems, drive-response concept and linear matrix inequality (LMI) approach, several easily verified and realistic sufficient conditions in terms of linear matrix inequalities are derived to guarantee exponentially lag synchronization between the drive system and response system. Moreover, the exponential decay rate has been estimated. A numerical example is provided to validate the effectiveness of the proposed scheme.
Keywords :
chaos; linear matrix inequalities; nonlinear control systems; robust control; stochastic systems; uncertain systems; LMI approach; exponential decay rate; exponentially lag synchronization; impulsive controller; linear matrix inequalities; linear matrix inequality; robust impulsive lag synchronization; stochastic impulsive systems; stochastic perturbation; uncertain unified chaotic system; Chaotic communication; Control systems; Symmetric matrices; Synchronization; Uncertainty; Vectors; Comparison principle; Impulsive controller; Linear matrix inequality (LMI); Stochastic perturbation; Uncertain unified chaotic system;
Conference_Titel :
Natural Computation (ICNC), 2014 10th International Conference on
Conference_Location :
Xiamen
Print_ISBN :
978-1-4799-5150-5
DOI :
10.1109/ICNC.2014.6975879
