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The tracking control and chaotic synchronization problem for a class of continuous time uncertain chaotic system is studied. A fuzzy sliding mode variable structure control approach is proposed. A controller based on the fuzzy sliding mode variable structure approach is designed and the stability of the control system is proved by Lyapunov stability theory. Using this controller, two chaotic systems...
In this paper, the chaos and chaos synchronism of two physical systems are studied further by numerical simulation. The adaptive synchronism method is used to synchronize Rikitake and Porous Media systems with fully unknown parameters and two significantly different initial conditions. The sufficient condition of global asymptotic synchronization with adaptive control amplitudes is attained from the...
Adaptive function projective synchronization between two different chaotic system with unknown parameters is studied based on Lyapunov stability theory, using the adaptive control method, all uncertain parameters including unknown coefficients of nonlinear terms of the drive system and response system are identified. Taking the single-mode laser Lorenz system and single scroll attractor chaotic system...
This paper presents a general impulsively-coupled complex dynamical network (ICCDN) model with parametric uncertainty and time-varying delays. Robust synchronization of the ICCDN with uncertainty and delays is investigated. Based on the Lyapunov stability theory, delay-independent synchronization conditions for the ICCDN with uncertainty and delays are obtained. A systematic-design procedure is presented,...
In this paper, the robust synchronization of two identical Lu hyperchaotic systems with parametric uncertainties is investigated. The Lu hyperchaotic systems are represented by the T-S fuzzy models with a small number of fuzzy if-then rules exactly. Then, based on the T-S fuzzy Lu hyperchaotic systems, a fuzzy controllers are designed via parallel distributed compensation (PDC) and exact linearization...
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