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In this paper, the chaos synchronization problem for energy resource demand-supply system(which is called as energy resources system in short) is proposed. Firstly , a nonlinear controller is designed via the active theory and sliding mode theory. Secondly, the existence of the sliding mode is discussed based on the Lyapunov stability theorem and the stability criterion of linear system. In the end,...
In this study, the secure communication application of switched chaotic systems which depend on a time-driven switching law is considered. The secure communications is set up by the masking scheme. Based on Lyapunov stability theorem, linear matrix inequality (LMI), and linear matrix equality (LME) optimization techniques, an output feedback controller is designed to synchronize the master-slave system...
This study addresses the synchronization of N different hyperchaotic systems. Simple robust controllers with state variable error feedback and nonlinear compensating mechanisms are designed, such that the states of N different hyperchaotic systems are asymptotically synchronized. According to the Lyapunov stability theorem, the asymptotic stability of the solutions of the state error system is studied...
This study addresses the synchronization of hyperchaotic Chen system. By using only one output, a novel controller with a high gain observer is designed to realize the globally asymptotical stability of the error dynamical system. According to the Lyapunov stability theorem, the asymptotic stability of the close loop system is studied. Numerical simulations and theoretical analysis show that the controller...
This study addresses the synchronization of the modified Chua circuit systems with fully unknown parameters and nonlinearity in the control input. A simple robust controller with a single-state variable feedback and a nonlinear compensating mechanism is derived, such that the states of two modified chaotic systems are asymptotically synchronized. According to the Lyapunov stability theorem, the asymptotic...
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