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In the paper, we firstly give a new accurate spheroid estimation formula of the globally exponentially attractive set for all positive parameters by constructing a generalized positive definite Lyapunov functions with radially unbound. Secondly, based on inequalities techniques, linear feedback control with one input or two inputs is proposed to realize the globally exponential synchronization of...
For the blindness in initialization of particle swarm optimization algorithm and the phenomenon of premature occurred in the course of evolution, a new algorithm is proposed in this paper: blind detection algorithm based on adaptive chaotic particle swarm optimization. The performance simulation shows that, using of randomness and ergodicity of chaos, the improved algorithm compared with the method...
This paper treats the globally exponential synchronization problem for a new energy resource chaotic system with two scroll attractors via nonlinear feedback of partial states. Nonlinear feedback rules with some variables and two inputs are derived based on Lyapunov stability theory. The most important features are that the synchronization is achieved through the control of some variables and the...
This paper treats the globally exponential synchronization problem of a new Lorenz-like chaotic systems. Based on Lyapunov stability theory and some inequalities techniques, two control approaches, namely both linear feedback control with one state feedback and one input or with one state feedback and two inputs and nonlinear feedback control with two inputs, are proposed to realize the globally exponential...
This paper treats the globally exponentially attractive set and synchronization problem of a new Lorenz-like chaotic systems. Firstly, based on the definition of globally exponentially attractive set and Lyapunov stability theory, by constructing a family of generalized positive definite Lyapunov functions with radially unbound respect with to the parameters of the system, a new estimation of the...
This Letter deals with the global exponential synchronization of a class of chaotic networks with time delays. Based on the Halanay inequality technique and the Lyapunov stability theory, the global synchronization of a network about its all variables is derived by only considering the global synchronization of its partial variables, and a delay-independent criteria and decentralized control law is...
This paper treats the chaotic synchronization problem for Rikitake chaotic systems via unidirectional coupling with partial systems states. Two control approaches, namely the self coupling of single state variable and nonlinear feedback controller with partial systems states, are investigated. Based on the Lyapunov stability technique, control laws based on single variable of driven system are derived...
A FLS-based adaptive control approach with stability analysis is proposed to control a class of chaotic system with unknown nonlinear function to track a reference trajectory. Fuzzy logic system (FLS) is introduced to parameterize the unknown nonlinear function; an n-dimension supervisory controller attached to the adaptive controller is developed to guarantee the boundedness of the output signal...
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