New Estimations of Globally Exponentially Attractive Sets and Synchronization Controlling of a Class of Chaotic Finance Systems

Chaos-Fractals Theories and Applications(2010)

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摘要
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 two chaotic finance systems. The controllers here designed have simple structure. The numerical simulation results are in line with the theoretical analysis.
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numerical simulation result,chaotic finance system,chaos,globally exponentially attractive sets,inequalities techniques,globally exponentially attractive,exponential synchronization,synchronization controlling,exponentially attractive set,inequality technique,lyapunov functions,set theory,positive parameter,inequalities technique,new accurate spheroid estimation,feedback,linear feedback control,finance,globally exponential synchronization,generalized positive definite lyapunov,new estimations,numerical simulation,chaotic finance systems,synchronization control,radially unbound,spheroid estimation formula,lyapunov methods,synchronisation,bifurcation,positive definite,upper bound,trajectory,feedback control,lyapunov function,synchronization
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