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ANALYSIS ON THE GLOBALLY EXPONENT SYNCHRONIZATION OF CHUA'S CIRCUIT USING ABSOLUTE STABILITY THEORY

Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, P. R. China

Currently, the author is also with School of Automatics, Wuhan University of Science and Technology, Wuhan, Hubei, 430070, P. R. China.

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and

PEI YU

Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B7, Canada

Author for correspondence.

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https://doi.org/10.1142/S0218127405014350Cited by:11 (Source: Crossref)

Abstract

In this paper, the absolute stability theory and methodology for nonlinear control systems are employed to study the well-known Chua's circuit. New results are obtained for the globally exponent synchronization of two Chua's circuits. The explicit formulas can be easily applied in practice. With the aid of constructing Lyapunov functions, sufficient conditions are derived, under which two (drive-response) Chua's circuits are globally and exponentially synchronized, even if the motions of the systems are divergent to infinity. Numerical simulation results are given to illustrate the theoretical predictions.

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