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Your search keyword '"CHEN, HSIEN-KENG"' showing total 3 results
Start Over Author "CHEN, HSIEN-KENG" Topic lyapunov stability
3 results on '"CHEN, HSIEN-KENG"'

1. SYNCHRONIZATION OF MULTIPLE CHAOTIC SYSTEMS COUPLED IN A RING STRUCTURE.

Author

CHEN, HSIEN-KENG and LIN, TSUNG-NAN

Subjects
*CHAOS theory, *SYNCHRONIZATION, *LYAPUNOV stability, *ATTRACTORS (Mathematics), *COMPUTER simulation, *MATHEMATICAL models, *NUMERICAL analysis
Abstract

Synchronization of multiple identical chaotic systems, coupled in a ring structure, was studied in this paper. Ueda attractor was used as an example to perform the synchronization of several chaotic systems. The bound of the Ueda attractor was also estimated by numerical simulation. The above results were also adopted to design a controller to synchronize chaotic systems. The stability of the synchronization of multiple identical chaotic systems was investigated using Lyapunov's direct method. Some sufficient conditions of asymptotical synchronization were attained from rigorous mathematical theory. Further, numerical results were also demonstrated in order to validate the proposed synchronization approach. [ABSTRACT FROM AUTHOR]

Published
2011
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2. Synchronization and anti-synchronization coexist in Chen–Lee chaotic systems

Author

Chen, Juhn-Horng, Chen, Hsien-Keng, and Lin, Yu-Kai

Subjects
*LYAPUNOV stability, *CHAOS theory, *SYNCHRONIZATION, *NUMERICAL analysis
Abstract

Abstract: This study demonstrates that synchronization and anti-synchronization can coexist in Chen–Lee chaotic systems by direct linear coupling. Based on Lyapunov’s direct method, a linear controller was designed to assure that two different types of synchronization can simultaneously be achieved. Further, the hybrid projective synchronization of Chen–Lee chaotic systems was studied using a nonlinear control scheme. The nonlinear controller was designed according to the Lyapunov stability theory to guarantee the hybrid projective synchronization, including synchronization, anti-synchronization, and projective synchronization. Finally, numerical examples are presented in order to illustrate the proposed synchronization approach. [Copyright &y& Elsevier]

Published
2009
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3. Global chaos synchronization of new chaotic systems via nonlinear control

Author

Chen, Hsien-Keng

Subjects
*DIFFERENTIAL equations, *CONTROL theory (Engineering), *AUTOMATION, *LYAPUNOV functions, *LYAPUNOV stability
Abstract

Abstract: Nonlinear control is an effective method for making two identical chaotic systems or two different chaotic systems be synchronized. However, this method assumes that the Lyapunov function of error dynamic (e) of synchronization is always formed as V(e)=1/2eTe. In this paper, modification based on Lyapunov stability theory to design a controller is proposed in order to overcome this limitation. The method has been applied successfully to make two identical new systems and two different chaotic systems (new system and Lorenz system) globally asymptotically synchronized. Since the Lyapunov exponents are not required for the calculation, this method is effective and convenient to synchronize two identical systems and two different chaotic systems. Numerical simulations are also given to validate the proposed synchronization approach. [Copyright &y& Elsevier]

Published
2005
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