Global finite-time synchronization of a class of the non-autonomous chaotic systems |
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Authors: | Yaqiao Yang Xiaofeng Wu |
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Institution: | 1. College of Electronic Engineering, Naval University of Engineering, Wuhan, 430033, P.R. China 2. Guangzhou Navy Academy, Guangzhou, 510430, P.R. China
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Abstract: | This paper investigates the global finite-time synchronization of a class of the second-order nonautonomous chaotic systems via a master?Cslave coupling. A?continuous generalized linear state-error feedback controller with simple structure is introduced into the synchronization scheme. Some easily implemented algebraic criteria for achieving the global finite-time synchronization are proven and then optimized for the purposes of improving their sharpness. The optimized criteria are applied to a practical master?Cslave synchronization scheme for the single-machine-infinite-bus (SMIB) systems, obtaining the precise corresponding synchronization conditions. Several numerical examples are provided to illustrate the effectiveness of the new synchronization criteria. |
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