This paper is concerned with the globally projective synchronization in predefined time for two coupled Lorenz chaotic systems. Firstly, a new globally predefined time stability theorem is proposed. Subsequently, the predefined time projective synchronization is achieved between two coupled Lorenz chaotic systems via active control Lyapunov function design. Different control methods are designed such that two coupled Lorenz chaotic systems can achieve predefined time projective synchronization. Numerical simulations are presented in order to show the reliability of the proposed methods.
机构:
Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R ChinaSoutheast Univ, Dept Math, Nanjing 210096, Peoples R China
Cao, Jinde
Ho, Daniel W. C.
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City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R ChinaSoutheast Univ, Dept Math, Nanjing 210096, Peoples R China
Ho, Daniel W. C.
Yang, Yongqing
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Southeast Univ, Sch Automat, Nanjing 210096, Peoples R ChinaSoutheast Univ, Dept Math, Nanjing 210096, Peoples R China