Finite-time synchronization analysis for general complex dynamical networks with hybrid couplings and time-varying delays
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This paper focuses on the finite-time synchronization problem for a kind of general complex networks with intrinsic time-varying delays and hybrid couplings (i.e., containing current-state couplings and time-varying delay couplings). By designing a simple discontinuous state feedback controller and using strict analytical techniques, several synchronization criteria are proposed to guarantee that the complex dynamical networks can be synchronized onto an isolated chaotic system in finite time. Besides, the upper bound of the synchronization time could be estimated, which is dependent on the initial values of the system as well as the delays. Then, some finite-time synchronization criteria about special cases of the complex networks are also obtained. Here, the coupling configuration matrices are not required to be symmetric or irreducible in all cases. Finally, numerical examples are provided to demonstrate the correctness of our theoretical results.
KeywordsComplex dynamical network Finite-time synchronization Hybrid coupling Time-varying delay
The authors are grateful to the reviewers and editors for their valuable comments and suggestions to improve the presentation of this paper. This work is supported by the National Natural Science Foundation of China (Grant Nos. 61273220, 61373087, 61472257, 61603260).
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