Journal
NONLINEAR DYNAMICS
Volume 83, Issue 1-2, Pages 75-87Publisher
SPRINGER
DOI: 10.1007/s11071-015-2310-z
Keywords
Finite-time synchronization; Chaotic system; Time-varying delay; Perturbation
Categories
Funding
- National Natural Science Foundation of China (NSFC) [61263020, 11471061]
- Natural Science Foundation of Scientific and Technical Committee of Chongqing City [cstc2014jcyjA00014]
- Research Foundation of HongHe University [XJ15SX05]
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This paper is concerned with synchronization in a setting time for drive-response chaotic systems with multiple time-varying delays. The driving and response systems exhibit different dynamical behaviors with nonidentical delays and uncertain bounded external perturbations. Due to the time delays, existing finite-time stability theorem cannot be applied to the synchronization goal. By designing suitable controller and designing some Lyapunov-Krasovskii functionals, sufficient conditions guaranteeing the finite-time synchronization are derived without using existing finite-time stability theorem. Results of this paper extend most of existing ones which can only finite-timely synchronize coupled identical systems without delay. Numerical simulations demonstrate the effectiveness of the theoretical analysis.
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