期刊
IEEE TRANSACTIONS ON FUZZY SYSTEMS
卷 23, 期 6, 页码 2302-2316出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2015.2417973
关键词
Cluster; complex network; discontinuous system; finite-time synchronization; random delay; Takagi-Sugeno (T-S) fuzzy
资金
- National Natural Science Foundation of China [61263020, 11471061, 61175119, 61273218]
- RGC of HKSAR [GRF CityU 114113, CityU 11204514]
This paper is concerned with the cluster synchronization in finite time for a class of complex networks with nonlinear coupling strengths and probabilistic coupling delays. The complex networks consist of several clusters of nonidentical discontinuous systems suffered from uncertain bounded external disturbance. Based on the Takagi-Sugeno (T-S) fuzzy interpolation approach, we first obtain a set of T-S fuzzy complex networks with constant coupling strengths. By developing some novel Lyapunov functionals and using the concept of Filippov solution, some new analytical techniques are established to derive sufficient conditions ensuring the cluster synchronization in a setting time. In particular, this paper extends the pinning control strategies for networks with continuous-time dynamics to discontinuous networks. Numerical simulations demonstrate that the theoretical results are effective and the T-S fuzzy approach is important for relaxed results.
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