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PROJECT TITLE :

Finite-Time Cluster Synchronization of T–S Fuzzy Complex Networks With Discontinuous Subsystems and Random Coupling Delays

ABSTRACT:

This paper is worried with the cluster synchronization in finite time for a category of complicated networks with nonlinear coupling strengths and probabilistic coupling delays. The complex networks contains many clusters of nonidentical discontinuous systems suffered from unsure bounded external disturbance. Based mostly on the Takagi–Sugeno (T–S) fuzzy interpolation approach, we initial obtain a collection of T–S fuzzy complex networks with constant coupling strengths. By developing some novel Lyapunov functionals and using the concept of Filippov resolution, some new analytical techniques are established to derive sufficient conditions guaranteeing the cluster synchronization during a setting time. In explicit, this paper extends the pinning management methods for networks with continuous-time dynamics to discontinuous networks. Numerical simulations demonstrate that the theoretical results are effective and therefore the T–S fuzzy approach is vital for relaxed results.


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