Finite-time synchronization for periodic T–S fuzzy master-slave neural networks with distributed delays. Issue 4 (March 2021)

• Record Type: Journal Article
• Authors: Liu, Chang; Guo, Yuru; Rao, Hongxia; Lin, Ming; Xu, Yong
• Is Part Of: Journal of the Franklin Institute. Volume 358:Issue 4(2021)
• Page Start: 2367
• Page End: 2381
• Publication Date: 2021-03
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2020.12.030
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: Finite-time (FT) synchronization for periodic T–S fuzzy master-slave neural networks (NNs) with distributed delays is addressed in this work. A fuzzy controller is designed for the salve NNs to synchronize the master NNs in FT and a synchronization error system (SES) is derived. Sufficient conditions are established to guarantee that the SES is FT bounded by using the mode and fuzzy basis dependent Lyapunov function. A new algorithm is proposed to obtain the suboptimal boundary of the SES to analyze how the periodic characteristics affect the system boundary. Finally, a numerical example is provided to demonstrate the validity of the fuzzy controller and the iterative algorithm for the boundary.