Finite-time synchronization of sampled-data T–S fuzzy complex dynamical networks subject to average dwell-time approach

• Published in: Fuzzy sets and systems Vol. 374; pp. 40 - 59
• Main Authors: Gunasekaran, Nallappan, Saravanakumar, Ramasamy, Joo, Young Hoon, Kim, Han Sol
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.11.2019
• Subjects: Complex dynamical networks (CDNs); Finite-time synchronization; Integral inequality; Lyapunov method; Sampled-data control; Sampled-data control; Lyapunov method; Integral inequality; Finite-time synchronization; Complex dynamical networks (CDNs)
• ISSN: 0165-0114; 1872-6801
• DOI: 10.1016/j.fss.2019.01.007

The problem of finite-time synchronization for Takagi–Sugeno (T–S) fuzzy complex dynamical networks with coupling delays via sampled-data control is presented in this paper. To change the sampled-data control system into a continuous time-delayed system, an input delay approach is applied. Based on the Lyapunov stability theory, a suitable Lyapunov–Krasovskii functional (LKF) is constructed with the Kronecker products. Furthermore, by applying the average dwell-time approach, a novel sufficient condition is established to ascertain the finite-time stabilization of fuzzy complex dynamical networks (CDNs) with switching signals. The proposed method is less conservative than conventional approaches, since the newly developed time-dependent fuzzy LKF is used. The proposed sufficient condition can be represented in the form of linear matrix inequalities (LMIs). Finally, the effectiveness and superiority of the proposed approach is validated through both numerical and practical examples.