title: Non-fragile sampled-data robust synchronization of uncertain delayed chaotic Lurie systems with randomly occurring controller gain fluctuation.
abstract: This paper proposes a new non-fragile stochastic control method to investigate the robust sampled-data synchronization problem for uncertain chaotic Lurie systems (CLSs) with time-varying delays. The controller gain fluctuation and time-varying uncertain parameters are supposed to be random and satisfy certain Bernoulli distributed white noise sequences. Moreover, by choosing an appropriate Lyapunov-Krasovskii functional (LKF), which takes full advantage of the available information about the actual sampling pattern and the nonlinear condition, a novel synchronization criterion is developed for analyzing the corresponding synchronization error system. Furthermore, based on the most powerful free-matrix-based integral inequality (FMBII), the desired non-fragile sampled-data estimator controller is obtained in terms of the solution of linear matrix inequalities. Finally, three numerical simulation examples of Chua's circuit and neural network are provided to show the effectiveness and superiorities of the proposed theoretical results.
authors.affiliation: School of Information Science and Engineering, Chengdu University, Chengdu 610106, China; Department of Computer and Information Science, Faculty of Science and Technology, University of Macau, Taipa 853, Macau, China. Electronic address: skbs111@163.com.
authors.forename: Kaibo
authors.initials: K
authors.lastname: Shi
authors.affiliation: Department of Computer and Information Science, Faculty of Science and Technology, University of Macau, Taipa 853, Macau, China.
authors.forename: Yuanyan
authors.initials: Y
authors.lastname: Tang
authors.affiliation: Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1.
authors.forename: Xinzhi
authors.initials: X
authors.lastname: Liu
authors.affiliation: School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China.
authors.forename: Shouming
authors.initials: S
authors.lastname: Zhong
keywords: Chaotic Lurie system; Neural networks; Non-fragile sampled-data control; Randomly occurring controller gain fluctuation; Robust synchronization