Fault‐tolerant mixed /passive synchronization for delayed chaotic neural networks with sampled‐data control

Abstract

This article is concerned with the fault‐tolerant mixed scriptH∞/passive synchronization problem for chaotic neural networks by sampled‐data control scheme. The objective is focused on the design of a reliable controller such that the mixed scriptH∞/passivity performance level of the resulting synchronization error system is ensured in the presence of actuator failures. A time‐dependent Lyapunov functional and an improved reciprocally convex approach combined with a novel integral inequality are applied to optimize the availability of the information on the actual sampling pattern. Then, some sufficient conditions of mixed scriptH∞/passivity performance analysis for the synchronization error systems are derived. A desired reliable sampled‐data controller is designed by solving the optimization problems. Finally, to demonstrate the effectiveness of the proposed method, a practical chaotic neural networks is provided. © 2015 Wiley Periodicals, Inc. Complexity 21: 246–259, 2016

Structure‐triggered asymptotical synchronization for nonidentical generalized stochastic systems with Markovian jumping parameter based on sliding mode control

“…In recent years, due to the wide range of applications in various fields including information science, secure communication systems, and so on (see References 9‐23), the synchronization problems of systems have been intensively investigated. There are several types of synchronization in these researches.…”

“…There are several types of synchronization in these researches. As in many situations, the master and the slave systems have nonidentical dynamic structure or parameters, so chaotic synchronization between two different stochastic systems have attracted more and more attention, and many results have been proposed (see References 15‐23). The fact that master system and slave system have uncertain dynamics is one of the challenges in the synchronization problems.…”

Exponential H∞ synchronization of non-fragile sampled-data controlled complex dynamical networks with random coupling and time varying delay

“…Remark 3.3: When δ 1 (t) = 1 is considered in (53) with no disturbances ( (t) = 0) and transmission delays as well as absence of randomness in the controller gain uncertainties, with similar system considered in Wu et al (2012), Liu et al (2018) and Su and Shen (2015).…”

“…3) designing and implementing the proposed controller to guarantee synchronization of the CDNs under an unstable circumstance. 4) Two solved numerical examples which indicated less conservativeness in our results compared with some existing simulation results (Li et al, 2011;Liu et al, 2018;Su & Shen, 2015;Wu et al, 2012;Yang, Shu, Zhong, & Wang, 2016).…”

“…In the past few decades, a lot of attention have been devoted to the study of complex dynamical networks (CDNs), which have massive applications in areas of science and engineering such as Internet, biological networks, World Wide Web, epidemic spreading networks, social networks and electric power grids (Dorato, 1998;Hu, Wang, Gao, & Stergioulas, 2012;Kwon, Park, & Lee, 2008;Lakshmanan, Mathiyalagan, Park, Sakthivel, & Rihan, 2014;Li & Chen, 2004;Li, Zhang, Hu, & Nie, 2011;Liu, Guo, Park, & Lee, 2018;Seuret & Gouaisbaut, 2013;Strogstz, 2001;Su & Shen, 2015;Wu, Park, Su, Song, & Chu, 2012;Zeng, He, Wu, & She, 2015;Zhang, He, & Wu, 2010;Zhang, Wu, She, & He, 2005). Many of these networks have shown some complexities with regard to their topologies and dynamical characteristics concerning the network nodes and their coupled units.…”