title: Stochastic sampled-data control for synchronization of complex dynamical networks with control packet loss and additive time-varying delays.
abstract: This study examines the exponential synchronization of complex dynamical networks with control packet loss and additive time-varying delays. Additionally, sampled-data controller with time-varying sampling period is considered and is assumed to switch between m different values in a random way with given probability. Then, a novel Lyapunov-Krasovskii functional (LKF) with triple integral terms is constructed and by using Jensen's inequality and reciprocally convex approach, sufficient conditions under which the dynamical network is exponentially mean-square stable are derived. When applying Jensen's inequality to partition double integral terms in the derivation of linear matrix inequality (LMI) conditions, a new kind of linear combination of positive functions weighted by the inverses of squared convex parameters appears. In order to handle such a combination, an effective method is introduced by extending the lower bound lemma. To design the sampled-data controller, the synchronization error system is represented as a switched system. Based on the derived LMI conditions and average dwell-time method, sufficient conditions for the synchronization of switched error system are derived in terms of LMIs. Finally, numerical example is employed to show the effectiveness of the proposed methods.
authors: Department of Mathematics, Bharathiar University, Coimbatore - 641 046, Tamilnadu, India.
authors: R
authors: R
authors: Rakkiyappan
authors: Department of Mathematics, Bharathiar University, Coimbatore - 641 046, Tamilnadu, India.
authors: N
authors: N
authors: Sakthivel
authors: Department of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing 210096, Jiangsu, China; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia. Electronic address: jdcao@seu.edu.cn.
authors: Jinde
authors: J
authors: Cao
mesh_terms: D000465:Algorithms; D016571:Neural Networks, Computer; D013269:Stochastic Processes; D013997:Time Factors
keywords: Additive time-varying delays; Complex dynamical networks; Control packet loss; Reciprocally convex approach; Stochastic sampled-data