Finite-time synchronization for complex dynamic networks with semi-Markov switching topologies: An H∞ event-triggered control scheme

• Published in: Applied mathematics and computation Vol. 356; pp. 235 - 251
• Main Authors: Wang, Jing, Ru, Tingting, Xia, Jianwei, Wei, Yunliang, Wang, Zhen
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.09.2019
• Subjects: Complex dynamic networks; Event-triggered scheme; Finite-time H∞ synchronization control; Semi-Markov jump topology; Finite-time H∞ synchronization control; Complex dynamic networks; Semi-Markov jump topology; Event-triggered scheme
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2019.03.037

For complex dynamic networks subject to switching topologies, an H∞ event-triggered control scheme is developed to deal with the finite-time synchronization problem. A semi-Markov process is employed to govern the switching of the networks topologies. The purpose focuses on designing a controller via the event-triggered scheme, which guarantees that the resulting error networks are finite-time bounded with a prescribed level of the H∞ performance. By utilizing the stochastic analysis theory and finite-time synchronization concept, some sufficient conditions are deduced to determine whether the desired controller will exist or not for the complex dynamic networks. Eventually, an illustrated example is proposed to explain the validity and practicability of this method.