Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(6): 1779-1790

https://doi.org/10.1007/s12555-022-0919-5

© The International Journal of Control, Automation, and Systems

Event-triggered Synchronization for Second-order Linear Systems in Complex Dynamical Network With Time-varying Topology

Li Yan and Hao Dai*

Taiyuan University of Technology

Abstract

In this paper, the event-triggered synchronization of second-order linear systems in complex dynamical networks (CDNs) with time-varying topology is addressed. In order to guarantee the CDNs under cooperatively directed spanning tree (CDST) topology can achieve exponential synchronization, an important synchronization condition is obtained with the help of graph theory, matrix inequalities and Lyapunov stability theory. In addition, by proving that all event-triggered intervals have a positive lower bound, the Zeno phenomenon is excluded, which avoids the infinite triggers. At last, a simulation example is presented to verify the availability of the obtained theoretical results.

Keywords Complex dynamical networks (CDNs), cooperatively directed spanning tree (CDST) topology, eventtriggered strategy, exponential synchronization, second-order linear systems.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(6): 1779-1790

Published online June 1, 2024 https://doi.org/10.1007/s12555-022-0919-5

Copyright © The International Journal of Control, Automation, and Systems.

Event-triggered Synchronization for Second-order Linear Systems in Complex Dynamical Network With Time-varying Topology

Li Yan and Hao Dai*

Taiyuan University of Technology

Abstract

In this paper, the event-triggered synchronization of second-order linear systems in complex dynamical networks (CDNs) with time-varying topology is addressed. In order to guarantee the CDNs under cooperatively directed spanning tree (CDST) topology can achieve exponential synchronization, an important synchronization condition is obtained with the help of graph theory, matrix inequalities and Lyapunov stability theory. In addition, by proving that all event-triggered intervals have a positive lower bound, the Zeno phenomenon is excluded, which avoids the infinite triggers. At last, a simulation example is presented to verify the availability of the obtained theoretical results.

Keywords: Complex dynamical networks (CDNs), cooperatively directed spanning tree (CDST) topology, eventtriggered strategy, exponential synchronization, second-order linear systems.

IJCAS
June 2024

Vol. 22, No. 6, pp. 1761~2054

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