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Event-based Exponential Synchronization of Delayed Complex Dynamical Networks via Intermittent Control with Actuator Saturation

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  • Control Theory and Applications
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Abstract

This paper investigates the event-based aperiodically intermittent synchronization of complex dynamical networks subject to actuator saturation. The event-triggered condition is essentially a switching between the aperiodic controlling and event trigger. In this way, aperiodically intermittent control is more reasonable and applicable than traditional periodically intermittent control. Based on the event-triggered mechanism, several sufficient conditions that ensure the exponential synchronization of the complex dynamical networks are formulated by employing the generalized sector condition, Lyapunov-Krasovskii functionals, the properties of time-delay, and some linear matrix inequalities. Meanwhile, the optimization problem is presented so as to obtain a maximized estimate of the domain of attraction. Finally, two simulation examples are employed to demonstrate the validity and applicability of the criteria.

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Authors and Affiliations

  1. Department of Applied Mathematics, Harbin University of Science and Technology, Harbin, 150080, China

    Bolei Dong

  2. Department of Computer Science and Mathematics, Fujian University of Technology, Fuzhou, 350118, China

    Yujing Shi

Authors
  1. Bolei Dong
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  2. Yujing Shi
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Correspondence to Yujing Shi.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This work was jointly supported by Scientific Research Foundation for Introduced Talents, Fujian Province of China under Grant GY-Z21215 and GY-Z21216, the National Natural Science Foundation of China under Grant 12171124.

Bolei Dong received her M.S. degree from Harbin University of Science and Technology in 2021. Her research interests include synchronization of complex dynamical networks and nonlinear control.

Yujing Shi received her Ph.D. degree in control theory and control engineering from Northeastern University, China, in 2009. She has been an associate professor in the School of Computer Science and Mathematics, Fujian University of Technology (Fuzhou, China) since 2021. Her research interests include multi-agent systems, complex networks, and control theory.

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Dong, B., Shi, Y. Event-based Exponential Synchronization of Delayed Complex Dynamical Networks via Intermittent Control with Actuator Saturation. Int. J. Control Autom. Syst. 21, 775–787 (2023). https://doi.org/10.1007/s12555-021-0647-2

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  • DOI: https://doi.org/10.1007/s12555-021-0647-2

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