Improved Passive Synchronization for Complex Dynamical Networks with Randomly Occurring Distributed Coupling Time-Varying Delays via State Feedback Control

Authors

  • R. Sugumar PG and Research Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, 635601, Tamil Nadu, India
  • D. Ajay PG and Research Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, 635601, Tamil Nadu, India

DOI:

https://doi.org/10.37256/cm.6220256315

Keywords:

complex networks, Chen-Lee systems, Lorenz-Stenflo systems, Liu-Chen systems, Active control, Synchronization, randomly occurring coupling delays, passivity, linear matrix inequality

Abstract

The improved synchronization of complex dynamical networks under passivity performance is the main topic of this paper. To distinguish between simple and complex dynamics in real-world scenarios, the effect of randomly occurring time-varying delays is specifically considered. The study is based on the development of a feedback controller and a Lyapunov-Krasovskii functional (LKF) with novel integral terms. Finally, a useful example is provided to illustrate the effectiveness of the proposed approach.

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Published

2025-04-01

How to Cite

1.
Sugumar R, Ajay D. Improved Passive Synchronization for Complex Dynamical Networks with Randomly Occurring Distributed Coupling Time-Varying Delays via State Feedback Control. Contemp. Math. [Internet]. 2025 Apr. 1 [cited 2025 Apr. 6];6(2):2159-71. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/6315