Secure H∞ bipartite synchronisation of jumping cooperation-competition networks subject to cyber-attacks
Liangyao Shi, Lei Su, Hao Shen · Journal of Control and Decision · 2025
In this article, the issue of secure H∞ bipartite synchronisation is investigated for a class of cooperation-competition networks. Firstly, to model scenarios involving changes in network topology, a cooperation-competition network model is developed that incorporates topology switching, where the switching process follows the rules of a semi-Markov jump process. Next, recognising the simultaneous presence of both cooperative and competitive relationships in the networks, a secure bipartite synchronisation control strategy is proposed to tackle the control challenges posed by denial-of-service attacks. Additionally, the Lyapunov-based sufficient conditions are derived to ensure the stochastic stability and H∞ performance of the resulting closed-loop bipartite synchronisation errors system. The secure synchronisation problem is also briefly explored when the cooperation-competition networks are transformed into simpler network structures. Finally, two numerical simulations are provided to validate the feasibility of the designed controller.