Variable impulsive bipartite coordination control of nonlinear systems with DoS attacks

This paper studies the bipartite coordination of nonlinear systems under denial-of-service (DoS) attacks by using variable impulsive approach. Firstly, a novel variable impulsive control strategy is proposed, which eliminates the need for fixed impulsive instants and makes it more flexible in practical. Secondly, by using the theories of impulsive differential equation and comparative system, inequality conditions for realizing the bipartite coordination of nonlinear systems are derived. Thirdly, the variable impulsive strategy is extended to treat the adverse effect of DoS attacks, then the bipartite coordination of nonlinear systems with DoS attacks is ensured. Lastly, to prove the effectiveness of our main results, some simulation examples are considered by applying Chua’s circuit.