Minimum-energy synchronization for interconnected networks with non-periodical information silence

Abstract

Minimum-energy synchronization control for interconnected networks is addressed, where network topologies contain leaderless and leader-follower structures and information transmission of the whole network is non-periodically silent. The key characteristic of the current work is that the total energy consumption is minimum in the sense of the linear matrix inequality, while both the guaranteed-cost synchronization and the limited-budget synchronization cannot make the total energy consumption be minimum. Firstly, the leaderless minimum-energy synchronization achievement problem is transformed into the asymptotic stabilization problem by the state decoupling strategy, and sufficient conditions of leaderless minimum-energy synchronization are presented by the Lyapunov-based method. Especially, those conditions can be solved by the generalized eigenvalue approach on the basis of the linear matrix inequality. Then, main results of leaderless minimum-energy synchronization are expanded to leader-follower interconnected networks, where the key challenge is that these networks are nonsymmetrical. Finally, two numerical examples are illustrated to verify main results.