Impulsive containment control in networked harmonic oscillators

In this paper, impulsive containment control problem for networked harmonic oscillators is investigated with multiple leaders under directed network topology. Based on the graphic theory, matrix analysis theory and impulsive differential equation stable theory, a distributed impulsive containment control law is proposed, and the sufficient conditions which guarantee the convergence of the proposed control law are also addressed. Finally, the theoretical results are illustrated by numerical simulations.