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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...
This paper provides a simple approach for group consensus of networked gyroscopes systems from the analytical dynamics point of view. By using the Udwadia-Kalaba fundamental equation theory, a novel robust group control law is presented and a sufficient condition which ensure achieving group consensus of non-identical gyroscopes networks is given in this paper. Finally, numerical simulations conducted...
In this paper we propose a distributed protocol for synchronization of directed coupled harmonic oscillators with local instantaneous interaction. We provide convergence analysis for such protocol over fixed and switching directed network topologies, respectively. It is shown that directed coupled harmonic oscillators can synchronize when coupling strengthen is less than a given threshold value and...
In this brief, a distributed impulsive algorithm for second-order multi-agent systems with a group reference velocity and input time delays is proposed. A distinctive feature of the algorithm is to address second-order consensus problems with local instantaneous interaction, where each agent can only exchange the information with its neighbors at a series of discrete-time instants and follow a desired...
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