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This study investigates the stability problem for a class of discrete-time switched systems with stochastic or non-stochastic perturbations. Under the condition that the system matrix is weakly periodic and Hurwitz constrained, we firstly give stability analysis of the system with bounded or (exponentially) convergent perturbations. Then, for the system with perturbations containing stochastic noises,...
We consider the problem of information consensus in networked multiagent systems in the presence of switching topology and time delay. The stability analysis is performed based on algebraic graph theory and matrix theory. We overview existing convergence results, and propose some new ones for both continuous and discrete time consensus protocols.
This paper is concerned with rigid formations of mobile autonomous agents. For the problem of relative formation stabilization, Nyquist-like criterion for formation stabilization is used in literature, where spectral properties of the Laplacian matrix play a role in evaluating desirable structural properties of formations. Establishing measures of near-periodicity would be useful in quantifying formation...
This paper addresses the leader-follower consensus problem of multi-agent systems with a time-invariant communication topology consisting of general linear node dynamics. A distributed observer-type consensus protocol based on relative output measurements is proposed. It is shown that the leader-follower consensus of multi-agent systems can be cast equivalently into the stability of a set of matrices...
The paper studies the consensus protocol of the time invariant multi-agent continuous systems. Based on the direct graph Laplacian matrix theory and it's the second smallest eigenvalue of communication topology, we study the continuous-time integrator agents dynamics system. The issue of stability of the systems is analyzed and the convergence problem of the information states is also discussed. Two...
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