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In this paper, an approach is proposed to design synchronization protocols for a network of second-order multi-agents. We prove a series of sufficient conditions for different asymptotic coordination dynamics including synchronization, consensus and stability. These conditions are rather general, which can include some existing results as corollaries. In addition, we can employ them to construct novel...
Recently, finite-time and fixed-time stability has been a hot topic in the study of dynamical systems. In this paper, we will provide an insightful view on this issue and explore the intrinsic property by mathematical analysis. Several theorems and corollaries show how to find the settling time. Moreover, we apply the corresponding theory on the finite-time and fixed-time synchronization problem of...
We study consensus in networks of multiagents with stochastically switching topologies, where the switching topologies are described as an adapted process, a rather general process including the independent and identically distributed (i.i.d.) process and the Markov process as special cases. First, motivated by some works done in the field of stochastic stability theory, we introduce a new concept...
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