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This work investigates the consensus problem of a group of nonlinear agents over a fast-switching network. The communications between agents are bidirectional and time delay exists. The topology, which specifies the communications, is assumed to be switched within a finite set of topologies, reflecting a practical fast-varying network environment. Based on the Lyapunov functional stability theory...
This paper considers the problem of distributed node-to-node consensus for general linear multi-agent systems with switched pinning links. The control goal in the present work is to make each follower track the corresponding leader asymptotically under the condition that only a small fraction of followers can sense their corresponding leaders through some switched communication channels. By using...
In this paper, we deal with the stabilization problem for a class of switched nonlinear systems in lower triangular form subject to constraints on the state. To prevent state from transgressing the constraints, we employ the ideal p-times differentiable unbounded functions, which grow to infinity when their arguments approach domain boundaries. Based on the backstepping technique, we propose a constructive...
This paper studies the exponential input-to-state stability (e-ISS) for hybrid dynamical networks (HDNs) consisting of flow and jumping subsystems. Concepts of input-to-state exponent (IS-E) and event-ISS are proposed. By using the IS-E estimates of subsystems and the method of multiple Lyapunov functions and M-matrix theory, the e-ISS including event-e-ISS criteria are established for HDNs. The small-gain...
This paper investigates the exponential synchronization problem of stochastic complex dynamical networks with impulsive perturbations and Markovian switching. The complex dynamical networks consists of κ modes and the networks switch from one mode to another according to a Markovian chain with known transition probability. Basing on the Lyapunov functional method and stochastic analysis, by employing...
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