Prescribedtime decentralized regulation of uncertain nonlinear multiagent systems via output feedback Abstract   This paper addresses the global prescribedtime decentralized regulation problem for a family of uncertain nonlinear multiagent systems. The dynamics of each agent is supposed to be in the strict feedback form, where the uncertain nonlinearities admit Lipschitz growth conditions with an unknown positive constant gain multiplying by a timevarying continuous function gain. It is firstly defined error systems, which are composed of the leader and their followers, and shown that the prescribedtime decentralized regulation problem of the original systems is equivalent to the prescribedtime regulation problem of error systems. Then, by introducing a novel state transformation involving a timescaling function, the prescribedtime regulation problem is then converted into designing appropriate gain parameters. Finally, based on the Lyapunov stability theorem, the prescribedtime regulation of the closedloop systems is proved and the prescribedtime decentralized regulation of the original systems is thus guaranteed. An example is presented to show the feasibility of the proposed prescribedtime decentralized protocols.

Leaderfollowing consensus of linear timevarying multiagent systems under fixed and switching topologies Abstract   The leaderfollowing consensus problems for linear timevarying multiagent systems under fixed and switching topologies are considered. Several results are derived on the basis of Lyapunovxe2x80x99s direct method. For a network of linear timevarying agents with fixed topology, we provide two protocols, respectively. One of them uses global information of the communication topology. It guarantees the multiagent system to go to the leaderfollowing agreement with an arbitrarily given exponential rate. The other uses local information associated with each follower, and is implemented in a fully distributed fashion. It has robustness with respect to a certain degree of link failure. It is extended to a network of linear timevarying agents with switching topology. The resulting protocol guarantees the multiagent system to achieve the leaderfollowing consensus, if the union of switching graphs has a spanning tree rooted at the leader. It also has robustness with respect to a certain degree of link failure. Simulation examples are provided to validate the effectiveness of the results.