Stabilization of non-minimum phase switched nonlinear systems with application to multi-agent systems

This paper addresses the stabilization issue of a class of switched nonlinear systems where each mode may be non-minimum phase, and the states of linearized dynamics of all modes compose the whole state space. Time dependent and state dependent stabilization switching laws are provided by considering both common and multiple Lyapunov functions. The new results are applied to the aggregation problem of nonlinear multi-agent systems with designable switching connection topology. Finally, an aircraft team example illustrates the efficiency of the proposed approaches.