On stability of switched homogeneous systems

Abstract

In this paper, the robustness of a class of homo-geneous systems is investigated, in which a relation among the high-order term, the converging rate and the stability region of the system is explicitly established. Such a new observation facilitates to establish several robust stabilization conditions for switched homogeneous systems with high-order terms. Several stability regions related to exponential, finite-time and rational stability properties of the switched system are provided.