Conference Proceedings
An improved Matrosov theorem for hybrid time-varying systems: A behavior approach
TC Lee, Y Tan, D Nesic
ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings | IEEE | Published : 2011
Abstract
This paper concerns the stability of hybrid time-varying systems. A behavior approach is used to transfer the functional space on hybrid time domains into a functional space on continuous-time domains. Then a new stability criterion is derived for the transferred continuous-time functional space to derive a nested Matrosov theorem for hybrid time-varying systems. The proposed Matrosov theorem does not require that the equilibrium set is compact, which indicates an extension of current results in literature. The obtained results have also a potential to be used in stability analysis for other types of dynamic systems such as time-delay systems.