An extension of LaSalle's invariance principle for switched systems
نویسندگان
چکیده
منابع مشابه
An extension of LaSalle's invariance principle for switched systems
This paper addresses invariance principles for a certain class of switched nonlinear systems. We provide an extension of LaSalle’s Invariance Principle for these systems and state asymptotic stability criteria. We also present some related results that deal with the compactness of the trajectories of these switched systems and that are interesting by their own.
متن کاملAn invariance principle for nonlinear switched systems
In this paper we address the problem of extending La Salle Invariance Principle to switched system. We prove an extension of the invariance principle relative to dwell-time switched solutions, and a second one relative to constrained switched systems.
متن کاملNonlinear observability and an invariance principle for switched systems
This paper proposes several definitions of observability for nonlinear systems and explores relationships between them. These observability properties involve the existence of a bound on the norm of the state in terms of the norm of the output on a small time interval. As an application, we prove a LaSalle-like stability theorem for switched nonlinear systems.
متن کاملExtensions of LaSalle’s Invariance Principle for Switched Nonlinear Systems ⋆
In this paper the extension of LaSalle’s Invariance Principle for switched nonlinear systems is studied. Unlike most existing results in which each switching mode in the system needs to be asymptotically stable, in this paper we allow the switching modes to be only stable. Under certain ergodicity assumptions of the switching signals, two extensions of LaSalle’s Invariance Principle for global ...
متن کاملExtending LaSalle’s Invariance Principle to Switched Linear Systems
In this paper we extend LaSalle’s Invariance Principle to certain classes of switched linear systems. In particular we illustrated how to prove asymptotic stability using multiple Lyapunov functions whose Lie derivatives are only negative semi-definite.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2006
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2005.07.009