Nonlinear observability and an invariance principle for switched systems
نویسندگان
چکیده
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.
منابع مشابه
An 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 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 کاملAn 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 کاملNonlinear observability notions and stability of switched systems
This paper proposes several definitions of observability for nonlinear systems and explores relationships among them. These observability properties involve the existence of a bound on the norm of the state in terms of the norms of the output and the input on some time interval. A Lyapunov-like sufficient condition for observability is also obtained. As an application, we prove several variants...
متن کاملA new approach based on state conversion to stability analysis and control design of switched nonlinear cascade systems
In this paper, the problems of control and stabilization of switched nonlinear cascade systems is investigated. The so called simultaneous domination limitation (SDL) is introduced in previous works to assure the existence of a common quadratic Lyapunov function (CQLF) for switched nonlinear cascade systems. According to this idea, if all subsystems of a switched system satisfy the SDL, a CQLF ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002