Lyapunov–Krasovskii Characterizations of Stability Notions for Switching Retarded Systems
نویسندگان
چکیده
In this article, we characterize the global asymptotic and exponential stability of nonlinear switching retarded systems through direct converse Lyapunov-Krasovskii theorems. Thanks to these theorems, a link between an unforced system input-to-state property is obtained. An example illustrating applicability our results given.
منابع مشابه
Discussions on: "Global Output Stability for Systems Described by Retarded Functional Differential Equations: Lyapunov Characterizations
Iasson Karafyllis , Pierdomenico Pepe and Zhong-Ping Jiang Department of Environmental Engineering, Technical University of Crete, 73100, Chania, Greece; Dipartimento di Ingegneria Elettrica e dell'Informazione, Università degli Studi dell'Aquila, Monteluco di Roio, 67040, L'Aquila, Italy; Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Six Metro...
متن کاملOn the Stability Properties of Spline Approximations for Retarded Systems
This paper studies the qualitative properties of the spline approximation scheme for retarded functional differential equations introduced by Kappel and Salamon [SIAM J. It is shown that the approximating systems are stable for large N if the underlying retarded functional differential equation is stable. In this case the approximating equations are in some sense uniformly (with respect to the ...
متن کاملAsymptotic Stability of Switching Systems
In this article, we study the uniform asymptotic stability of the switched system u′ = fν(t)(u), u ∈ Rn, where ν : R+ → {1, 2, . . . ,m} is an arbitrary piecewise constant function. We find criteria for the asymptotic stability of nonlinear systems. In particular, for slow and homogeneous systems, we prove that the asymptotic stability of each individual equation u′ = fp(u) (p ∈ {1, 2, . . . ,m...
متن کاملCharacterizations of input-to-state stability for infinite-dimensional systems
We prove characterizations of input-to-state stability (ISS) for a large class of infinite-dimensional control systems, including some classes of evolution equations over Banach spaces, time-delay systems, ordinary differential equations (ODE), switched systems. These characterizations generalize wellknown criteria of ISS, proved by Sontag and Wang for ODE systems. For the special case of diffe...
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 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: IEEE Transactions on Automatic Control
سال: 2021
ISSN: ['0018-9286', '1558-2523', '2334-3303']
DOI: https://doi.org/10.1109/tac.2020.2979754