Non-uniform in time robust global asymptotic output stability
نویسندگان
چکیده
منابع مشابه
Non-uniform in time robust global asymptotic output stability
In this paper the notions of non-uniform in time robust global asymptotic output stability (RGAOS) and input-to-output stability (IOS) for discrete-time systems are studied. Characterizations as well as links between these notions are provided. Particularly, it is shown that a discrete-time system with continuous dynamics satisfies the non-uniform in time IOS property if and only if the corresp...
متن کاملNon-uniform robust global asymptotic stability for discrete-time systems and applications to numerical analysis
The notion of non-uniform Robust Global Asymptotic Stability (RGAS) presented in this paper generalizes the notion of non-uniform in time RGAS for finiteor infinite-dimensional discrete-time systems. Lyapunov characterizations for this stability notion are provided. The results are applied to finitedimensional discrete-time systems obtained by time discretization of continuous-time systems by t...
متن کاملUniform Global Practical Asymptotic Stability for Time-varying Cascaded Systems
This paper aims to give sufficient conditions for a cascade composed of nonlinear timevarying systems that are uniformly globally practically asymptotically stable (UGPAS) to be UGPAS. These conditions are expressed as relations between the Lyapunov function of the driven subsystem and the interconnection term. Our results generalise previous theorems that establish the uniform global asymptoti...
متن کاملUniform Asymptotic Stability and Global Asymptotic Stability for Time-Delay Hopfield Neural Networks
In this paper, we consider the uniform asymptotic stability and global asymptotic stability of the equilibrium point for time-delays Hopfield neural networks. Some new criteria of the system are derived by using the Lyapunov functional method and the linear matrix inequality approach for estimating the upper bound of the derivative of Lyapunov functional. Finally, we illustrate a numerical exam...
متن کاملUniform Global Asymptotic Stability of Differential Inclusions
Stability of differential inclusions defined by locally Lipschitz compact valued maps is addressed. It is shown that if such a differential inclusion is globally asymptotically stable, then in fact it is uniformly globally asymptotically stable (with respect to initial states in compacts). This statement is trivial for differential equations, but here we provide the extension to compact (not ne...
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: 2005
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2004.08.004