Uniform weak attractivity and criteria for practical global asymptotic stability
نویسندگان
چکیده
منابع مشابه
Uniform weak attractivity and criteria for practical global asymptotic stability
A subset A of the state space is called uniformly globally weakly attractive if for any neighborhood S of A and any bounded subset B there is a uniform finite time τ so that any trajectory starting in B intersects S within the time not larger than τ . We show that practical uniform global asymptotic stability (pUGAS) is equivalent to the existence of a bounded uniformly globally weakly attracti...
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 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 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 کاملOn the practical global uniform asymptotic stability of stochastic differential equations
The method of Lyapunov functions is one of the most effective ones for the investigation of stability of dynamical systems, in particular, of stochastic differential systems. The main purpose of the paper is the analysis of the stability of stochastic differential equations by using Lyapunov functions when the origin is not necessarily an equilibrium point. The global uniform boundedness and th...
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: 2017
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2017.05.005