A Generalized Nonuniform Contraction and Lyapunov Function
نویسندگان
چکیده
منابع مشابه
Nonuniform power instability and Lyapunov sequences
The aim of this paper is to present necessary and sufficient conditions for nonuniform power instability property of linear discrete-time systems in Banach spaces. A characterization of the nonuniform power instability in terms of Lyapunov sequences is also given.
متن کاملGeneralized Lyapunov Function for Stability Analysis of Uncertain Systems
An alternative approach for stability analysis of uncertain systems modelled in statespace is suggested. A new candidate for Lyapunov function and based on it stability condition which generalize most of the available results in the field are presented. The applicability of this approach is illustrated by an example, treated many times by different approaches. Copyright 2005 IFAC
متن کاملCoupled fixed points of generalized Kanann contraction and its applications
The purpose of this paper is to find of the theoretical results of fixed point theorems for a mixed monotone mapping in a metric space endowed with partially order by using the generalized Kanann type contractivity of assumption. Also, as an application, we prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic bou...
متن کاملA note on norm-based Lyapunov functions via contraction analysis
It is well know that for globally contractive autonomous systems, there exists a unique equilibrium and the distance to the equilibrium evaluated along any trajectory decreases exponentially with time. We show that, additionally, the magnitude of the velocity evaluated along any trajectory decreases exponentially, thus giving an alternative choice of Lyapunov function. 1 Main Result Consider 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: Abstract and Applied Analysis
سال: 2012
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2012/613038