Exponential Stability of Nonlinear Nonautonomous Multivariable Discrete Systems

ثبت نشده
چکیده

The basic method for the stability analysis of nonlinear time-discrete systems is the Lyapunov functions one, cf. [1,2]. By this method many very strong results are obtained, but finding Lyapunov’s functions is often connected with serious mathematical difficulties. Explicit stability stability conditions for nonlinear multivariable systems are established mainly in the case of autonomous linear parts, cf. [3-9].

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the shadowing property of nonautonomous discrete systems

In this paper we study shadowing property for sequences of mappings on compact metric spaces, i.e. nonautonomous discrete dynamical systems. We investigate the relation of  weak contractions with shadowing and h-shadowing property.

متن کامل

Stability of linear nonautonomous multivariable systems with differentiable matrices

We consider linear nonautonomous multivariable systems with differentiable matrices. Explicit stability conditions are derived. In the appropriate situations our results improve the traditional freezingmethod. © 2015 Elsevier B.V. All rights reserved.

متن کامل

Construction of strict Lyapunov function for nonlinear parameterised perturbed systems

In this paper, global uniform exponential stability of perturbed dynamical systems is studied by using Lyapunov techniques. The system presents a perturbation term which is bounded by an integrable function with the assumption that the nominal system is globally uniformly exponentially stable. Some examples in dimensional two are given to illustrate the applicability of the main results.

متن کامل

A new switching strategy for exponential stabilization of uncertain discrete-time switched linear systems in guaranteed cost control problem

Uncertain switched linear systems are known as an important class of control systems. Performance of these systems is affected by uncertainties and its stabilization is a main concern of recent studies. Existing work on stabilization of these systems only provides asymptotical stabilization via designing switching strategy and state-feedback controller. In this paper, a new switching strate...

متن کامل

On the Exponential Stability of Moving Horizon Observer for Globally N-Detectable Nonlinear Systems

A moving horizon observer is analyzed for nonlinear discrete-time systems. Exponential stability relies on a global detectability assumption that utilizes the concept of incremental input-to-state-stability.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2016