The stability of differential-difference systems with linearly increasing delay. II. Systems with additive right side

نویسندگان

چکیده

The article considers an uncontrolled system of differential-difference equations with a homogeneous additive right side and linearly increasing delay. Sufficient conditions for asymptotic stability are known number special cases such systems. Razumikhin's theorem on the systems proportional delay is formulated. obtained basing initial without constructing Lyapunov function.

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Stability Results for a Class of Difference Systems with Delay

Considering the linear delay difference system x n 1 ax n Bx n − k , where a ∈ 0, 1 , B is a p × p real matrix, and k is a positive integer, the stability domain of the null solution is completely characterized in terms of the eigenvalues of the matrix B. It is also shown that the stability domain becomes smaller as the delay increases. These results may be successfully applied in the stability...

متن کامل

A hybrid method with optimal stability properties for the numerical solution of stiff differential systems

In this paper, we consider the construction of a new class of numerical methods based on the backward differentiation formulas (BDFs) that be equipped by including two off--step points. We represent these methods from general linear methods (GLMs) point of view which provides an easy process to improve their stability properties and implementation in a variable stepsize mode. These superioritie...

متن کامل

On the averaging of differential inclusions with Fuzzy right hand side with the average of the right hand side is absent

In this article we consider the averaging method for differential inclusions with fuzzy right-hand side for the case when the limit of a method of an average does not exist. 

متن کامل

Stability of neutral delay-differential systems with nonlinear perturbations

In this paper, the problem of the stability analysis for neutral delay-di€ erential systems with nonlinear perturbations is investigated. Using the L yapunov method, we present new su cient conditions for the stability, in terms of the linear matrix inequality (LMI), which can be easily solved by various convex optimization algorithms. Numerical examples are given to illustrate the application...

متن کامل

a new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot

abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...

15 صفحه اول

ذخیره 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: ??????? ?????-?????????????? ????????????

سال: 2023

ISSN: ['1811-9905', '2542-2251']

DOI: https://doi.org/10.21638/11701/spbu10.2023.101