scholarly journals A uniform asymptotic stability theorem for fading memory spaces

1991 ◽  
Vol 155 (1) ◽  
pp. 55-65 ◽  
Author(s):  
J.R Haddock ◽  
W.E Hornor
Keyword(s):  
Asymptotic Stability ◽  
Stability Theorem ◽  
Fading Memory ◽  
Uniform Asymptotic Stability ◽  
Fading Memory Spaces

scholarly journals The Lyapunov-Razumikhin theorem for the conformable fractional system with delay

2021 ◽  
Vol 7 (3) ◽  
pp. 4795-4802
Author(s):  
Narongrit Kaewbanjak ◽  
◽  
Watcharin Chartbupapan ◽  
Kamsing Nonlaopon ◽  
Kanit Mukdasai ◽  
...  
Keyword(s):  
Asymptotic Stability ◽  
Lyapunov Functional ◽  
Stability Theorem ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Uniform Asymptotic Stability ◽  
Razumikhin Theorem ◽  
System With Delay ◽  
Fractional System ◽  
Delay Dependent

<abstract><p>This paper explicates the Razumikhin-type uniform stability and a uniform asymptotic stability theorem for the conformable fractional system with delay. Based on a Razumikhin-Lyapunov functional and some inequalities, a delay-dependent asymptotic stability criterion is in the term of a linear matrix inequality (LMI) for the conformable fractional linear system with delay. Moreover, an application of our theorem is illustrated via a numerical example.</p></abstract>

NEW RAZUMIKHIN TYPE STABILITY THEOREM FOR IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS

2011 ◽  
Vol 09 (03) ◽  
pp. 315-327 ◽  
Author(s):  
JIAYU WANG ◽  
XIAODI LI
Keyword(s):  
Asymptotic Stability ◽  
Differential Equations ◽  
Lyapunov Functions ◽  
Functional Differential Equations ◽  
Stability Theorem ◽  
Uniform Asymptotic Stability ◽  
Razumikhin Technique ◽  
Infinite Delays ◽  
Functional Differential ◽  
The Stability

In this paper, the stability of impulsive functional differential equations with infinite delays are investigated. By using Lyapunov functions and the Razumikhin technique, a new theorem on the uniform asymptotic stability and global asymptotic stability for such differential equations is obtained. An example is given to illustrate the feasibility of the result.

Sign in / Sign up

Export Citation Format

Share Document