Controllability of Damped Second-Order Impulsive Neutral Functional Differential Systems with Infinite Delay

2011 ◽  
Vol 152 (3) ◽  
pp. 799-813 ◽  
Author(s):  
G. Arthi ◽  
K. Balachandran
Keyword(s):  
Infinite Delay ◽  
Second Order ◽  
Differential Systems ◽  
Functional Differential Systems ◽  
Functional Differential

scholarly journals Impulsive Exponential Stabilization of Functional Differential Systems with Infinite Delay

2009 ◽  
Vol 2009 ◽  
pp. 1-12
Author(s):  
Xiaoli Sun ◽  
Xiaodi Li
Keyword(s):  
Lyapunov Functions ◽  
Infinite Delay ◽  
Exponential Stabilization ◽  
Differential Systems ◽  
Unstable Systems ◽  
Razumikhin Technique ◽  
Numerical Example ◽  
Functional Differential Systems ◽  
Functional Differential

By using the Razumikhin technique and Lyapunov functions, we investigated the impulsive exponential stabilization of functional differential systems with infinite delay. A new result on the exponential stabilization by impulses is gained. Our result shows that impulses can make unstable systems stable. A numerical example is given to illustrate the feasibility of the result.

EXISTENCE AND CONTROLLABILITY RESULTS FOR INFINITE DELAY PARTIAL FUNCTIONAL DIFFERENTIAL SYSTEMS WITH MULTI-VALUED IMPULSES IN BANACH SPACES

2010 ◽  
Vol 03 (04) ◽  
pp. 631-646 ◽  
Author(s):  
Hanwen Ning ◽  
Bing Liu
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Point Theorem ◽  
Infinite Delay ◽  
Sufficient Conditions ◽  
Differential Systems ◽  
Functional Differential Systems ◽  
Functional Differential

This paper is concerned with the existence and controllability of solutions for infinite delay functional differential systems with multi-valued impulses in Banach space. Sufficient conditions for the existence are obtained by using a fixed point theorem for multi-valued maps due to Dhage. An example is also given to illustrate our results.

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