Uniform practical stability of perturbed impulsive differential system in terms of two measures

Pallvi Mahajan 1,2 *, Sanjay Kumar Srivastava 2 and Rakesh Dogra 2

doi:10.26637/MJM0702/0003

Uniform practical stability of perturbed impulsive differential system in terms of two measures

Authors :

Pallvi Mahajan^{1,2 *}, Sanjay Kumar Srivastava ²and Rakesh Dogra ²

Author Address :

¹ Inder Kumar Gujral-Punjab Technical University, Kapurthala-144601, Punjab, India.
² Beant College of Engineering and Technology, Gurdaspur-143521, Punjab, India.

*Corresponding author.

Abstract :

In the present paper, a perturbed impulsive differential system is investigated for uniform practical stability. For the same, sufficient conditions have been obtained in terms of two measures by using Lyapunov-like function. An example has also been given to illustrate the derived results.

Keywords :

Perturbed Impulsive differential system, Practical Stability, Two Measures, Lyapunov function.

DOI :

10.26637/MJM0702/0003

Article Info :

Received : January 08, 2019; Accepted : February 15, 2019.