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

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

doi:10.26637/MJM0702/0015

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

Authors :

Pallvi Mahajan ^{1,2 *}, Sanjay Kumar Srivastava² and 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, an impulsive differential system is investigated for uniform eventual practical stability. Sufficient criteria have been obtained for the uniform eventual practical stability of the impulsive differential system in terms of two measures by using Lyapunov-like function. The results that are obtained to investigate the stability are significantly dependent on the impulse moments. The results have been verified with the help of an example.

Keywords :

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

DOI :

10.26637/MJM0702/0015

Article Info :

Received : January 29, 2019; Accepted : April 02, 2019.