I -Eventual Stability of Differential Systems with Impulses

I -Eventual Stability of Differential Systems with Impulses

Article ID

V5PX6

I -Eventual Stability of Differential Systems with Impulses

Anju Sood Punjab Technical University, Kapurthala(Punjab)-INDIA

Sanjay K Srivastava

DOI

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Abstract

In our paper, we have established criterion of Ψ-Eventual Stability for impulsive differential systems with variable moments of impulses by using piecewise continuous auxiliary functions which are analogous to Lyapunov’s functions. The work of Bainov, Kulev and Soliman has been extended. An example has been given to support the theoretical result. In the example, the zero solution is not stable in the sense of Lyapunov but it is uniformly eventually stable. Moreover a weight function Ψ is also associated with state vectors.

I -Eventual Stability of Differential Systems with Impulses

Authors

Anju Sood Punjab Technical University, Kapurthala(Punjab)-INDIA

Sanjay K Srivastava

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How to Cite

Anju Sood. 2014. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F6): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

GJSFR Volume 14 Issue F6
Pg. 1- 8

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Submission Received August 11, 2014
Accepted September 6, 2014
Published September 20, 2014

Keywords

impulsive differential systems lyapunov’s function Ψ -eventual stability Ψ -uniform eventual stability

Article Matrices

Total Score: 102

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Anju Sood, Sanjay K Srivastava (PhD/Dr. count: 0)

View Count (all-time): 98

Total Views (Real + Logic): 4344

Total Downloads (simulated): 2261

Publish Date: 2014 10, Wed

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Total Views: 4344

Total Downloads: 2261

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