Global Solution Existence and Eventual Stability for Nonlinear Systems with Impulses.

Atsu J. U.; Ante J. E.; Ambrose U. U.; Essang S. O.; Aigberemhon E. M.; Oyong S. B.; Francis R. E.

doi:10.52589/AJMSS-USLHJ4TC

Loading...

Global Solution Existence and Eventual Stability for Nonlinear Systems with Impulses.

;
;
;
;
;
;

Publication Date: 2025-07-02

DOI: 10.52589/AJMSS-USLHJ4TC

Volume/Issue: Volume 8, Issue 2 (2025)

Page No: 129 - 140

Journal: African Journal of Mathematics and Statistics Studies

Share Link

𝕏

Cite this

Citation unavailable for this article.

Abstract:

In this paper, the existence of maximal solution of a comparison differential system for a class of piecewise continuous Lyapunov function is examined. Also, the eventual stability of nonlinear impulsive differential equations with fixed moments of impulse is examined using the vector Lyapunov functions, which is generalized by a class of piecewise continuous Lyapunov functions. The novelty in the use of the vector Lyapunov functions lies in the fact that the difficulty often encountered by the scalar Lyapunov function is allayed especially for large scale dynamical systems. Together with comparison results, sufficient conditions for eventual stability are presented.

Keywords:Eventual stability; impulsive differential equation; Lyapunov functions.

Downloads: 153

Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.

Loading…

Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.