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Stability of General Dynamical Systems

by Mahadevaswamy B.S.
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 184 - Number 44
Year of Publication: 2023
Authors: Mahadevaswamy B.S.
10.5120/ijca2023922552

Mahadevaswamy B.S. . Stability of General Dynamical Systems. International Journal of Computer Applications. 184, 44 ( Jan 2023), 1-17. DOI=10.5120/ijca2023922552

@article{ 10.5120/ijca2023922552,
author = { Mahadevaswamy B.S. },
title = { Stability of General Dynamical Systems },
journal = { International Journal of Computer Applications },
issue_date = { Jan 2023 },
volume = { 184 },
number = { 44 },
month = { Jan },
year = { 2023 },
issn = { 0975-8887 },
pages = { 1-17 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume184/number44/32602-2023922552/ },
doi = { 10.5120/ijca2023922552 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:23:57.502153+05:30
%A Mahadevaswamy B.S.
%T Stability of General Dynamical Systems
%J International Journal of Computer Applications
%@ 0975-8887
%V 184
%N 44
%P 1-17
%D 2023
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper comparison techniques are used to obtain sufficient condition for stability of an invariant set. Here sufficient conditions involving the stability of scalar differential equations and converse theorems for a reversible dynamical system proved and Two converse theorems for existence of a vector Lyapunov function in reversible dynamical system are proved. Concept of conditional invariancy is introduced. Sufficient condition for stability of conditional invariant are proved. Here introduced notion of conditional stability of a compact set.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Lyapunov function Equistrict stability Equistrict asymtotic stable Reversible Dynamical System

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