Open Access
Nonlinear Analysis: Modelling and Control, volume 30, issue 2, pages 196-211
New formulation of Lyapunov direct method for nonautonomous real-order systems
Bichitra Kumar Lenka
,
Publication type: Journal Article
Publication date: 2025-01-09
scimago Q2
SJR: 0.685
CiteScore: 3.8
Impact factor: 2.6
ISSN: 13925113, 23358963
Abstract
Lyapunov stability analysis of nonautonomous real-order systems is put forward here in the sense of Caputo in a new and different way. We introduce new theorems and inequalities that give stability of constant solutions in the domain of attraction to such systems when attached with random initial time placed on the real axis. We give some examples including an advanced nonlinear Lorenz system to illustrate the results.
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