Stability of Delayed Systems Modeled by Fractional Models
M. De la Sen
TL;DR
This paper investigates the stability of nonlinear systems with delays using fractional models and linear matrix inequalities, providing a framework for analyzing complex delayed dynamics.
Contribution
It introduces a novel approach to assess global asymptotic stability of fractional delayed systems through linear matrix inequalities.
Findings
Established stability conditions for fractional delayed systems.
Provided a systematic method for stability analysis.
Enhanced understanding of delay effects in nonlinear fractional systems.
Abstract
The paper discusses linear fractional representations of parameter-dependent nonlinear systems with dynamics defined by real rational nonlinearities and a finite set of point delays. The global asymptotic stability is investigated via linear matrix inequalities.
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Taxonomy
TopicsStability and Control of Uncertain Systems · Advanced Differential Equations and Dynamical Systems · Fractional Differential Equations Solutions