A NOVEL FINITE TIME STABILITY ANALYSIS OF A CLASS NONLINEAR FRACTIONAL ORDER MULTI-STATE TIME DELAY SYSTEMS: A NEW GRONWALL – BELLMAN INEQUALITY APPROACH

In this contribution, the finite-time stability analysis (FTS) for a class of nonlinear two=term fractional-order multi-state time delay systems (FOTDS) is studied. Based on a new Gronwall-Bellman inequality, a new FTS stability criterion for such systems are established in term of the Mittag-Leffler function. Finally, we provide numerical example to illustrate the applicability of the proposed stability conditions.

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Publication Details

Published
2025-01-01
DOI
https://doi.org/10.46793/icssm25.366l
Primary Topic
Advanced Control Systems Design
Type
article
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article

A NOVEL FINITE TIME STABILITY ANALYSIS OF A CLASS NONLINEAR FRACTIONAL ORDER MULTI-STATE TIME DELAY SYSTEMS: A NEW GRONWALL – BELLMAN INEQUALITY APPROACH

Darko Radojević, Stjepko Pišl, Mihailo Lazarević
Advanced Control Systems Design
article

A NOVEL FINITE TIME STABILITY ANALYSIS OF A CLASS NONLINEAR FRACTIONAL ORDER MULTI-STATE TIME DELAY SYSTEMS: A NEW GRONWALL – BELLMAN INEQUALITY APPROACH

Darko Radojević, Stjepko Pišl, Mihailo Lazarević
article en

Abstract

In this contribution, the finite-time stability analysis (FTS) for a class of nonlinear two=term fractional-order multi-state time delay systems (FOTDS) is studied. Based on a new Gronwall-Bellman inequality, a new FTS stability criterion for such systems are established in term of the Mittag-Leffler function. Finally, we provide numerical example to illustrate the applicability of the proposed stability conditions.

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A NOVEL FINITE TIME STABILITY ANALYSIS OF A CLASS NONLINEAR FRACTIONAL ORDER MULTI-STATE TIME DELAY SYSTEMS: A NEW GRONWALL – BELLMAN INEQUALITY APPROACH — Darko Radojević, Stjepko Pišl, et al. · (2025) | TGRS Research Map | TGRS