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

10th International Congress of the Serbian Society of Mechanics (18-20. 06. 2025, Niš) [pp. 366-373]

AUTHOR(S) / AUTOR(I): Mihailo P. Lazarević , Stjepko Pišl, Darko Radojević

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DOI: 10.46793/ICSSM25.366L

ABSTRACT / SAŽETAK:

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.

KEYWORDS / KLJUČNE REČI:

finite-time stability, fractional order, nonlinear, multi-state, time delay

ACKNOWLEDGEMENT / PROJEKAT:

This work is supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia under the Grant No. 451-03-137/2025-03/200105 from 04. 02. 2025.

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