Finite-time stability of nonlinear fractional systems with damping behavior

G. Arthi; N. Brindha

doi:10.26637/MJM0804/0136

Abstract

This paper concentrates with the problem of stability in the finite range of time for nonlinear system with multi term fractional-order and damping behavior. Utilizing the Mittag Leffler functions and generalized Gronwall inequality (GI), a sufficient criteria that ensure the finite time stability (FTS) for both condition \(0<\alpha_1-\alpha_2<1\) and \(1 \leq \alpha_1-\alpha_2<2\). Finally, two numerical examples are carried out to verify the obtained results.

Keywords:

Finite-time stability, Damped system

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

G. Arthi Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore-641004, Tamil Nadu, India
N. Brindha Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore-641004, Tamil Nadu, India

Pages: 2122-2126
Date Published: 01-10-2020
Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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