Stability criteria of nonlinear generalized proportional fractional delayed systems

Autor:	Zitane, Hanaa, Torres, Delfim F. M.
Rok vydání:	2024
Předmět:	Mathematics - Optimization and Control Mathematics - Dynamical Systems 26A33 34A08 34A34 34D20 34K20
Druh dokumentu:	Working Paper
DOI:	10.1201/9781003530602-9
Popis:	This work deals with the finite time stability of generalized proportional fractional systems with time delay. First, based on the generalized proportional Gr\"onwall inequality, we derive an explicit criterion that enables the system trajectories to stay within a priori given sets during a pre-specified time interval, in terms of the Mittag-Leffler function. Then, we investigate the finite time stability of nonlinear nonhomogeneous delayed systems by means of an approach based on H\"older's and Jensen's inequalities. Numerical applications are presented to illustrate the validity and feasibility of the developed results. Comment: This is a preprint version of a paper whose final form is published in 'Mathematical Analysis: Theory and Applications'
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.12256 Zobrazit plný text záznamu View this record from Arxiv