Some results on finite-time stability of stochastic fractional-order delay differential equations

D Luo, M Tian, Q Zhu - Chaos, Solitons & Fractals, 2022 - Elsevier
Finite-time stability of stochastic fractional-order delay differential equations is researched
here. Firstly, we derive the equivalent form of the considered system by using the Laplace …

Finite-time stability of fractional-order fuzzy cellular neural networks with time delays

F Du, JG Lu - Fuzzy Sets and Systems, 2022 - Elsevier
The finite-time stability of fractional-order fuzzy cellular neural networks with time delays is
investigated. One of the difficulties in stability analysis of fractional-order delayed systems …

New criterion for finite-time synchronization of fractional order memristor-based neural networks with time delay

F Du, JG Lu - Applied Mathematics and Computation, 2021 - Elsevier
A new fractional order Gronwall inequality with time delay is developed in this paper. Based
on this inequality, a new criterion for finite-time synchronization of fractional order memristor …

Finite-time stability of delayed memristor-based fractional-order neural networks

C Chen, S Zhu, Y Wei - IEEE transactions on cybernetics, 2018 - ieeexplore.ieee.org
This paper studies one type of delayed memristor-based fractional-order neural networks
(MFNNs) on the finite-time stability problem. By using the method of iteration, contracting …

Finite-time stability of neutral fractional order time delay systems with Lipschitz nonlinearities

F Du, JG Lu - Applied Mathematics and Computation, 2020 - Elsevier
This paper is concerned with finite-time stability of neutral fractional order time delay
systems with Lipschitz nonlinearities. By use of the method of steps and the generalized …

New criteria on finite-time stability of fractional-order Hopfield neural networks with time delays

F Du, JG Lu - IEEE Transactions on Neural Networks and …, 2020 - ieeexplore.ieee.org
In this article, the finite-time stability (FTS) of fractional-order Hopfield neural networks with
time delays (FHNNTDs) is studied. A widely used inequality in investigating the stability of …

Nonlinear fractional-order circuits and systems: Motivation, a brief overview, and some future directions

MS Tavazoei, M Tavakoli-Kakhki… - IEEE Open Journal of …, 2020 - ieeexplore.ieee.org
In recent years, fractional-order differential operators, and the dynamic models constructed
based on these generalized operators have been widely considered in design and practical …

Stability analysis of fractional delayed equations and its applications on consensus of multi-agent systems

S Liu, R Yang, XF Zhou, W Jiang, X Li… - … in Nonlinear Science and …, 2019 - Elsevier
This article considers stability of fractional delayed equations and its applications on
consensus of multi-agent systems. A modified fractional Razumikhin theorem is presented …

[HTML][HTML] New criterion for finite-time stability of fractional delay systems

F Du, JG Lu - Applied Mathematics Letters, 2020 - Elsevier
In this paper, a new fractional Gronwall inequality with time delay is developed. Based on
this inequality, a new criterion for finite-time stability of fractional delay systems is derived …

Finite time stability and relative controllability of Riemann‐Liouville fractional delay differential equations

M Li, JR Wang - Mathematical Methods in the Applied Sciences, 2019 - Wiley Online Library
This paper firstly deals with finite time stability (FTS) of Riemann‐Liouville fractional delay
differential equations via giving a series of properties of delayed matrix function of Mittag …