☆ 4.7 Article

Stability of conformable fractional delay differential systems with impulses

APPLIED MATHEMATICS LETTERS (2024)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Mathematics, Applied

Global fractional Halanay inequalities approach to finite-time stability of nonlinear fractional order delay systems

Thi Thu Huong Nguyen et al.

Summary: In this paper, the robust finite time stability of fractional order systems with time varying delay and nonlinear perturbation is investigated. The sufficient condition for general fractional delay systems is improved by utilizing the special structure of a singular Gronwall inequality. For stable fractional delay systems, the approach is based on a global Halanay type inequality in differential and integral forms. A sharper delay dependent sufficient condition for robust finite time stability of such systems is formulated in terms of the Mittag-Leffler functions and the delayed size. The connection between the new sufficient condition and the previous results is compared and discussed thoroughly.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2023)

添加到收藏夹

Article Mathematics, Applied

Robust stability and boundedness of uncertain conformable fractional-order delay systems under input saturation

Danhua He et al.

Summary: This article discusses a class of uncertain conformable fractional-order delay systems under input saturation. By establishing the Lyapunov boundedness theorem for such systems, sufficient conditions for robust stability and boundedness are derived. Examples are provided to illustrate the obtained theory.

AIMS MATHEMATICS (2023)

添加到收藏夹

Article Computer Science, Interdisciplinary Applications

Quasi-synchronization analysis for fractional-order delayed complex dynamical networks

Liguang Xu et al.

Summary: This paper investigates global exponential quasi-synchronization for fractional-order delayed dynamical networks with periodically intermittent pinning control. New fractional-order delayed differential inequalities are presented, and sufficient conditions for achieving global exponential quasi-synchronization are derived using the Lyapunov method and periodically intermittent pinning controller. Numerical simulations are provided to confirm the theoretical results.

MATHEMATICS AND COMPUTERS IN SIMULATION (2021)

添加到收藏夹

Article Mathematics, Applied

Exponential ultimate boundedness of non-autonomous fractional differential systems with time delay and impulses

Liguang Xu et al.

APPLIED MATHEMATICS LETTERS (2020)

添加到收藏夹

Article Mathematics, Applied

New criterion for finite-time stability of fractional delay systems

Feifei Du et al.

APPLIED MATHEMATICS LETTERS (2020)

添加到收藏夹

Article Mathematics, Applied

On exact and discretized stability of a linear fractional delay differential equation

Jan Cermak et al.

APPLIED MATHEMATICS LETTERS (2020)

添加到收藏夹

Article Computer Science, Artificial Intelligence

New stability criterion of fractional-order impulsive coupled non-autonomous systems on networks

Hui Li et al.

NEUROCOMPUTING (2020)

添加到收藏夹

Article Mathematics, Interdisciplinary Applications

Exponential quasi-synchronization of conformable fractional-order complex dynamical networks

Xiaoyan Chu et al.

CHAOS SOLITONS & FRACTALS (2020)

添加到收藏夹

Article Mathematics

Stability analysis of conformable fractional-order nonlinear systems

Abdourazek Souahi et al.

INDAGATIONES MATHEMATICAE-NEW SERIES (2017)

添加到收藏夹

Article Automation & Control Systems

Impulsive stabilization of fractional differential systems

Liguang Xu et al.

ISA TRANSACTIONS (2017)

添加到收藏夹

Article Mathematics, Applied

Ultimate boundedness of impulsive fractional differential equations

Liguang Xu et al.

APPLIED MATHEMATICS LETTERS (2016)

添加到收藏夹

Article Mathematics, Applied

On approximate solutions of some delayed fractional differential equations

Janusz Brzdek et al.

APPLIED MATHEMATICS LETTERS (2016)

添加到收藏夹

Article Mathematics, Applied

A new definition of fractional derivative

R. Khalil et al.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2014)

添加到收藏夹

Article Mathematics, Applied

Existence and uniqueness of solutions for impulsive fractional differential equations

Mujeeb Ur Rehman et al.

APPLIED MATHEMATICS AND COMPUTATION (2013)

添加到收藏夹

Article Mathematics, Applied

Existence and uniqueness of mild solutions to impulsive fractional differential equations

Gisele M. Mophou

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2010)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.