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

TTH Nguyen, NT Nguyen, MN Tran - Journal of Mathematical Analysis and …, 2023 - Elsevier
In this paper, we investigate the robust finite time stability of fractional order systems with
time varying delay and nonlinear perturbation. We improve the sufficient condition for …

A qualitative theory of time delay nonlinear fractional-order systems

HT Tuan, H Trinh - SIAM Journal on Control and Optimization, 2020 - SIAM
This paper analyses fractional-order systems with time-varying delays. First, we present
some results on the existence, uniqueness, exponential boundedness, and convergence …

Stability analysis of fractional differential equations with the short-term memory property

X Hai, Y Yu, C Xu, G Ren - Fractional Calculus and Applied Analysis, 2022 - Springer
The commonly defined fractional derivatives, like Riemann-Liouville and Caputo ones, are
non-local operators which have the long-term memory characteristic, since they are in …

Numerical stability of Grünwald–Letnikov method for time fractional delay differential equations

L Li, D Wang - BIT Numerical Mathematics, 2022 - Springer
This paper is concerned with the numerical stability of time fractional delay differential
equations (F-DDEs) based on Grünwald–Letnikov (GL) approximation for the Caputo …

New finite-time stability analysis of singular fractional differential equations with time-varying delay

NT Thanh, VN Phat, P Niamsup - Fractional Calculus and Applied …, 2020 - degruyter.com
The Lyapunov function method is a powerful tool to stability analysis of functional differential
equations. However, this method is not effectively applied for fractional differential equations …

Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems

K Diethelm, HD Thai, HT Tuan - Fractional Calculus and Applied Analysis, 2022 - Springer
This paper is devoted to studying non-commensurate fractional order planar systems. Our
contributions are to derive sufficient conditions for the global attractivity of non-trivial …

An improved fractional Halanay inequality with distributed delays

N Thi Thu Huong, N Nhu Thang… - … Methods in the Applied …, 2023 - Wiley Online Library
In this paper, we establish global fractional Halanay‐type inequalities with distributed delays
in differential and integral forms and consequently give a simple sufficient condition for …

Finite-time stability of multiterm fractional nonlinear systems with multistate time delay

G Arthi, N Brindha, YK Ma - Advances in Difference Equations, 2021 - Springer
This work is mainly concentrated on finite-time stability of multiterm fractional system for 0< α
2≤ 1< α 1≤ 2 0<α_2≦1<α_1≦2 with multistate time delay. Considering the Caputo …

[Retracted] Nonlinear Control Method of Superconducting Energy Storage considering Voltage Imbalance in Distribution Network

T **n, F Li - Security and Communication Networks, 2022 - Wiley Online Library
A new nonlinear control approach of superconducting energy storage is devised under the
condition of addressing the voltage imbalance of the distribution network in order to obtain …

State estimate intervals for a class of fractional-order interconnected systems

DC Huong, DTH Yen - Discrete and Continuous Dynamical …, 2024 - aimsciences.org
This paper addresses the problem of designing estimate intervals for linear functions of state
vectors of each subsystem of fractional-order timevarying interconnected systems subject to …