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 …

Ulam–Hyers–Mittag-Leffler stability for ψ-Hilfer fractional-order delay differential equations

K Liu, JR Wang, D O'Regan - Advances in Difference Equations, 2019 - Springer
In this paper, we present results on the existence, uniqueness, and Ulam–Hyers–Mittag-
Leffler stability of solutions to a class of ψ-Hilfer fractional-order delay differential equations …

Bipartite containment control of fractional multi-agent systems with input delay on switching signed directed networks

R Yang, S Liu, X Li, J Xiao - ISA transactions, 2023 - Elsevier
The bipartite containment control of nonlinear fractional multi-agent systems (FMASs) on
fixed and switching signed directed networks is addressed in this article. Delayed control …

Observer-based bipartite containment control of fractional multi-agent systems with mixed delays

R Yang, S Liu, X Li - Information Sciences, 2023 - Elsevier
This paper is concerned with observer-based bipartite containment control of nonlinear
fractional multi-agent systems (FMASs) with distributed and input delays. First, a follower …

Hyers–Ulam stability and existence of solutions for fractional differential equations with Mittag–Leffler kernel

K Liu, JR Wang, Y Zhou, D O'Regan - Chaos, Solitons & Fractals, 2020 - Elsevier
In this paper, the Hyers–Ulam stability of linear Caputo–Fabrizio fractional differential
equations with Mittag–Leffler kernel is studied using the Laplace transform method (via the …

Hyers–Ulam stability of a coupled system of fractional differential equations of Hilfer–Hadamard type

M Ahmad, A Zada, J Alzabut - Demonstratio Mathematica, 2019 - degruyter.com
In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer–
Hadamard type fractional differential system are obtained by using Kransnoselskii's fixed …

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 …

Hyers–Ulam stability and existence of solutions for differential equations with Caputo–Fabrizio fractional derivative

K Liu, M Fečkan, D O'Regan, JR Wang - Mathematics, 2019 - mdpi.com
In this paper, the Hyers–Ulam stability of linear Caputo–Fabrizio fractional differential
equation is established using the Laplace transform method. We also derive a generalized …

Consensus tracking via quantized iterative learning control for singular nonlinear multi-agent systems with state time-delay and initial state error

X Zhou, H Wang, Y Tian, X Dai - Nonlinear Dynamics, 2021 - Springer
This paper investigates the quantized iterative learning consensus tracking problem for
singular nonlinear multi-agent systems (MASs) in the presence of state time-delay and initial …

Iterative learning control for locally Lipschitz nonlinear fractional-order multi-agent systems

D Luo, JR Wang, D Shen - Journal of the Franklin Institute, 2020 - Elsevier
In this paper, we design P-type and PI β-type iterative learning control update laws to deal
with the consensus tacking problem for nonlinear fractional-order multi-agent systems with …