Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays

I Stamova - Nonlinear Dynamics, 2014 - Springer
In this paper we consider a class of impulsive Caputo fractional-order cellular neural
networks with time-varying delays. Applying the fractional Lyapunov method and Mittag …

[KIRJA][B] Impulsive systems with delays

X Li, S Song - 2022 - Springer
Impulse phenomena arising in nature, engineering, physics, and social sciences lead to
mathematical models described by impulsive systems. The impulsive actions of the models …

[KIRJA][B] Functional and impulsive differential equations of fractional order: qualitative analysis and applications

I Stamova, G Stamov - 2017 - taylorfrancis.com
The book presents qualitative results for different classes of fractional equations, including
fractional functional differential equations, fractional impulsive differential equations, and …

Fractional impulsive differential equations: exact solutions, integral equations and short memory case

GC Wu, DQ Zeng, D Baleanu - Fractional Calculus and Applied …, 2019 - degruyter.com
Fractional impulsive differential equations are revisited first. Some fundamental solutions of
linear cases are given in this study. One straightforward technique without using integral …

Improved looped-functional approach for dwell-time-dependent stability analysis of impulsive systems

HB Zeng, WM Wang, W Wang, HQ **ao - Nonlinear Analysis: Hybrid …, 2024 - Elsevier
This paper studies the dwell-time-dependent stability analysis of impulsive systems by using
a new time-square-dependent looped-functional. Based on the Lyapunov theory and two …

Stability analysis of fractional-order complex-valued neural networks with time delays

R Rakkiyappan, G Velmurugan, J Cao - Chaos, Solitons & Fractals, 2015 - Elsevier
In this paper, we consider the problem of stability analysis of fractional-order complex-
valued Hopfield neural networks with time delays, which have been extensively …

Asymptotic stability of delayed fractional-order neural networks with impulsive effects

F Wang, Y Yang, M Hu - Neurocomputing, 2015 - Elsevier
This paper has investigated the existence, uniqueness and the global asymptotic stability of
equilibrium point for delayed fractional-order neural networks with impulsive effects. A …

An efficient and robust numerical solver for impulsive control of fractional chaotic systems

Z Moniri, BP Moghaddam… - Journal of Function …, 2023 - Wiley Online Library
This paper derives a computationally efficient and fast‐running solver for the approximate
solution of fractional differential equations with impulsive effects. In this connection, for …

Leader-following consensus of nonlinear fractional-order multi-agent systems via event-triggered control

F Wang, Y Yang - International Journal of Systems Science, 2017 - Taylor & Francis
This paper investigates the consensus problem of leader-following multi-agent systems with
fractional-order nonlinear dynamics. A typical event is defined as some error signals …

Some recent results of analysis and control for impulsive systems

Y Wang, J Lu - Communications in Nonlinear Science and Numerical …, 2020 - Elsevier
Since impulsive control has less conservation in the analysis of dynamical behaviors, a
surge of attention has been paid on the study of impulsive control systems. This paper is …