Stability analysis of stochastic delayed complex networks with multi-weights based on Razumikhin technique and graph theory

C Zhang, BS Han - Physica A: Statistical Mechanics and Its Applications, 2020 - Elsevier
In this paper, a novel kind of stochastic delayed complex networks with multi-weights
(SDCNMW) is considered. We first split SDCNMW into multiple stochastic complex networks …

Global Mittag–Leffler stability of coupled system of fractional-order differential equations on network

HL Li, YL Jiang, Z Wang, L Zhang, Z Teng - Applied Mathematics and …, 2015 - Elsevier
This paper investigates the global Mittag–Leffler stability of coupled system of fractional-
order differential equations on network (CSFDEN). By using graph theory and the Lyapunov …

Stability of stochastic discrete-time piecewise homogeneous Markov jump systems with time delay and impulsive effects

P Wang, W Wang, H Su, J Feng - Nonlinear Analysis: Hybrid Systems, 2020 - Elsevier
This paper considers the stability of stochastic nonlinear discrete-time impulsive systems
with time delay and Markov jumps. The transition probabilities of Markov jumps are finite …

Graph-theoretic method on exponential synchronization of stochastic coupled networks with Markovian switching

C Zhang, W Li, K Wang - Nonlinear Analysis: Hybrid Systems, 2015 - Elsevier
In this paper, the issue of exponential synchronization for a class of stochastic coupled
networks with Markovian switching is investigated. Based on some results in graph theory …

Stability analysis of equilibrium point and limit cycle of two-dimensional nonlinear dynamical systems—a tutorial

B Wei - Applied Sciences, 2023 - mdpi.com
The equilibrium state of a dynamical system can be divided into the equilibrium point and
limit cycle. In this paper, the stability analysis of the equilibrium point and limit cycle of …

Graph theory-based approach for stability analysis of stochastic coupled systems with Lévy noise on networks

C Zhang, W Li, K Wang - IEEE Transactions on Neural …, 2014 - ieeexplore.ieee.org
In this paper, a novel class of stochastic coupled systems with Lévy noise on networks
(SCSLNNs) is presented. Both white noise and Lévy noise are considered in the networks …

Exponential stability of stochastic complex networks with multi-weights based on graph theory

C Zhang, T Chen - Physica A: Statistical Mechanics and its Applications, 2018 - Elsevier
In this paper, a novel approach to exponential stability of stochastic complex networks with
multi-weights is investigated by means of the graph-theoretical method. New sufficient …

GRAPH-THEORETIC APPROACH TO STABILITY OF MULTI-GROUP MODELS WITH DISPERSAL.

C Zhang, W Li, K Wang - Discrete & Continuous Dynamical …, 2015 - search.ebscohost.com
This paper is mainly concerned with the issue of stability for multi-group models with
dispersal (MGMD). A system on multi-digraph is used to model the MGMD. The popular …

Global stability problem for feedback control systems of impulsive fractional differential equations on networks

HL Li, YL Jiang, ZL Wang, C Hu - Neurocomputing, 2015 - Elsevier
This paper studies a novel class of feedback control systems of impulsive fractional
differential equations on networks (FCSIFDENs). By combining some graph theory and the …

Stochastic stability for pantograph multi-group models with dispersal and stochastic perturbation

Y Guo, X Ding, Y Li - Journal of the Franklin Institute, 2016 - Elsevier
This paper focuses on a novel model of pantograph multi-group models with dispersal and
stochastic perturbation. The effects of proportional delay, multiple dispersal among groups …