Journal ArticleDOI
Existence and global exponential stability of periodic solutions for feedback control complex dynamical networks with time-varying delays
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TLDR
In this article, the existence and global exponential stability of periodic solutions for feedback control complex dynamical networks with time-varying delays (FCCDND) were investigated.Abstract:
This paper focuses on the existence and global exponential stability of periodic solutions for feedback control complex dynamical networks with time-varying delays (FCCDND). Combining the continuation theorem of coincidence degree theory, a combinatorial identity about Kirchhoff’s matrix tree theorem in graph theory, and Lyapunov method, a novel method is established to investigate the existence and global exponential stability of periodic solutions for FCCDND. Finally, the effectiveness and practicability of our results are illustrated by a numerical example and its simulation.read more
Citations
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Journal ArticleDOI
Fundamental Properties of Nonlinear Stochastic Differential Equations
TL;DR: In this paper , the authors investigated the fundamental properties of nonlinear stochastic differential equations via the Khasminskii test, including the local existence and global existence of the solutions.
Journal ArticleDOI
Stabilization of multi-link delayed neutral-type complex networks with jump diffusion via aperiodically intermittent control
TL;DR: In this article , an improved Lyapunov function is established to conquer the stabilization problem of MNCNJDs, and sufficient conditions are developed to ensure the stability of the multi-link neutral-type complex networks under aperiodically intermittent control.
Journal ArticleDOI
Almost periodic solutions of a discrete Lotka-Volterra model via exponential dichotomy theory
TL;DR: In this paper , the existence of positive almost periodic solutions for the difference equations in a discrete non-autonomous Lotka-Volterra model was proved under some assumptions, and a Lyapunov function was constructed to prove the exponential convergence.
References
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Book
Coincidence degree and nonlinear differential equations
Robert E. Gaines,Jean Mawhin +1 more
TL;DR: In this article, a generalized continuation theorem and existence theorems for Lx = Nx are given for perturbations of linear Fredholm mappings of nonzero index.
Journal ArticleDOI
Global-stability problem for coupled systems of differential equations on networks
Michael Y. Li,Zhisheng Shuai +1 more
TL;DR: In this paper, a systematic approach that allows one to construct global Lyapunov functions for large-scale coupled systems from building blocks of individual vertex systems is presented. But the approach is applied to several classes of coupled systems in engineering, ecology and epidemiology, and is shown to improve existing results.
Journal ArticleDOI
Fixed-time synchronization of delayed memristor-based recurrent neural networks
Jinde Cao,Ruoxia Li +1 more
TL;DR: This paper focuses on the fixed-time synchronization control methodology for a class of delayed memristor-based recurrent neural networks, based on Lyapunov functionals, analytical techniques, and together with novel control algorithms that can be adjusted to desired values regardless of the initial conditions.
Journal ArticleDOI
Seasonality of infectious diseases and severe acute respiratory syndrome–what we don't know can hurt us
Scott F. Dowell,Mei-Shang Ho +1 more
TL;DR: Because SARS coronavirus RNA can be detected in the stool of some individuals for at least 9 weeks, recurrence of SARS from persistently shedding human or animal reservoirs is biologically plausible.
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Almost Periodicity in Impulsive Fractional-Order Reaction–Diffusion Neural Networks With Time-Varying Delays
TL;DR: A neural-network model of fractional order with impulsive perturbations, time-varying delays, and reaction–diffusion terms is investigated, investigating qualitative properties of the states and developing new almost periodicity and stability criteria.
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