Existence of Positive Periodic Solutions for the SIV Epidemic Model with Impulsive Vaccination and Infection-Age

In this paper, we discuss the SIV epidemic model with impulsive vaccination and infection-age. Bifurcation theory and Lyapunov-Schmidt series expansion are used to show the existence of the positive periodic solutions under some conditions.     

Robust Finite-Time Guaranteed Cost Control for Positive Systems with Multiple Time Delays

This paper deals with the finite-time guaranteed cost control problem for positive system with multiple time delays and bounded disturbance. By using Lyapunov-Krasovskii functional method,some new sufficient conditions for the design of a state feedback controller which makes the closedloop system finite-time stable and guarantees an adequate cost level of performance are derived. Two numerical examples are also given to show the effectiveness of the proposed method.     

Existence and Stability of Positive Periodic Solution of Delay Logistic Ecosystem with Feedback Control and Diffusion

1IntroductionWeconsiderthedelaylogisticecosystemwithfeedbackcontrolanddiffusionoftheformConcerningthestabilityproblemofpositivestead-stateforsystem(1.1),ithasbeendiscussedbyX.Shengli[1],whereastheasymptoticbehaviorofsolutionsofsystem(1.1)withoutdiffusionhasalsobeenconsideredbyK.Gopalsamy[2]andtheoscillationofsystem(1.1)withoutdiffusionandfeedbackcontrolcanbefoundinreference[3](K.GopalsamyandG.Ladas),Inreference[4],J.Dangpinghasgivedsufficientconditionsofexistenceandstabilityofperiodicsolut…     

EXISTENCE AND UNIQUENESS AND STABILITY OF SOLUTIONS FOR STOCHASTIC IMPULSIVE SYSTEMS

This paper studies the existence, uniqueness, and stability of solutions for stochastic impulsive systems. By employing Lyapunov-like functions, some sufficient conditions of the global existence, uniqueness, and stability of solutions for stochastic impulsive systems are established. Furthermore, the results are specialized to the case of linear stochastic impulsive systems. Finally, some examples are given to illustrate the applications of our theory.     

Oscillation of Positive Steady State for Lotka-Volterra Time-Delay Control System with Diffusion

The oscillation of positive steady state and asymptotic behaviour of nonoscillatouysolution for Lotka-Volterra time-delay control system with diffusion is discussed in the paper.Thesufficient conditions for oscillation of positive steady state are given.     

Almost Automorphic Solutions for Quaternion-Valued Hopfield Neural Networks with Mixed Time-Varying Delays and Leakage Delays

This paper considers a class of quaternion-valued Hopfield neural networks with mixed time-varying delays and leakage delays. By utilizing the exponential dichotomy of linear differential equations, Banach's fixed point theorem and differential inequality techniques, the authors obtain some sufficient conditions to ensure the existence and global exponential stability of almost automorphic solutions for this class of quaternion-valued neural networks. The results are completely new. Finally,the authors give an example to illustrate the feasibility of the results.     

具有不同输入时延的二阶多智能体系统一致性

研究了具有不同时变输入时延的二阶连续多智能体系统的一致性问题。首先,通过变量转换,将系统的收敛性问题转化为误差系统的稳定问题;然后,通过对系统进行变换,将二阶系统稳定性问题转换为等价系统的稳定性问题。通过构造李雅普诺夫函数,基于线性矩阵不等式(LMI)的方法,给出在无向固定拓扑条件下,系统达到一致的充分条件。最后,仿真实例证明了结果的有效性。     

Existence and Global Exponential Stability of Pseudo Almost Periodic Solutions of a General Delayed BAM Neural Networks

This paper studies a class of general BAM neural networks with multiple delays. Employing the exponential dichotomy theory and fixed point method, together with constructing suitable Lyapunov functionals, easily verifiable delay-independent criteria are established to ensure the existence and global exponential stability of pseudo almost periodic solutions, which not only generalize but also complement some existing ones. These theoretical results are also supported with numerical simulations.     

Consensus of Single Integrator Multi-Agent Systems with Unbounded Transmission Delays

This paper investigates the consensus problem of single integrator multi-agent systems with unbounded time-varying transmission delays and fixed directed topology. A distributed controller is proposed taking into consideration the unbounded transmission delays. It is shown that the consensus problem can be solved via the proposed controller under the spanning tree assumption and the nocycle assumption. The authors characterize the no-cycle assumption and prove the consensus of the concerned multi-agent system with an induction procedure. Two simulation examples are provided,one to illustrate the effectiveness of our result and the other to show the necessity of the no-cycle assumption.     

Existence and Stability for Periodic Solution of Cooperation Ecosystem with Diffusion

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具有异步时延的网络化控制系统故障检测

针对具有异步信号时延的离散系统，研究了在异步时延下基于观测器的故障检测及其设计问题。首先提出了一个存在异步时延下系统的故障检测模型，该模型保持了系统的定常性和时不主特性。同时在此模型上构造了异步时延系统的状态观测器，并依据系统观测误差通过合理地选择湮灭加权矩阵的方法构建了频域内的故障检测残差发生器。最后通过一个摆式列车试验模型的仿真检验了设计方法的有效性。     

时滞分布参数系统的指数渐近稳定性

基于Lyapunov稳定性理论,利用辅助函数方法研究由变时滞分布参数控制系统所导出的滑动模运动方程的指数渐近稳定性问题,获得了一类滑动模运动方程指数渐进稳定的充分条件,建立了滑动模运方程解的指数渐近稳定性定理。这就为研究时滞分布参数系统的变结构控制问题奠定了理论基础。     

一类多状态时滞不确定系统的鲁棒预测控制

针对一类多状态时滞多面体不确定对象,提出了一种鲁棒预测控制算法。基于参数相关的李亚普诺夫函数,给出了系统稳定的充分条件。通过求解满足若干线性矩阵不等式条件的上界值的最优化问题,获得了约束范围内满足系统鲁棒性能的最优控制律。优化问题的可行性保证了算法的鲁棒稳定性。仿真实例证明了该算法的有效性。     

Predictive Control of High-Order Fully Actuated Nonlinear Systems with Time-Varying Delays

Journal of Systems Science and Complexity - This paper investigates the control problem of high-order fully actuated nonlinear systems with time-varying delays in the discrete-time domain. To make...     

基于模糊模型的不确定时变时滞混沌系统同步

针对存在参数摄动、外扰动等不确定因素的时变时滞混沌系统的同步问题,基于Lyapunov-计的模糊控制器结构简单,且该方法适用于绝大多数变时滞混沌系统的同步控制.仿真结果表明所提出的控制方法是有效的.     

Fault Detection for Complex Systems with Channel Fadings,Randomly Occurring Multiple Delays and Infinitely Distributed Delays

This paper is concerned with the fault detection(FD) problem for a class of discretetime stochastic systems with channel fadings, randomly occurring multiple communication delays,and infinitely distributed delays. All of the three phenomena have the characteristics of randomly occurring and three sequences of stochastic variables which are mutually independent but obey the Bernoulli distribution are employed to describe them. The aim of this paper is to design an FD filter such that the FD dynamics is exponentially stable in the mean square and, at the same time, the error between the residual signal and the fault signal is made as small as possible. Intensive analysis is utilized to derive the sufficient conditions for the designed FD filter, which guarantees the exponential stability and the prescribed H∞ performance. FD filter parameters are obtained by solving a convex optimization problem. An illustrative example is provided to demonstrate the effectiveness of the FD design scheme.     

FD-TD Analysis of Electromagnetic Wave Scattering by Infinite Periodic Structure

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网络控制系统中的时延分析

在控制网络中使用数据网络已经引起了广泛关注。如何处理网络诱导时延对网络控制系统的影响已经成为了网络控制系统的主要挑战。介绍了网络控制系统的概念,分析了网络控制系统的优缺点,探讨了网络诱导时延的组成、特点以及对网络控制系统的影响并给出了仿真结果,最后提出了未来可能的研究方向。     

Stability of Traveling Waves Solutions for Nonlinear Cellular Neural Networks with Distributed Delays

Journal of Systems Science and Complexity - This paper investigates the exponential stability of traveling wave solutions for nonlinear delayed cellular neural networks. As a continuity of the past...     

STABILITY OF N-DIMENSIONAL LINEAR SYSTEMS WITH MULTIPLE DELAYS AND APPLICATION TO SYNCHRONIZATION

This paper further investigates the stability of the n-dimensional linear systems with multiple delays. Using Laplace transform, we introduce a definition of characteristic equation for the n-dimensional linear systems with multiple delays. Moreover, one sufficient condition is attained for the Lyapunov globally asymptotical stability of the general multi-delay linear systems. In particular, our result shows that some uncommensurate linear delays systems have the similar stability criterion as that of the commensurate linear delays systems. This result also generalizes that of Chen and Moore （2002）. Finally, this theorem is applied to chaos synchronization of the multi-delay coupled Chua＇s systems.