OPTIMAL CONTROL OF A CLASS OF DISTRIBUTED PARAMETER DELAY SYSTEMS

1.IntroductionManyphysicalsystems,suchajsthemodynamics,electrodynamics,populationbiology,aregovernedbydifferentialequations,integrodifferentialequationsormoregenerallyfunctionaldifferentialevolutionequationsonBanachspace.Associatedoptimalcontrolprobl...     

Ho∞-based fault detection for nonlinear networked systems with random packet dropout and probabilistic interval delay

The fault detection problem for the nonlinear networked control system (NCS) with packet dropout and delay is investigated.A nonlinear stochastic system model is proposed to account for the NCS with random packet dropout and networkinduced non-uniformly distributed time-varying delay in both from sensor to controller (S/C) and from controller to actuator (C/A).Based on the obtained NCS model,employing an observer-based fault detection filter as the residual generator,the addressed fault detection problem is converted into an auxiliary nonlinear H∞ control problem.Then,with the help of Lyapunov functional approach,a sufficient condition for the desired fault detection filter is constructed in terms of certain linear matrix inequalities,which depend on not only the delay interval but also the delay interval occurrence rate and successful packet communication rate.Especially,a trade-off phenomenon between the maximum allowable delay bound and successful data packet transmission rate is found,which is typically resulted from the limited bandwidth of communication networks.The effectiveness of the proposed method is demonstrated by a simulation example.     

Radau IIA方法对比例延迟微分方程的渐近稳定性

研究Raudau IIA 方法用于求解比例延迟微分方程时的渐近稳定性。近年来比例延迟微分方程数值解的性质已被数位数学家所研究,他们使用的步长都是定步长,一般情况下将推导出较难分析的递推关系,在本文中出于理论和计算两方面的原因,我们研究强制变步长计算方案,这种解法得到不变阶差分方程。我们证明了Raudau IIA 方法是渐近稳定的。     

GLOBAL STABILITY AND HOPF BIFURCATION OF AN SIS EPIDEMIC MODEL WITH TIME DELAYS

1 IntroductionFor epidemic model with delays, many people have done a lot of work and many valuableresults have been obtained. In SIS ePidemiologic models, susceptibles become infectious aftersufficieot contact with an infective and then become susceptible again after they have recoveredfrom the infection. SIS models with a time delay in the infectious class and a constan poWulation size were analyzed by Cooke and Yorke[1] and Greenberg and Hoppensteadt[2J. TheyfOund that aJl solutions a…     

基于广义出行成本的出行方案优化

为了使出行成本更加符合出行者的认知规律,运用结构方程建模方法模拟出行成本,个体特征及出行决策之间的影响关系.引入敏感系数调整服务属性在出行成本中的贡献率,利用出行意愿调查数据对敏感系数进行标定.考虑出行者对抵达时刻的选择偏好,假设行程时间服从正态分布条件下,对最佳出发时刻及期望出行成本进行寻优求解,结果表明它取决于期望到达时刻,行程时间的期望值及方差,出行者对早到损失及晚到延误损失时间成本的相对大小.研究成果可为制定个性化及最优化出行决策方案提供依据.     

基于WIA-PA的无线总线多信道调度算法

针对无线总线替代有线总线所带来的网络实时性和吞吐量下降的问题,充分利用无线信道提供的众多信道,在媒体接入控制(media access control,MAC)层提出了一种多信道调度算法。该算法在星型拓扑下将每个通信周期分为载波侦听多路访问(carrier sense multiple access,CSMA)阶段和时分多址(time division multiple access,TDMA)阶段。在CSMA阶段,基于不同优先级的灵活接入使得节点间发生碰撞的可能性大大降低。在TDMA阶段,基于全局队列的最早截止时间优先(earliest deadline first,EDF)调度使得信道利用率明显提高。仿真结果表明:提出的多信道MAC调度算法可以有效提高网络的实时性和吞吐量。     

非线性中立型延迟微分方程Runge-Kutta方法的稳定性

对Rα,β类非线性中立型延迟微分方程给出了稳定及渐近稳定的充分条件,对于Runge-Kutta方法应用于上述问题得到的数值方法，获得了其稳定及渐近稳定的条件。     

H_∞-based fault detection for nonlinear networked systems with random packet dropout and probabilistic interval delay

The fault detection problem for the nonlinear networked control system(NCS) with packet dropout and delay is investigated.A nonlinear stochastic system model is proposed to account for the NCS with random packet dropout and networkinduced non-uniformly distributed time-varying delay in both from sensor to controller(S/C) and from controller to actuator(C/A).Based on the obtained NCS model,employing an observer-based fault detection filter as the residual generator,the addressed fault detection problem is converted into an auxiliary nonlinear H∞ control problem.Then,with the help of Lyapunov functional approach,a sufficient condition for the desired fault detection filter is constructed in terms of certain linear matrix inequalities,which depend on not only the delay interval but also the delay interval occurrence rate and successful packet communication rate.Especially,a trade-off phenomenon between the maximum allowable delay bound and successful data packet transmission rate is found,which is typically resulted from the limited bandwidth of communication networks.The effectiveness of the proposed method is demonstrated by a simulation example.     

并行分布实时仿真的时间管理算法研究

并行分布实时仿真技术对大规模复杂系统的实时仿真提供了便利,近年来日益成为研究的热点.时间是分布式仿真中的重要概念;时间管理自然成为了分布仿真的关键技术.实时仿真对仿真时间的特殊要求,使得系统中的时钟同步与时间推进成为系统研究的关键.在探讨并行分布式仿真中的通用时间管理机制的基础上,从内同步和外同步两个角度研究了并行分布式实时仿真系统的时间推进方案和时钟同步方法;基于高速实时网络,提出了“共享时钟源”的时钟同步策略;结合具体的应用需求,给出了一种优先级轮询的时间管理算法.