H∞ control for stochastic systems with time-delay

The H∞-control problem of stochastic systems with time-delay is considered. The sufficient conditions are obtained, under which there are always state-feedback control and dynamic output-feedback control so that the resulting closed-loop system is internaly stable and L2 input-output stable in the sense of expectation. Furthermore, the explicit formulas of both kinds of controls are derived. An example is included to illustrate the correctness of theoretic results.     

交错立方体上限制容错单播算法的研究

在交错立方体中引入限制故障顶点集的概念,证明了当n≥3时,交错立方体中基于限制故障顶点集的限制连通度为2n-2,这一结果几乎是交错立方体上传统连通度的两倍;然后提出了基于该情形下的时间复杂度为O(「log|F|┐n~3)的容错单播算法,并证明了在最坏情形下,该算法构造出的无故障路径的最长路径长度的上界为5m+n-1,其中m=「log|F|┐;进一步利用上述算法进行仿真.     

一类MIMO网络控制系统的时滞相关鲁棒控制器设计

针对一类多输入多输出(MIMO)网络控制系统,提出一种时滞相关鲁棒控制器的设计方法.首先经过等价推导,将系统转化成具有多输入时滞的连续系统,利用李雅普诺夫函数,通过求解若干线性矩阵不等式,获得系统时滞相关鲁棒控制器.算法递推简单,避免了进行系统变换和处理交叉项,减少了计算负荷.仿真结果表明:在网络具有一定传输时延的情况下,该方法可以获得满足系统稳定性的控制器.     

一维混杂控制系统可生存域计算

讨论了一维混杂控制系统在闭区间里的最大可生存域的计算问题.采用混杂微分包含描述混杂控制系统,针对系统为一维的情况作了合理的简化.将一维混杂控制系统的最大可生存域的计算问题转化为一个优化问题,并给出了具体的例子来说明这一结果.     

Two-Component Signal Transduction Systems in the Cyanobacterium Synechocystis sp. PCC 6803

Introduction Rapid adaptation to environmental challenges is vitally important for bacterial survival and growth. One way in which bacteria control their response to changing environmental conditions is through the mechanism of two-component signal transd…     

一类带有非局部源的退化抛物型方程组解的局部存在性

讨论了一类带有非局部源的退化抛物型方程组解的初边值问题.首先给出了问题的最大值原理和比较原理,然后运用一般的逼近思想来得到了问题存在局部解.     

Robust Stabilization Control for a Class of Nonlinear Measure Differential Systems with Delay

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稳态大系统中关联平衡法的改进

对于子系统的性能指标按一定顺序耦合的稳态大系统,本文采用两级递阶优化控制算法。利用上下级之间的纵向信息交换对子系统之间的关联进行解耦,利用子系统之间的横向信息传递对目标函数进行解耦,这种方法是对关联平衡法的改进,从而,解决了一类不可分的稳态优化问题,仿真效果好。     

MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEM OF FULLY COUPLEDFORWARD-BACKWARD STOCHASTIC SYSTEMS

1.IntroductionLet(fi,F,P)beaprobabilityspaceand{Bt}tZobead-dimensionalBrownianmotioninthisspace.Let{R}tZobethenaturalfiltrationofthisBrownianmotion.Weconsiderthefollowingfullycoupledforward-backwardstochasticsystems:where(x,y,z)takesvaluesinRxacxRTnxd.LetUbeanonemptyconvexsubsetofR',Anelementofadiscalledanadmissiblecontrol.Wecandefinethefollowingcostfunction:TheoptimalcontrolproblemistominimizethecostfunctionJ(v(.))overadmissiblecontrols.Anadmissiblecontrolu(.)iscalledanoptimalcontrol…     

POSITIVE SOLUTIONS OF SINGULAR SUBLINEAR SECOND ORDER BOUNDARY VALUE PROBLEMS

1.IntroductionBoundaryvaluepr0blemsconcerningthegeneralizedEmden-F0wlerequationsx p(t)x'=O,(1)wherep(t)eC(O,1),p(t)20f0rtE(O,1),AER,havebeenstudiedbymanyauthors(see[1-51andthereferencestherein).InthispaperwetreattheDirichletproblem(1)withax(0)-bx'(0)=O,c…