二维广义系统Roesser模型局部能达和局部能控性

研究了二维广义系统Roesser模型的性质,推导出了该系统的状态响应公式.给出了其在矩形区域上局部能达和局部能控的充分必要条件.同时,利用二维Z变换理论,给出了二维广义系统Roesser模型局部能达和局部能控的等价定义,并得出该模型相应的局部能达和局部能控的新的充分必要条件.     

一类线性切换系统的能控性和能观测性的充要条件

循环不变子空间是常用于控制科学和信号处理理论的重要数学工具之一。用循环不变子空间的性质研究了切换系统的能控性和能观测性。先给出了切换系统能控性、能达性和能观测性的概念,并讨论了循环不变子空间的性质。然后用循环不变子空间的性质研究了周期线性切换系统的能控制性、能达性及能观测性,得到线性周期切换系统完全能控和完全能观测的充分必要条件。最后给出一般线性切换系统完全能控和完全能观测的充分条件和必要条件。     

Controllability and observability of networked control systems with time-varying delays

The controllability and observability of networked control systems are studied. Aiming at the networked control system with time-varying delay, the sufficient and necessary conditions for complete controllability and complete observability of the system are presented, respectively. Because of Markov characteristic of the network-induced delay, in terms of stochastic theory, a sufficient and necessary condition for completely mean value controllability of networked control systems is obtained. Further, the conditions that the controllability and observability of networked control systems are equivalent to the initial time-invariant system are given. Controllability and observability realization indexes are also discussed, respectively. The numerical example demonstrates the effectiveness of the proposed theory.     

Controllability of Quantum Systems with SU(1, 1) Dynamical Symmetry

This paper presents sufficient and necessary conditions for the propagator controllability of a class of infinite-dimensional quantum systems with SU(1, 1) dynamical symmetry through the isomorphic mapping to the non-unitary representation of SU(1, 1). The authors prove that the elliptic condition of the total Hamiltonian is both necessary and sufficient for the controllability and strong controllability. The obtained results can be also extended to control systems with SO(2, 1) dynamical symmetry.     

基于矩阵半张量积方法的改进数量化理论 (Ⅰ)

利用矩阵半张量积理论, 从两个方面对数量化理论(Ⅰ)进行改进: 一是改进模型, 提出一种定性数据通用预测模型; 二是扩展基准变量的维数, 建立一种多维预测方法. 首先, 基于混合逻辑半张量积表示, 研究一维基准变量预测问题, 提出一种新的 预测模型——伪混合逻辑函数模型, 它可描述定量基准变量与定性说明变量间的任一复杂解析关系; 并基于样品数据, 研究如何确定预测模型的结构矩阵. 然后, 研究多维基准变量预测问题, 提出一种伪混合逻辑函数向量预测模型, 并给出其结构矩阵的确定方法. 最后, 给出一个应用例子, 说明本文方法的有效性.     

Research on controllability for a class of fractional-orderlinear control systems

1.INTRODUCTION Therealobjectsaregenerallyfractional[1],however,thecontrolsystemsusedsofarareallconsideredas integer ordersystems.Thereasonisthecomplexity andtheabsenceofadequatemathematicaltoolsfor fractional ordersystems.Fractionalcalculusisanatu ralextensionoftheclassicalmathematics.Thefrac tionalcalculustheorywasdevelopedbyalotofmath ematicians[2,3]andtheapplicationdomainsoffrac tionalcalculushaveincreasedsignificantly.Lasttwo decadestheknowledgewasappliedincontroltheory,whichconcerned…     

On controllability for stochastic control systems when the coefficient is time-variant

<正> This paper investigates the controllability problem of time-variant linear stochastic controlsystems.A sufficient and necessary condition is established for stochastic exact controllability,whichprovides a useful algebraic criterion for stochastic control systems.Furthermore,when the stochasticsystems degenerate to deterministic systems,the algebraic criterion becomes the counterpart for thecomplete controllability of deterministic control systems.     

EIGENSTRUCTURE ASSIGNMENT VIA DYNAMIC OUTPUT FEEDBACK

ThisresearchissupportedbytheNationalNaturalScienceFOundationandthePostdoctoralScienceFOundationofChina.feedback,controllability,observability.1.IntroductionEigenstructureassignment,asoneofthemostfundamentalproblemsinmoderncontroltheroy,wasstudiedextensivelyinthepast.Theassignabilityconditionsviastatefeedbackandpracticalalgorithmshavebeengiven[1--41.Inrecentyearsgtheproblemintheoutputfeedbackcasehasbeendiscussed.[51studiedthisproblembyusingtheconceptof(A,B)characteristicsubspace.[6--8]putt…     

Impulse Controllability and Impulse Observability of Stochastic Singular Systems

This paper discusses the impulse controllability and impulse observability of stochastic singular systems. Firstly, the condition for the existence and uniqueness of the impulse solution to stochastic singular systems is given by Laplace transform. Secondly, the necessary and sufficient conditions for the impulse controllability and impulse observability of systems considered are derived in terms of matrix theory. Finally, an example is given to illustrate the effectiveness of the obtained theoretical results.     

电网络的支路集可测性理论——(Ⅰ)单激励情况

本文从支路集可测性的概念出发,讨论了电网络的多故障诊断问题,并给出了电网络支路集可测的几个充要条件(其中包括拓扑条件)。然后,讨论了支路集可测性与模块级故障可测性的关系,其结论对大规模网络的故障诊断是很重要的。研究结果表明,尽管实际电网络通常无法做到所有k支路集可测,但对某些多故障,却完全可以唯一地定位。     

可达性等价于状态方程可满足性的两个Petri-Nets子类

可达性是Petri网的一个基本性质,其判定问题是Petri网理论研究方面的一个重要课题.众所周知,一个Petri网的状态方程可满足性是其可达性的一个必要不充分条件.然而[2]证明了,对于活的T-系统,其状态方程可满足性是其可达性的一个充分必要条件.另外[3]指出,对于活的加权T-系统,这一点也成立.下面第1部分给出一种包含活T-系统的活Petri网子类,并证明其状态方程可满足性是其可达性的一个充分必要条件.特别地,第2部分提出另一种Petri网子类(可以是不活的),并证明其状态方程可满足性也是其可达性的一个充分必要条件.     

Positive-Controllability,Positive-Near-Controllability,and Canonical Forms of Driftless Discrete-Time Bilinear Systems

Controllable canonical forms play important roles in the analysis and design of control systems. In this paper, a fundamental class of discrete-time bilinear systems are considered. Such systems are of interest since, on one hand, they have the most complete controllability theory. On the other hand, they can be nearly-controllable even if controllability fails. Firstly, controllability of the systems with positive control inputs is studied and necessary and sufficient algebraic criteria for positive-controllability and positive-near-controllability are derived. Then, controllable canonical forms and nearly-controllable canonical forms of the systems are presented, respectively, where the corresponding transformation matrices are also explicitly constructed. Examples are given to demonstrate the effectiveness of the derived controllability criteria and controllable canonical forms.

     

Topological Conditions for Unique Solvability of RLC OP Amp Networks

Ｔｏｐｏｌｏｇｉｃａｌ　Ｃｏｎｄｉｔｉｏｎｓ　ｆｏｒ　Ｕｎｉｑｕｅ　Ｓｏｌｖａｂｉｌｉｔｙ　ｏｆ　ＲＬＣ　ＯＰ　Ａｍｐ　ＮｅｔｗｏｒｋｓＹａｎｇＪｉａｗｅｉ（ＢｅｉｊｉｎｇＩｎｓｔｉｔｕｔｅｏｆＲｅｍｏｔｅＳｅｎｓｉｎｇＥｑｕｉｐｍｅｎｔ，Ｂｅｉｊｉ...     

系统可靠性有向故障流图模型及DMA算法

有向矩阵分析法(DigraphMatrixAnalysis), 简称DMA法, 以系统的有向故障流图作为可靠性模型, 采用拓扑学中的可达性计算直接形成系统的割集。本文在有向故障流图模型和可达性计算中引入多端与门的逻辑运算关系, 改进和完善了形成最小割集的算法。串联结构节点压缩技术和模块分解技术的应用, 有效地降低了系统的规模和割集形成过程的计算量。     

NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL CONTROLLABILITY OF A CLASS OF AFFINE NONLINEAR SYSTEMS

In this paper, we investigate the global controllability of a class of n-dimensional affine nonlinear systems with n- 1 controls and constant control matrix. A necessary and sufficient condition for its global controllability has been obtained by using the methods recently developed. Furthermore, we generalize the above result to a class of affine nonlinear systems with a block-triangular-like structure. Finally, we will give three examples to show the applications of our results.     

Approximate Controllability of Second-Order Neutral Stochastic Differential Equations with Infinite Delay and Poisson Jumps

The modelling of risky asset by stochastic processes with continuous paths, based on Brownian motions, suffers from several defects. First, the path continuity assumption does not seem reasonable in view of the possibility of sudden price variations(jumps) resulting of market crashes. A solution is to use stochastic processes with jumps, that will account for sudden variations of the asset prices. On the other hand, such jump models are generally based on the Poisson random measure. Many popular economic and financial models described by stochastic differential equations with Poisson jumps. This paper deals with the approximate controllability of a class of second-order neutral stochastic differential equations with infinite delay and Poisson jumps. By using the cosine family of operators, stochastic analysis techniques, a new set of sufficient conditions are derived for the approximate controllability of the above control system. An example is provided to illustrate the obtained theory.     

广义系统的可正则性研究

正则性对于研究广义系统 ,保证对任意输入和相容初值系统存在唯一的解是十分必要的 ,系统的可控性、可达性及其它性质的研究都必须首先保证系统的正则性的条件得到成立。但是在系统的反馈控制中 ,选择不同的反馈因子 ,则系统的正则性可能会被改变。利用广义系统的系数矩阵 ,给出了其一类不变子空间的结构 ,并由此给出了广义系统的可正则性的一个充分必要条件。     

Controllability of Singular Distributed Parameter Systems in the Sense of Mild Solution

Necessary and sufficient conditions for the exact controllability and approximate controllability of a singular distributed parameter system are obtained. These general results are used to examine the exact controllability and approximate controllability of the Dzektser equation in the theory of seepage.     

Perturbation and robust controllability of singular distributed parameter control systems in Hilbert space

Perturbation and robust controllability of the singular distributed parameter control system are discussed via functional analysis and the theory of GE-semigroup in Hilbert space.The perturbation principle of GE-semigroup and the sufficient condition concerning the robust controllability of the singular distributed parameter control system are obtained,in which the controllability for singular distributed parameter control system is not destroyed,if we perturb the equation by small bounded linear operator.