广义系统的能控、能观性判别条件

该文讨论广义系统能控、能观性问题,给出了广义系统能控和能观性一种新的判别条件.     

能控（观）广义系统集的拓扑结构*

本文讨论了能控(观)广义系统集的开性和稠密性,并从能控(观)正则系统集的拓扑结构出发,讨论了相应的广义系统集的连通性,得到了较好的结果,从而将有关正则系统的结果推广到了广义系统。     

一类连续时间广义边值系统的能控性和能观性

连续时间广义边值系统被描述为Ｅｘ（ｔ）＝Ａｘ（ｔ）＋Ｂｕ（ｔ）,Ｖ０ｘ（０）＋Ｖｒｘ（Ｔ）＝ｖ,其中Ｅ是奇异方阵,ｕ（ｔ）满足任意次可微,本文讨论了一类连续时间广义边值系统的有关向内和向外边值过程的两个重要概念,并在此基础上给出了能控性和能观性定义和判别准则．     

离散广义系统模型的一般响应公式与局部能控性

利用函数的Z-变换,获得了离散广义系统模型的一般响应公式,由此得到该模型的局部可达性与局部能控性的充分必要条件.     

线性时变广义系统的能控性与能观性问题

讨论了线性时变系统和线性时变广义系统的两个基本问题, 得到了两种判定时变系统能控性与能观性的必要条件, 该判定条件只依赖于系统矩阵A(t)和输入矩阵B(t), 不必计算系统的系统状态转移矩阵, 使得判别时变系统能控性与能观性易于实现. 说明了本文结论是线性定常系统相应结论的自然扩展. 对进一步深入研究时变系统和时变广义系统具有实际启发作用.     

广义系统能控性的几个注记

本文首先给出了广义系统能控性与正常系统能控性的关系,并由此讨论了广义系统最优经济结构综合问题及能控性程度的度量形式.最后给出了工程算例.     

离散时滞广义系统的一般解与局部能控性

利用函数的Z－变换,获得了离散时滞广义系统的一般解,由此得到该系统的局部可达性与局部能控性的充分必要条件,同时给出了数值例子。     

离散广义系统模型的一般响应公式与局部能控性

利用函数的Z－变换,获得了离散广义系统模型的一般响应公式,由此得到该模型的局部可达性与局部能控性的充分必要条件。     

广义系统中的非动态变量

本文深入考察了广义系统的特有现象——非动态变量及其在系统等价、能控能观性和实现问题等方面的影响,得到了一些新见解和新结果。     

一种功能级的可测试性测度

本文提出了一种功能级的可测试性测度FLTM(Functional Level Te-stability Measure).针对功能级的故障模型,FLTM引入了数据位可控性与数据通路状态可控性的概念.由于不同的故障效应可观度不一样,文中引入了故障效应可观度的概念.FLTM着重考虑了重汇聚扇出对电路可测性的影响,提出了一种加权的可测度计算方法.     

Controllability and observability of switched multi-agent systems

This paper considers controllability and observability of switched multi-agent systems, which are composed of continuous-time and discrete-time subsystems. First, a controllability criterion is established in terms of the system matrices. Then, by virtue of the concepts of the invariant subspace and the controllable state set, a method is proposed to construct the switching sequence to ensure controllability of switched multi-agent systems, and a necessary and sufficient condition is obtained for controllability. Moreover, a necessary controllability condition is derived in terms of eigenvectors of the Laplican matrix. With respect to observability, two necessary and sufficient algebraic conditions are obtained. Finally, simulation examples are provided to illustrate the theoretical results.     

SCTM:一种基于信号冲突的可测性测度

本文提出了一种基于信号冲突的可测试性测度SCTM.该测度主要针对SCOAP对扇出重汇聚等问题处理所存在的缺陷,着重考虑了扇出重汇聚在测试过程中可能导致的信号冲突.     

Multirate sampled-data systems: computing fast-rate models

This paper studies identification of a general multirate sampled-data system. Using the lifting technique, we associate the multirate system with an equivalent linear time-invariant system, from which a fast-rate discrete-time system is extracted. Uniqueness of the fast-rate system, controllability and observability of the lifted system, and other related issues are discussed. The effectiveness is demonstrated through simulation and real-time implementation.     

Dynamic generalized controllability and observability functions with applications to model reduction and sensor deployment

In this paper we introduce the notion of Dynamic Generalized Controllability and Observability functions for nonlinear systems. These functions are called dynamic and generalized since they make use of additional states (dynamic extension) and are such that partial differential inequalities are solved in place of equations. The presence of the dynamic extension permits the construction of classes of canonical controllability and observability functions without relying on the solution of any partial differential equation or inequality. The effectiveness of the proposed concept is validated by means of two applications: the model reduction problem via balancing and the sensor deployment problem in a continuous stirred tank reactor (CSTR).     

Controllability and observability of multi-agent systems with heterogeneous and switching topologies

ABSTRACT

This paper focuses on controllability and observability of multi-agent systems with heterogeneous and switching topologies, where the first- and the second-order information interaction topologies are different and switching. First, based on the controllable state set, a controllability criterion is obtained in terms of the controllability matrix corresponding to the switching sequence. Next, by virtue of the subspace sequence, two necessary and sufficient algebraic conditions are established for controllability in terms of the system matrices corresponding to all the possible topologies. Furthermore, controllability is considered from the graphic perspective. It is proved that the system is controllable if the union graph of all the possible topologies is controllable. With respect to observability, two sufficient and necessary conditions are derived by taking advantage of the system matrices and the corresponding invariant subspace, respectively. Finally, some simulation examples are worked out to illustrate the theoretical results.