REACHABILITY AND CONTROLLABILITY OF DISCRETE-TIME LINEAR DYNAMICAL SYSTEMS

The concepts of reachability and controllability do not coincide but reflect a fundamental difference between the dynamical characteristics of different classes of multi-variable systems. This difference is discussed in relation to discrete-time linear dynamical systems and is illustrated by a simple numerical example.     

CONTROLLABILITY OF A CLASS OF SINGULAR SYSTEMS

In this paper, several different concepts of controllability are investigated for a class of linear singular systems which system parameters are piecewise constant. Necessary and sufficient geometric criteria for C‐controllability and R‐controllability of such systems are established, respectively. These conditions can be easily transformed into algebraic form. By applying the principle of duality, C‐observability is discussed as well. Furthermore, the intrinsic relationship between these results and existing results are also discussed. Then, a novel necessary, and sufficient criterion for C‐controllability of linear time‐invariant singular systems is derived as a byproduct.     

广义动力系统的可控性与强可观性

本文研究广义状态空间系统的强可控与强可观问题。给出强可控强可观及强既约的充要判据。     

线性离散系统的快速辨识与自适应控制

利用输出误差向量组成一正定二次型目标函数,然后应用各种梯度法计算待估的参数。为改进迭代计算的收敛特性,文中建议增加输出误差向量的维数。本方法的主要优点在于利用系统输入输出的有限数据即可求得参数真值。文中还说明本方法也可用于模型参考自适应控制系统的设计。     

线性系统能控性、能观测性的数值判断

本文讨论数字计算机判断线性、时不变系统能控性,能观测性的问题。引入了矩阵数值秩的概念以及通过奇异值判断矩阵数值秩的方法。在此基础上给出了线性系统能控性、能观测性数值判断的概念和方法。以Schuler平台的初始对准问题为例说明了这一方法。利用奇异值扰动的性质,进行了系统能控性,能观测性的鲁棒性分析。     

变系数2-D线性离散系统在一般模型下的状态响应及其观控性

本文研究了变系数2-D线性离散系统的一般模型,得出了系统的响应公式,给出了系统是能控和能观的充要条件,并解决了相应的最小能量控制问题.     

线性离散系统稳定化控制器的统一代数刻划

本文研究稳定离散控制系统的代数结构问题，即期望给出线性离散系统稳定化状态反馈控制器的统一代数刻划。本文结果对离散状态反馈控制系统的设计具有理论指导意义，同时也提供了线性稳定系统结构分析的一种新方法。     

ON THE PROBLEM OF REPRESENTATION IN LOCKEAN AND DIALECTICAL BELIEF SYSTEMS: A SYSTEMS APPROACH TO POLICY ANALYSIS

This paper explores the problems that are associated with building a model (representation) of two systems which are central to the field of policy analysis. The systems are the Lockean and Dialectical Inquiring Systems (ISs). Given two or more belief systems, a Lockean IS will attempt to secure maximum agreement between them, whereas a Dialectical IS will attempt to secure maximum disagreement as the basis for forming a policy.     

LINEAR SYSTEM CANONICAL FORMS

Several canonical forms are developed for linear, constant, single-input, single-output systems. These canonical forms correspond to the system properties of Controllability, Observability, Reachability, and Constructability and are applicable to the case of continuous systems in which time has been discretized and to the case of linear sequential machines.     

一类具有相似结构的组合系统的结构可控性与渐近合作性

研究一类由若干个具有相似结构的子系统和一个外部系统所组成的组合系统，并证明在适当的内联条件下，这类系统的结构可控性和渐近合作性等定性性质可由其修正的低阶子系统和解耦系统的相应性质所决定。     

线性时滞系统的输入-输出能量解耦

提出一种针对具有时变时滞的线性时滞系统的能量解耦方法,即从输入-输出的能量关系上实现解耦,使得任何一个输入的能量主要控制对应的一个输出的能量,对其它输出能量的影响尽可能小.该解耦方法兼有静态解耦与动态解耦的特点.所有结论均由线性矩阵不等式描述.     

定常2-D系统控制能量受限下的完全能控性

本文研究了定常2-D系统Roesser模型在控制能量受限下的完全能控性,得到了一个充分必要条件,并对一种特殊的2-D可分离分母系统给出了控制能量受限下完全能控的一种非常简洁的代数条件。     

HILBERT SPACE AND DYNAMICAL HIERARCHICAL SYSTEMS

We consider a hierarchically organized set of interacting elements. Like in previous works, we assume strong intra-group interactions and weak inter-group interactions. We give a general method to obtain global variables associated to each group of the hierarchical system. In Hilbert space, global variables are obtained from scalar product of a system vector which is defined by the time derivatives of the system variables by a reference vector. The reference vector is chosen in order to eliminate the intra-group terms from the global variables equations. It is shown that the global variables are slow varying in time with respect to system variables and that the parameters of the global equations are depending on the intra-group frequencies. Then, we give a first application of this general method by studying a coupled model of individual and population dynamics in Ecology. We also present a second application of a set of coupled Lotka-Volterra cycles with computer simulations. This new method allows to obtain dynamical equations for global variables of different types such as the G function of the Lotka-Volterra model.     

Discrete-time linear periodic systems: A note on the reachability and controllability interval length

Discrete-time linear systems with periodic coefficients of period T are considered in this paper. The reachability and controllability indices at time t for periodic systems, μ_rt and μ_ct, are defined. It is shown that the reachability [controllability] subspace at time t does coincide with the reachability [controllability] subspace over the interval (t − μ_rt,T, t) [(t, t + μ_ct.,T)] and properly includes the reachability [controllability] subspace over the interval (t −(μ_rt−1) T, t) [(t, t +(μ_cr−1)T)].     

二维系统的能达性能观性与综合

本文提出了二维系统“环上能达能观”与“强形式能达能观”的概念;并应用模论、理想论与代数几何的方法得到了这两种能达能观性的简单判据以及用补偿器综合稳定系统的充分条件.     

线性混成系统的参数分析

针对线性混成系统中存在的一类典型未知参数问题,如实时系统的验证通常局限于给定矍体数值,未考虑系统中任何时间参数或物理特征参数的计算等,给出了具体的计算过程,实例应用表明,该计算过程可以有效地求解线性混成系统中这类未知参数,并能保证系统按照规约的要求正确运行。     

混合不确定性系统的鲁棒镇定及性能设计

采用双回路控制方法讨论具有混合不确定性系统的鲁棒镇定及性能设计问题，其内环控制器可改善对象特性，从而使整个双回路闭环系统具有鲁棒稳定性．     

线性不确定时滞系统指定衰减度鲁棒镇定

研究了一类线性不确定时滞系统时滞依赖型具有指定衰减度的无记忆状态反馈鲁棒镇定问题.所考虑的线性不确定时滞系统含有时变未知但有界的不确定参数和状态滞后.通过应用Razumikhin定理和Lyapunov定理,导出了系统鲁棒稳定且具有指定衰减度的判据和具有指定衰减度的无记忆状态反馈鲁棒镇定控制律存在的充分条件及相应的控制器设计方法.所得时滞相关的结果用一组线性矩阵不等式(LMI)表示.     

混合动态系统中连续状态系统用离散事件系统描述的一致性

混合动态系统起因于离散事件系统用于监控连续状态系统的行。本文用抽象语言方法描述连续状态系统，研究状态离散事件系统描述的一致性。基于输入输出观点简要地 讨论了离散控制器综合。