共查询到20条相似文献,搜索用时 15 毫秒
1.
M. A. Christodoulou P. N. Paraskevopoulos 《Journal of Optimization Theory and Applications》1985,45(1):53-72
The problems of solvability, controllability, and observability for the singular systemKx(t)=Ax(t)+Bu(t) are studied, whereK is a singular, square matrix andu(t) is a complex vector function sufficiently differentiable. The classical theories of matrix pencils are first related to the solvability of singular systems. Then, the concepts of reachability, controllability, and observability of regular systems are extended to singular systems. Finally, the set of reachable states is described. The proposed matrix conditions for testing the controllability and observability of singular systems are simple and always feasible. 相似文献
2.
把抽象系统的能控性和能观测性推广到由强连续双半群描述的抽象边值系统,给出了相应的边值系统能控性的充要条件,并研究了能观测性与能控性之间的对偶关系.最后作为例子,研究了双曲系统能控性.文中所得的结果可用于讨论现代物理系统中出现一类边值系统的能控性与能观测性问题. 相似文献
3.
作者介绍了多种精确同步能观性,并对一维波动方程耦合组在多种边界条件下分别实现了精确边界同步能观性,分组精确边界同步能观性以及分组精确边界零能观性与同步能观性. 相似文献
4.
OnaSystemofMartixEquationsoveranArbitrarySkewField¥WangQingwen(Dept.ofMath.,ChangweiTeachersColleye,Weifang,Weifang,261043)Ab... 相似文献
5.
Lixin Yu 《Nonlinear Analysis: Theory, Methods & Applications》2010,72(12):4452-1087
In this paper, by means of a constructive method based on the existence and uniqueness of the semi-global C2 solution, we establish the local exact boundary observability for a kind of second order quasilinear hyperbolic systems. As an application, we obtain the one-sided local exact boundary observability for a kind of first order quasilinear hyperbolic systems of diagonal form with boundary conditions in which the diagonal variables corresponding to the positive eigenvalues and those corresponding to the negative eigenvalues are decoupled. 相似文献
6.
The aim of this paper is to define an extension of the controllability and observability for linear quaternion-valued systems (QVS). Some criteria for controllability and observability are derived, and the minimum norm control and duality theorem are also investigated. Compared with real-valued or complex-valued linear systems, it is shown that the classical Caylay-Hamilton Theorem as well as Popov-Belevitch-Hautus (PBH) type controllability and observability test do not hold for linear QVS. Hence, a modified PBH type necessary condition is studied for the controllability and observability, respectively. Finally, some examples are given to illustrate the effectiveness of the obtained results. 相似文献
7.
8.
Lixin Yu 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(4):1073-1087
In this paper, by means of a constructive method based on the existence and uniqueness of the semi-global classical solution, we establish the local exact boundary observability for a kind of second-order quasilinear hyperbolic system in which the number of positive eigenvalues and the number of negative ones are not equal. As an application, we obtain the one-sided local exact boundary observability and two-sided local exact boundary observability with fewer observed values for first-order quasilinear hyperbolic systems of diagonal form with boundary conditions in which the diagonal variables corresponding to the positive eigenvalues and those corresponding to the negative ones are decoupled. 相似文献
9.
Based on the theory of semi-global classical solutions to quasilinear hyperbolic systems, the authors apply a unified constructive method to establish the local exact boundary(null) controllability and the local boundary(weak) observability for a coupled system of 1-D quasilinear wave equations with various types of boundary conditions. 相似文献
10.
This paper studies the controllability and observability for a class of fractionalorder impulsive systems.First,the basic acknowledgement of fractional-order systems is presented.Then the solution of the fractional-order impulsive systems is given.Finally,necessary and sufficient criteria for controllability and observability are obtained. 相似文献
11.
A. I. Egorov 《Computational Mathematics and Mathematical Physics》2008,48(6):912-917
The observability problem for beam vibrations described by a fourth-order partial differential equation with various boundary conditions is considered. Dynamic observability problems are solved in terms of boundary conditions and observations of the beam state at certain fixed instants of time. 相似文献
12.
Peter Spreij 《Stochastics An International Journal of Probability and Stochastic Processes》2013,85(1-4):55-77
In this paper we consider stochastic systems with finite state space and counting process output. In particular we address the question whether a given system has a minimal representation, where roughly speaking minimality means minimality of the size of the state space. We show that minimality is connected to a suitably defined notion of observability. Finally we present an algorithm that enables us, starting from a given representation, to construct a minimal representation for the same system 相似文献
13.
广义严格对角占优矩阵在计算数学、数学物理、控制论等众多领域有着广泛而重要的应用.但实际判断一个矩阵是否为广义严格对角占优矩阵却是困难的.本文利用α-对角占优矩阵的性质,给出了广义严格对角占优矩阵的几个判定条件,扩大了判别范围. 相似文献
14.
15.
The state-space method is used to investigate the complete x- and y-relative observability of linear stationary singularly perturbed (LSSP) systems. Criteria, necessary conditions and sufficient conditions, phrased in terms of matrix ranks, are obtained for the observability; they involve the solutions of the defining equations, which are recurrent algebraic matrix equations. Duality principles are established between the LSSP observed and the control systems with coefficients of varying scales, the LSSP observed systems and LSSP control systems, and the governing equations for the observed and control systems. An example is given. 相似文献
16.
单输入单输出线性定常系统的状态空间按能控性和能观测性进行结构分解,能全面、完整的反映系统的各个子系统特性,理论上揭示状态空间的本质特征.通过规范性分解,不完全能控和不完全能观测的连续时间线性时不变系统可分解为"能控能观测","能控不能观测","不能控能观测","不能控不能观测"四个子空间,但是其分解后子空间的维度受非奇异变换矩阵P_c的影响.提出了一种约束变量的方法,用来选取P_c中列向量的规则,以控制原系统分解后子空间的表现形式.经实例验算,方法简单有效,具有一定的教学和理论意义. 相似文献
17.
Michel Mehrenberger 《Acta Mathematica Hungarica》2004,103(4):321-348
By applying the theory of semigroups, we generalize an earlier result of Komornik and Loreti [5] on the observability of compactly
perturbed systems. As an application, we answer a question of the same authors concerning the observability of weakly coupled
linear distributed systems.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
18.
Qilong GU 《数学年刊B辑(英文版)》2010,31(4):447-460
The author establishes the exact boundary observability of unsteady supercritical flows in a tree-like network of open canals with general topology. An implicit duality between the exact boundary controllability and the exact boundary observability is also given for unsteady supercritical flows. 相似文献
19.
设R是一个局部环,A是一个可相似对角化的n阶矩阵.利用矩阵方法研究了环R上矩阵A的广义逆半群的子集,得到了其做成正规子群的条件和其中元素可逆的条件,也得到了矩阵广义逆半群的一些性质. 相似文献
20.
Faker Ben Belgacem & Sidi-Mahmoud Kaber 《数学研究》2015,48(4):330-344
Observability Gramians of diffusion equations have been recently connected
to infinite Pick and Cauchy matrices. In fact, inverse or observability inequalities can
be obtained after estimating the extreme eigenvalues of these structured matrices,with
respect to the diffusion semi-group matrix. The purpose is hence to conduct a spectral
study of a subclass of symmetric Cauchy matrices and present an algebraic way to
show the desired observability results. We revisit observability inequalities for three
different observation problems of the diffusion equation and show how they can be
(re)stated through simple proofs. 相似文献