Further results on the boundedness of multidimensional systems

被引:5
作者
Zhou, Tong [1 ]
机构
[1] Tsinghua Univ, Dept Automat & TNList, Beijing 100084, Peoples R China
基金
中国国家自然科学基金;
关键词
Kalman-Yakubovich-Popov lemma; Linear matrix inequality; Multidimensional system; Multi-input multi-output system; Spectral masks; Temporal-spatial system; YAKUBOVICH-POPOV LEMMA; FIR FILTER DESIGN; DISTRIBUTED CONTROL; S-PROCEDURE; STABILITY;
D O I
10.1016/j.sysconle.2009.09.003
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A sufficient condition is derived in this paper for the boundedness of a linear time invariant (LTI) multidimensional (MD) dynamic system over a special class of frequency domains. These frequency domains are able to include many practically adopted frequency domains, such as fans, rectangles, etc., as a special situation, as well as to give an approximation with a tolerable accuracy to many other physically significant frequency domains like ellipsoids and diamonds. This condition becomes also necessary when the prescribed frequency domain is path-connected. Moreover, it is expressed in a linear matrix inequality (LMI) form and can be directly applied to the optimization of system output matrix and direct transmission matrix, as well as the minimization of the frequency response bound. In addition, the dimension of the LMI is in the same order as that of the system matrices. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:818 / 825
页数:8
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