NEW RESULTS ON STABLE MULTIDIMENSIONAL POLYNOMIALS .3. STATE-SPACE INTERPRETATIONS

被引：9
作者：
BASU, S
机构：
[1] Department of Electrical Engineering, Stevens Institute of Technology, Hoboken
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS | 1991年 / 38卷 / 07期
关键词：
D O I：
10.1109/31.135747
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Lyapunov characterization of scattering Schur, reactance Schur, and immittance Schur properties of multidimensional polynomials are given. Since these polynomials arise in the description of passive systems, energy-like functions can be conveniently defined for such systems, thus making Lyapunov-type characterizations readily available. It is shown that the notion of modal observability and its further variants for multidimensional systems are necessary ingredients of such considerations. Two approaches are followed. One is essentially passive synthesis based, whereas the other is that of viewing multidimensional systems as parametric family of one-dimensional systems. A nontrivial example is included to illustrate the former method.
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收藏
页码：755 / 768
页数：14
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