STATE-SPACE MODELING OF TWO-DIMENSIONAL VECTOR-EXPONENTIAL TRAJECTORIES

被引：5

作者：

Rapisarda, P. ^{[1
]}

Antoulas, A. C. ^{[2
,3
]}

机构：

[1] Univ Southampton, Sch Elect & Comp Sci, Vis Learning & Control Grp, Southampton SO17 1BJ, Hants, England

[2] Rice Univ, Dept Elect & Comp Engn, Houston, TX 77005 USA

[3] Jacobs Univ Bremen, Sch Sci & Engn, Bremen, Germany

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2016年 / 54卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

multidimensional systems; most powerful unfalsified model; Roesser models; bilinear differential forms; MULTIDIMENSIONAL BEHAVIORS; INTERPOLATION PROBLEM; DISTRIBUTED SYSTEMS; 2D SYSTEMS; IDENTIFICATION; LOSSLESS; FORMS;

D O I：

10.1137/15M1031837

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We solve two problems in modeling polynomial vector-exponential trajectories dependent on two independent variables. In the first one we assume that the data-generating system has no inputs, and we compute a state representation of the most powerful unfalsified model for this data. In the second instance we assume that the data-generating system is controllable and quarter-plane causal, and we compute a Roesser input-state-output model. We provide procedures for solving these identification problems, both based on the factorization of constant matrices directly constructed from the data, from which state trajectories can be computed.

引用

页码：2734 / 2753

页数：20

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