Minimal Polynomial Realizations

被引：23

作者：

Bartosiewicz, Z. ^{[1
]}

机构：

[1] Bialystok Tech Univ, Bialystok, Poland

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 1988年 / 1卷 / 03期

关键词：

Polynomial systems; Realization theory; Algebraic observability; Minimal systems;

D O I：

10.1007/BF02551285

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies the problem of realizing input-output maps by polynomial continuous-time systems. This study requires a careful definition of the notions of systems and differential equations on an algebraic variety. A concept of minimality is also introduced, and a uniqueness result is proved.

引用

页码：227 / 237

页数：11

共 13 条

[1]

Baillieul J., 1980, Nonlinear Analysis Theory, Methods & Applications, V4, P879, DOI 10.1016/0362-546X(80)90002-4

[2] CONTROLLABILITY AND OBSERVABILITY OF POLYNOMIAL DYNAMICAL-SYSTEMS [J].