Remarks on the realization of time-varying systems

被引：0

作者：

Kotta, Ulle ^{[1
]}

Moog, Claude H. ^{[2
]}

Tonso, Maris ^{[1
]}

机构：

[1] Tallinn Univ Technol, Sch Informat Technol, Dept Software Sci, Akad Tee 21, EE-12618 Tallinn, Estonia

[2] UMR CNRS 6004, Lab Sci Numer Nantes, Nantes, France

来源：

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2018年 / 67卷 / 03期

关键词：

nonlinear control systems; time-varying systems; state-space realization; polynomial methods; NONLINEAR-SYSTEMS; FEEDBACK LINEARIZATION; DIFFERENTIAL-EQUATIONS; STATE REPRESENTATIONS; ALGEBRAIC FRAMEWORK;

D O I：

10.3176/proc.2018.3.02

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The realization problem of nonlinear time-varying input-output equations is considered. Differentials of the state coordinates, necessary for realization, are determined by the vector space of differential one-forms, spanned over the field of meromorphic functions. Formulas for computing the basis one-forms are given, based on the Euclidean division of non-commutative polynomials. Moreover, it is shown that in the case of a reducible system, the subspace admits a basis with certain structure, explicitly related to reduced input-output equations.

引用

页码：207 / 216

页数：10

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