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
收藏
页码：207 / 216
页数：10
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