Algebraic formalism of differential one-forms for nonlinear control systems on time scales

被引：0

作者：

Bartosiewicz, Zbigniew ^{[2
]}

Kotta, Uelle ^{[1
]}

Pawluszewicz, Ewa ^{[2
]}

Wyrwas, Malgorzata ^{[1
]}

机构：

[1] Tallinn Univ Technol, Inst Cybernet, EE-12618 Tallinn, Estonia

[2] Bialystok Tech Univ, Fac Comp Sci, PL-15333 Bialystok, Poland

来源：

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES-PHYSICS MATHEMATICS | 2007年 / 56卷 / 03期

关键词：

time scale; nonlinear system; differential field; one-form; inversive closure;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper develops algebraic formalism of differential one-forms, associated with the nonlinear control system defined on homogeneous time scales. This formalism unifies the existing theories for continuous- and discrete-time systems. A field of meromorphic functions, corresponding to a control system, is introduced. It is equipped with two operators whose properties are studied. An inversive closure of this field is constructed with the aid of one-forms.

引用

页码：264 / 282

页数：19

共 20 条

[1] Linearization of discrete-time systems
ArandaBricaire, E
Kotta, U
Moog, CH
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1996, 34 (06) : 1999 - 2023
[2] AULBACH B, 1990, MATH RES, V59, P9
[3] BARTOSIEWICZ Z, 2006, P 16 IFAC C PRAG CZE
[4] BARTOSIEWICZ Z, 2005, P 11 IEEE INT C METH, P287
[5] Bartosiewicz Z, 2006, CONTROL CYBERN, V35, P769
[6] An introduction to pseudo-linear algebra
Bronstein, M
Petkovsek, M
[J]. THEORETICAL COMPUTER SCIENCE, 1996, 157 (01) : 3 - 33
[7] COHN RM, 1965, DIFFERENCE ALGEBRA
[8] Fausett Laurene V., 2004, NONLINEAR STUD, V11, P627
[9] A LINEAR ALGEBRAIC FRAMEWORK FOR THE ANALYSIS OF DISCRETE-TIME NONLINEAR-SYSTEMS
GRIZZLE, JW
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1993, 31 (04) : 1026 - 1044
[10] Integrable equations on time scales -: art. no. 113510
Gürses, M
Guseinov, GS
Silindir, B
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (11)

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