Minimal Realization of Completely Decidable Linear Differential Equations

被引：0

作者：

I. V. Gaishun

V. V. Goryachkin

机构：

[1] Institute of Mathematics,Belarussian National Academy of Sciences

[2] Belarussian State University,undefined

来源：

Automation and Remote Control | 2003年 / 64卷

关键词：

Differential Equation; Mechanical Engineer; Phase Space; Linear System; System Theory;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For a linear system S in total differentials (Pfaff system), proposed was a procedure of constructing its minimal realization S0, that is, the Pfaff vector equation such that its phase space has the least dimensionality if the set of its output functions coincides with the family of the outputs of S.

引用

页码：390 / 398

页数：8

共 50 条

[21] Algorithm for minimal realization of linear multivariable systems
1600, Taylor and Francis Ltd. (20):
[22] Minimal Realization Problems for Jump Linear Systems
Sarkar, T.
Roozbehani, M.
Dahleh, M. A.
2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 5670 - 5675
[23] Minimal multi realization of MIMO linear systems
Su, SW
Anderson, BDO
Brinsmead, TS
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (04) : 690 - 695
[24] Completely integrable differential equations in abstract spaces
Michal, AD
Elconin, V
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1935, 21 : 534 - 536
[25] Growth of Solutions of Second Order Linear Complex Differential Equations with Completely Regular Growth Coefficient
Zhang, Guowei
ENGINEERING LETTERS, 2021, 29 (01) : 232 - 237
[26] On the linear dependence of functions of several variables, and certain completely integrable systems of partial differential equations
Green, GM
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1916, 2 : 209 - 214
[27] A QUESTION OF GOL'DBERG AND OSTROVSKII CONCERNING LINEAR DIFFERENTIAL EQUATIONS WITH COEFFICIENTS OF COMPLETELY REGULAR GROWTH
Bergweiler, Walter
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, : 2097 - 2101
[28] Completely integrable differential equations in abstract spaces
Michal, AD
Elconin, V
ACTA MATHEMATICA, 1937, 68 (01) : 71 - 107
[29] Modular linear differential equations of fourth order and minimal W-algebras
Kawasetsu, Kazuya
Sakai, Yuichi
JOURNAL OF ALGEBRA, 2018, 506 : 445 - 488
[30] The Completely Integrable Differential Systems are Essentially Linear Differential Systems
Jaume Llibre
Claudia Valls
Xiang Zhang
Journal of Nonlinear Science, 2015, 25 : 815 - 826

← 1 2 3 4 5 →