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

[1] Minimal realization of completely decidable linear differential equations
Gaishun, IV
Goryachkin, VV
AUTOMATION AND REMOTE CONTROL, 2003, 64 (03) : 390 - 398
[2] Minimal realization of completely decidable linear differential systems of observation
Gajshun, I.V.
Goryachkin, V.V.
Avtomatika i Telemekhanika, 2003, (03): : 52 - 60
[3] LINEAR COMPLETELY INTEGRABLE PARTIAL DIFFERENTIAL EQUATIONS
JOHNSON, HH
AMERICAN MATHEMATICAL MONTHLY, 1967, 74 (05): : 548 - &
[4] COMPLETELY INTEGRABLE PARTIAL DIFFERENTIAL EQUATIONS IN NORMED LINEAR SPACES
MICHAL, AD
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1953, 39 (10) : 1089 - 1094
[5] Minimal solution of fuzzy linear system of differential equations
Mosleh, Maryam
Otadi, Mahmood
NEURAL COMPUTING & APPLICATIONS, 2012, 21 : S329 - S336
[6] Minimal solution of fuzzy linear system of differential equations
Maryam Mosleh
Mahmood Otadi
Neural Computing and Applications, 2012, 21 : 329 - 336
[7] The complete integrability of the linear approximation equations for completely integrable quasilinear total differential equations
Makarov, EK
DIFFERENTIAL EQUATIONS, 2000, 36 (12) : 1789 - 1793
[8] The Complete Integrability of the Linear Approximation Equations for Completely Integrable Quasilinear Total Differential Equations
E. K. Makarov
Differential Equations, 2000, 36 : 1789 - 1793
[9] On a certain completely integrable system of linear partial differential equations.
Wilczynski, EJ
AMERICAN JOURNAL OF MATHEMATICS, 1914, 36 : 231 - 260
[10] MINIMAL REALIZATION OF A DIFFERENTIAL SYSTEM
SHAMASH, Y
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1975, 6 (07) : 645 - 652

← 1 2 3 4 5 →