EXTENSION IN THE HILBERT SPACE OF THE DIFFERENTIAL REALIZATION OF A COUNTABLE SET OF NONLINEAR "INPUT-OUTPUT" PROCESSES

被引：1

作者：

Rusanov, V. A. ^{[1
]}

Lakeyev, A. V. ^{[1
]}

Linke, Yu E. ^{[2
]}

机构：

[1] RAN, Siberian Branch, Inst Syst Dynam & Control Theory, Irkutsk, Russia

[2] Irkutsk State Tech Univ, Irkutsk, Russia

来源：

CYBERNETICS AND SYSTEMS ANALYSIS | 2015年 / 51卷 / 04期

关键词：

nonlinear "input-output" processes; nonlinear differential realization; nonstationary; (A; B; B#)(2)-model;

D O I：

10.1007/s10559-015-9751-8

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

We analyze the algebraic extensions of a countable family of nonlinear dynamic control processes having differential realization in the class of quasi-linear ordinary differential equations (with software-positional control and without it) in a separable Hilbert space.

引用

页码：603 / 608

页数：6

共 50 条

[1] About Extension of Differential Realization of the Countable Beam of Nonlinear Processes Input-Output in a Hilbert Space
Rusanov, V. A.
Lakeyev, A., V
Linke, Yu E.
[J]. 2014 INTERNATIONAL CONFERENCE ON AUTOMATIC CONTROL THEORY AND APPLICATION, 2014, : 75 - 77
[2] Solvability of differential realization of minimum dynamic order for a family of nonlinear input-output processes in Hilbert space
Rusanov, V. A.
Lakeev, A. V.
Linke, Yu E.
[J]. DIFFERENTIAL EQUATIONS, 2015, 51 (04) : 533 - 547
[3] Solvability of differential realization of minimum dynamic order for a family of nonlinear input-output processes in Hilbert space
V. A. Rusanov
A. V. Lakeev
Yu. E. Linke
[J]. Differential Equations, 2015, 51 : 533 - 547
[4] A differential realization of an input-output autonomous nonlinear system of minimal dynamic order in a Hilbert space
Rusanov, V. A.
Lakeev, A. V.
Linke, Yu. E.
[J]. DOKLADY MATHEMATICS, 2013, 88 (01) : 499 - 502
[5] A differential realization of an input-output autonomous nonlinear system of minimal dynamic order in a Hilbert space
V. A. Rusanov
A. V. Lakeev
Yu. È. Linke
[J]. Doklady Mathematics, 2013, 88 : 499 - 502
[6] Modelling of nonlinear systems from input-output data for state space realization
Foley, DC
Sadegh, N
[J]. PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 2980 - 2985
[7] Equivalence of different realization methods for higher order nonlinear input-output differential equations
Kotta, U
Mullari, T
[J]. EUROPEAN JOURNAL OF CONTROL, 2005, 11 (03) : 185 - 193
[8] INPUT-OUTPUT LINEARIZATION OF GENERAL NONLINEAR PROCESSES
HENSON, MA
SEBORG, DE
[J]. AICHE JOURNAL, 1990, 36 (11) : 1753 - 1757
[9] Realization of Nonlinear Time-Delay Input-Output Equations
Kaldmae, Arvo
Kotta, Ulle
Tonso, Maris
[J]. IEEE CONTROL SYSTEMS LETTERS, 2018, 2 (03): : 369 - 374
[10] REALIZATION OF NONLINEAR INPUT-OUTPUT EQUATIONS IN CONTROLLER CANONICAL FORM
Kaldmae, Arvo
Kotta, Ulle
[J]. KYBERNETIKA, 2018, 54 (04) : 736 - 747

← 1 2 3 4 5 →