A CHARACTERIZATION OF SINGLE-INPUT PLANAR BILINEAR-SYSTEMS WHICH ADMIT A SMOOTH STABILIZER

被引：11

作者：

BACCIOTTI, A ^{[1
]}

BOIERI, P ^{[1
]}

机构：

[1] POLITECN TORINO, DIPARTMENTO MATEMAT, I-10129 TURIN, ITALY

来源：

SYSTEMS & CONTROL LETTERS | 1991年 / 16卷 / 02期

关键词：

BILINEAR SYSTEMS; STABILIZABILITY; SMOOTH FEEDBACK;

D O I：

10.1016/0167-6911(91)90008-3

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we study single-input bilinear systems in the plane. We give a complete characterization of the systems which admit a local asymptotic smooth stabilizer. The stabilizing feedback laws, when they exist, are shown to be polynomials of degree not greater than two.

引用

页码：139 / 144

页数：6

共 50 条

[1] STABILIZATION OF SINGLE-INPUT BILINEAR SYSTEMS.
Yasuda, Kazunori
Hirai, Kazumasa
Memoirs of the Faculty of Engineering, Kobe University, 1977, (23): : 39 - 44
[2] STABILIZATION OF PLANAR BILINEAR-SYSTEMS
CHABOUR, R
VIVALDA, JC
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1991, 312 (13): : 1017 - 1020
[3] THE CONTROLLABILITY OF PLANAR BILINEAR-SYSTEMS
KODITSCHEK, DE
NARENDRA, KS
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (01) : 87 - 89
[4] On the discretization of single-input single-output bilinear systems
Dunoyer, A
Balmer, L
Burnham, KJ
James, DJG
INTERNATIONAL JOURNAL OF CONTROL, 1997, 68 (02) : 361 - 372
[5] THE CONTROLLABILITY OF PLANAR BILINEAR-SYSTEMS - REPLY
KODITSCHEK, DE
NARENDRA, KS
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (06) : 768 - 768
[6] ON THE CHOICE OF INPUT FOR OBSERVABILITY IN BILINEAR-SYSTEMS
SEN, P
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (02) : 451 - 454
[7] THE CONTROLLABILITY OF PLANAR BILINEAR-SYSTEMS - COMMENTS
PIECHOTTKA, U
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (06) : 767 - 767
[8] Nonlinearizable single-input control systems do not admit stationary symmetries
Respondek, W
Tall, IA
SYSTEMS & CONTROL LETTERS, 2002, 46 (01) : 1 - 16
[9] Structural control of single-input rank one bilinear systems
Ghosh, Supratim
Ruths, Justin
AUTOMATICA, 2016, 64 : 8 - 17
[10] Invariance Kernels of Single-Input Planar Nonlinear Systems
Maggiore, Manfredi
Rawn, Barry
Lehn, Peter
2011 AMERICAN CONTROL CONFERENCE, 2011,

← 1 2 3 4 5 →