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 19 条

[1] STABILIZATION OF A CLASS OF NONLINEAR-SYSTEMS BY A SMOOTH FEEDBACK-CONTROL [J].

AEYELS, D .

SYSTEMS & CONTROL LETTERS, 1985, 5 (05) :289-294

[2] STABILIZATION WITH RELAXED CONTROLS [J].

ARTSTEIN, Z .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (11) :1163-1173

[3] LINEAR STABILIZABILITY OF PLANAR NONLINEAR-SYSTEMS [J].

BACCIOTTI, A ;

BOIERI, P .

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1990, 3 (02) :183-193

[4]

BACCIOTTI A, 1989, 3 DIP MAT POL TOR IN

[5]

BACCIOTTI A, IN PRESS PROGR SYSTE

[6]

BACCIOTTI A, 1989, P IFAC S NONLINEAR C, P161

[7]

BETHASH S, 1988, IEEE T AUTOMAT CONTR, V33, P585

[8] STABILIZATION OF NON-LINEAR CONTROL-SYSTEMS - THE ROLE OF NEWTON DIAGRAMS [J].

CROUCH, PE ;

IGHNEIWA, IS .

INTERNATIONAL JOURNAL OF CONTROL, 1989, 49 (03) :1055-1071

[9] ASYMPTOTIC STABILIZATION OF 2 DIMENSIONAL REAL ANALYTIC SYSTEMS [J].

DAYAWANSA, WP ;

MARTIN, CF .

SYSTEMS & CONTROL LETTERS, 1989, 12 (03) :205-211

[10]

Hahn W., 1967, STABILITY MOTION

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