Invariant cones and convex sets for bilinear control systems and parabolic type of semigroups

被引：4

作者：

Do Rocio, O. G.

San Martin, L. A. B.

Santana, A. J.

机构：

[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil

[2] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP, Brazil

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2006年 / 12卷 / 03期

基金：

巴西圣保罗研究基金会;

关键词：

controllability; bilinear systems; invariant cones; semigroups; invariant control sets;

D O I：

10.1007/s10450-006-0007-9

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies invariant cones for bilinear control systems and relates them to the controllability of the system. The full picture is provided by the parabolic type of a semigroup.

引用

页码：419 / 432

页数：14

共 12 条

[1]

BARROS CJB, 1996, PROYECCIONES-ANTOFAG, V15, P111

[2] TRANSITIVITY PROBLEM FROM CONTROL-THEORY [J].

BOOTHBY, WM .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1975, 17 (02) :296-307

[3] Connected components of open semigroups in semi-simple Lie groups [J].

do Rocio, OG ;

San Martin, LAB .

SEMIGROUP FORUM, 2004, 69 (01) :1-29

[4] On invariant orthants of bilinear systems [J].

Sachkov Yu.L. .

Journal of Dynamical and Control Systems, 1998, 4 (1) :137-147

[5]

San Martin L. A. B., 1998, J LIE THEORY, V8, P111

[6]

San Martin L.A.B., 2001, T AM MATH SOC, V353, P5165

[7] The homotopy type of Lie semigroups in semi-simple Lie groups [J].

San Martin, LAB ;

Santana, AJ .

MONATSHEFTE FUR MATHEMATIK, 2002, 136 (02) :151-173

[8] Nonexistence of invariant semigroups in affine symmetric spaces [J].

San Martin, LAB .

MATHEMATISCHE ANNALEN, 2001, 321 (03) :587-600

[9]

San Martin LAB, 2001, SYST CONTROL LETT, V43, P53, DOI 10.1016/S0167-6911(01)00095-0

[10]

SANMARTIN L, 1993, MATH CONTROL SIGNAL, V6, P41, DOI 10.1007/BF01213469

← 1 2 →