CONSTRAINED CONTROLLABILITY OF LINEAR DISCRETE NONSTATIONARY SYSTEMS IN BANACH-SPACES

被引：3

作者：

PHAT, VN ^{[1
]}

DIEU, TC ^{[1
]}

机构：

[1] USSR ACAD SCI,CTR COMP,MOSCOW,USSR

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1992年 / 30卷 / 06期

关键词：

LINEAR DISCRETE SYSTEMS; CONSTRAINED CONTROLLABILITY; SET-VALUED MAPPINGS; INFINITE-DIMENSIONAL SYSTEMS;

D O I：

10.1137/0330069

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 local null-controllability of linear infinite-dimensional, nonstationary, discrete-time systems of the form x(k+1) = A(k)x(k) + B(k)u(k), u(k) is-an-element-of OMEGA subset-of U, x(k) is-an-element-of M(k) subset-of X, where X, U are Banach spaces; A(k), B(k) are linearbounded operators; M(k), OMEGA are given nonempty subsets. New necessary and sufficient conditions for local null-controllability are given. The main tool is the surjectivity theorem for convex multivalued mappings in Banach spaces.

引用

页码：1311 / 1318

页数：8

共 50 条

[21] Controllability of linear discrete systems in a Banach space. II
Minyuk, SA
DIFFERENTIAL EQUATIONS, 1999, 35 (12) : 1634 - 1643
[22] ADMISSIBLE CONTROLLABILITY FOR LINEAR RETARDED SYSTEMS IN BANACH SPACES.
Nakagiri, Shin-ichi
Memoirs of the Faculty of Engineering, Kobe University, 1983, (30): : 219 - 227
[23] Controllability of linear discrete systems in F-spaces
Gaishun, IV
DIFFERENTIAL EQUATIONS, 1997, 33 (05) : 610 - 616
[24] CONTROLLABILITY OF LINEAR NONSTATIONARY SYSTEMS
ZABELLO, LE
AUTOMATION AND REMOTE CONTROL, 1974, 34 (08) : 1208 - 1214
[25] CONTROLLABILITY OF LINEAR NONSTATIONARY SYSTEMS
KACZOREK, T
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES TECHNIQUES, 1970, 18 (12): : 999 - &
[26] On the constrained controllability of linear time-varying discrete systems
Benzaid, Z
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (03) : 608 - 612
[27] RANGE INCLUSION FOR CONVEX PROCESSES ON BANACH-SPACES - APPLICATIONS IN CONTROLLABILITY
CARJA, O
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 105 (01) : 185 - 191
[28] On the constrained controllability of stable linear time varying discrete systems
Benzaid, Z
PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 2068 - 2072
[29] STRONG ASYMPTOTIC STABILITY OF LINEAR DYNAMICAL-SYSTEMS IN BANACH-SPACES
HUANG, F
JOURNAL OF DIFFERENTIAL EQUATIONS, 1993, 104 (02) : 307 - 324
[30] OPTIMAL-CONTROL OF LINEAR RETARDED-SYSTEMS IN BANACH-SPACES
NAKAGIRI, S
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 120 (01) : 169 - 210

← 1 2 3 4 5 →