Controllability of Discrete Time Bilinear Systems in Finite and Infinite Dimensional Spaces

被引：13

作者：

Alami Louati, Driss ^{[1
]}

Ouzahra, Mohamed ^{[2
]}

机构：

[1] Univ Sidi Mohamed Ben Abdallah, Fac Sci Dhar Mahraz, Dept Math, LAMA, Fes, Morocco

[2] Univ Sidi Mohamed Ben Abdallah, Dept Math, ENS, Fes, Morocco

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2014年 / 59卷 / 09期

关键词：

Controllability; discrete time bilinear system; near-controllability;

D O I：

10.1109/TAC.2014.2304392

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 the first instance, we prove that in a Banach state space of infinite dimensional; discrete bilinear systems are uncontrollable and we examine the control of the projections of the state on finite-dimensional subspaces. Then we generalize finite-dimensional results on near-controllability established by Tie and Cai in [21] and [22]. Finally, we provide illustrative examples.

引用

页码：2491 / 2495

页数：5

共 50 条

[21] Controllability of the Fractional Discrete Linear Time-varying Infinite-dimensional Systems
Klamka, Jerzy
Niezabitowski, Michal
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015), 2016, 1738
[22] Controllability and near-controllability of a class of discrete-time inhomogeneous bilinear systems
Tie, Lin
INTERNATIONAL JOURNAL OF CONTROL, 2021, 94 (11) : 3022 - 3037
[23] Stabilizability of Finite- and Infinite-Dimensional Bilinear Systems
Banks, S. P.
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 1986, 3 (04) : 255 - 271
[24] Controllability to zero of positive bilinear discrete-time systems with delays
Kaczorek, Tadeusz
PROCEEDINGS OF 2006 MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1 AND 2, 2006, : 968 - 972
[25] On Controllability of a Class of Two-dimensional Multi-input Discrete-time Bilinear Systems
Tie Lin
2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 890 - 893
[26] FINITE AND INFINITE DIMENSIONAL BILINEAR REALIZATIONS
BROCKETT, RW
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1976, 301 (06): : 509 - 520
[27] CONTROLLABILITY OF A DISCRETE-TIME BILINEAR SYSTEM
MURTHY, DNP
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (06) : 974 - 975
[28] CONTROLLABILITY OF DISCRETE BILINEAR SYSTEMS WITH BOUNDED CONTROL
TARN, TJ
ELLIOTT, DL
GOKA, T
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1973, AC18 (03) : 298 - 301
[29] Feedback stabilisation of infinite-dimensional bilinear systems with discrete delay
Cheddour, Ayoub
El Azzouzi, Abdelhai
Ouzahra, Mohamed
INTERNATIONAL JOURNAL OF CONTROL, 2023, 96 (01) : 58 - 73
[30] Geometric criteria for controllability and near-controllability of driftless discrete-time bilinear systems
Tie, Lin
ASIAN JOURNAL OF CONTROL, 2024, 26 (01) : 436 - 445

← 1 2 3 4 5 →