ENTROPY FOR PRACTICAL STABILIZATION

被引：2

作者：

Colonius, Fritz ^{[1
]}

Hamzi, Boumediene ^{[2
]}

机构：

[1] Univ Augsburg, Inst Math, Augsburg, Germany

[2] Imperial Coll London, Dept Math, London, England

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2021年 / 59卷 / 03期

关键词：

practical stabilization; practical stabilization entropy; invariance entropy; FINITE-CAPACITY CHANNELS; MINIMAL BIT RATES; INVARIANCE ENTROPY; NONLINEAR-SYSTEMS; FEEDBACK;

D O I：

10.1137/20M1367775

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For deterministic continuous time nonlinear control systems, epsilon-practical stabilization entropy, and practical stabilization entropy are introduced. Here the rate of attraction is specified by a KL-function. Upper and lower bounds for the diverse entropies are proved, with special attention to exponential KL-functions. The relation to feedbacks is discussed; the linear case and several nonlinear examples are analyzed in detail.

引用

页码：2195 / 2222

页数：28

共 50 条

[21] MINIMAL BIT RATES AND ENTROPY FOR EXPONENTIAL STABILIZATION
Colonius, Fritz
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2012, 50 (05) : 2988 - 3010
[22] Stabilization of semiconductor surface reconstructions by configurational entropy
Romanyuk, O.
Grosse, F.
Proessdorf, A.
Braun, W.
Riechert, H.
PHYSICAL REVIEW B, 2010, 82 (12)
[23] Practical stabilization of systems with a fold control bifurcation
Hamzi, B
Krener, AJ
NEW TRENDS IN NONLINEAR DYNAMICS AND CONTROL, AND THEIR APPLICATIONS, 2003, 295 : 37 - 48
[24] Practical stability and stabilization of hybrid and switched systems
Xu, XP
Zhai, GS
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (11) : 1897 - 1903
[25] PRACTICAL APPROACHES TO LIGHT STABILIZATION OF POLYPROPYLENE MULTIFILAMENTS
BONKOWSK.JE
TEXTILE RESEARCH JOURNAL, 1969, 39 (03) : 243 - &
[26] Practical stabilization of receding-horizon control
Liu, BY
Gui, WH
Mu, M
JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY, 2001, 8 (04): : 268 - 271
[27] Practical stabilization of driftless systems on Lie groups
Morin, P
Samson, C
PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 4272 - 4277
[28] On practical stabilization of systems with delayed relay control
A. E. Polyakov
Automation and Remote Control, 2010, 71 : 2331 - 2344
[29] Practical stabilization of receding-horizon control
LIU Bi yu
Journal of Central South University of Technology(English Edition), 2001, (04) : 268 - 271
[30] On practical stabilization of systems with delayed relay control
Polyakov, A. E.
AUTOMATION AND REMOTE CONTROL, 2010, 71 (11) : 2331 - 2344

← 1 2 3 4 5 →