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
收藏
页码：2195 / 2222
页数：28
相关论文
共 50 条
  • [41] Structure stabilization effect of configuration entropy in cubic WN
    Xing, Wandong
    Zhang, Yang
    Meng, Fanyan
    Wang, Changchun
    Tao, Qiang
    Zhu, Pinwen
    Zhu, Jing
    Yu, Rong
    PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 2018, 20 (46) : 29243 - 29248
  • [42] The importance of the vibrational entropy in the mixing stabilization for complex ceramics
    Tang, Xiaochuan
    Thompson, Gregory B.
    Weinberger, Christopher R.
    JOURNAL OF THE AMERICAN CERAMIC SOCIETY, 2024,
  • [43] Markov chains, entropy, and fundamental limitations in nonlinear stabilization
    Mehta, Prashant G.
    Vaidya, Umesh
    Banaszuk, Andrzej
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 5227 - 5227
  • [44] The importance of the vibrational entropy in the mixing stabilization for complex ceramics
    Tang, Xiaochuan
    Thompson, Gregory B.
    Weinberger, Christopher R.
    Journal of the American Ceramic Society, 2024,
  • [45] Structure stabilization effect of vacancies and entropy in hexagonal WN
    Han, Yingna
    Xing, Wandong
    Yu, Rong
    Meng, Fanyan
    ACTA CRYSTALLOGRAPHICA SECTION B-STRUCTURAL SCIENCE CRYSTAL ENGINEERING AND MATERIALS, 2022, 78 : 678 - 684
  • [46] THE PRACTICAL FEEDBACK STABILIZATION FOR EVOLUTION EQUATIONS IN BANACH SPACES
    Hanen, Damak
    ACTA MECHANICA ET AUTOMATICA, 2021, 15 (02) : 58 - 65
  • [47] Practical aspects of system stabilization with minimum data rates
    Liang, YP
    Dewasurendra, D
    Bauer, P
    IECON 2005: THIRTY-FIRST ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY, VOLS 1-3, 2005, : 95 - 100
  • [48] Path tracking and a practical point stabilization of mobile robot
    Sun, SL
    Cui, PY
    ROBOTICS AND COMPUTER-INTEGRATED MANUFACTURING, 2004, 20 (01) : 29 - 34
  • [49] PRACTICAL STABILIZATION OF CONTROL-SYSTEMS WITH IMPULSE EFFECTS
    LIU, XZ
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 166 (02) : 563 - 576
  • [50] PRACTICAL STABILIZATION OF A CLASS OF UNCERTAIN NONLINEAR-SYSTEMS
    MYSZKOROWSKI, P
    SYSTEMS & CONTROL LETTERS, 1992, 18 (03) : 233 - 236
12345