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
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
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