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

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