Entropy for practical stabilization
File(s)
Accepted version
Author(s)
Colonius, Fritz
Hamzi, Boumediene
Type
Working Paper
Abstract
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. Two scalar examples are analyzed in detail.
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. Two scalar examples are analyzed in detail.
Date Issued
2020-12-21
Citation
2020
Publisher
arXiv
Copyright Statement
© 2020 The Author(s).
Identifier
http://arxiv.org/abs/2009.08187v2
Subjects
math.OC
math.OC
math.DS
93D15, 37B40, 94A17
Notes
Section 4: Relations to Feedbacks of the previous version has been deleted, since the results were not correct. 21 pages
Publication Status
Published