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Measure-Theoretic Invariance Entropy for Control Systems
Tao Wang1; Yu Huang1; Hai-Wei Sun2
2019
Source PublicationSIAM Journal on Control and Optimization
ISSN0363-0129
Volume57Issue:1Pages:310-333
Abstract

We introduce two types of measure-theoretic invariance entropies for topological time-invariant control systems. It is shown that these entropies are invariant under conjugacies and there exists a generator for them. We also illustrate that invariance entropies are determined by measure-theoretic invariance entropies. More importantly, we establish two variational principles between topological and measure-theoretic invariance entropies in some special situations.

KeywordInvariance Entropy Variational Principle Packing Invariance Entropy Measure-theoretic Invariance Entropy Invariant Partition
DOIhttps://doi.org/10.1137/18M1197862
Indexed BySCI
Language英语
WOS Research AreaAutomation & Control Systems ; Mathematics
WOS SubjectAutomation & Control Systems ; Mathematics, Applied
WOS IDWOS:000460129700013
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Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorYu Huang
Affiliation1.Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China
2.Univ Macau, Dept Math, Zhuhai, Macao, Peoples R China
Recommended Citation
GB/T 7714
Tao Wang,Yu Huang,Hai-Wei Sun. Measure-Theoretic Invariance Entropy for Control Systems[J]. SIAM Journal on Control and Optimization,2019,57(1):310-333.
APA Tao Wang,Yu Huang,&Hai-Wei Sun.(2019).Measure-Theoretic Invariance Entropy for Control Systems.SIAM Journal on Control and Optimization,57(1),310-333.
MLA Tao Wang,et al."Measure-Theoretic Invariance Entropy for Control Systems".SIAM Journal on Control and Optimization 57.1(2019):310-333.
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