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BS Invariance Pressures for Control Systems
Xingfu Zhong1; · Yu Huang2; Hai-Wei Sun3
2023-03-11
Source PublicationJournal of Dynamical and Control Systems
ISSN1079-2724
Abstract

Three types of BS inner invariance pressures for control systems, as well as three versions of measure-theoretic BS inner invariance pressures, are introduced in this paper. We show that those BS inner invariance pressures are equivalent for the strongly invariant sets. Moreover, it is confirmed that they are the roots of Bowen’s equations for control systems. Then, we can further obtain an inverse variational principle for the measure-theoretic BS inner invariance pressure. Finally, a type of upper capacity BS invariance pressure and an explicit formula are presented for computing this invariance pressure of controlled invariant sets under some reasonable assumptions.

KeywordBs Invariance Pressure Invariance Pressure Formula Inverse Variational Principle Measure-theoretic Invariance Pressure
DOI10.1007/s10883-023-09643-3
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaAutomation & Control Systems ; Mathematics
WOS SubjectAutomation & Control Systems ; Mathematics, Applied
WOS IDWOS:000946938200001
PublisherSPRINGER/PLENUM PUBLISHERS
Scopus ID2-s2.0-85149796367
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Citation statistics
Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorXingfu Zhong
Affiliation1.School of Mathematics and Statistics,Guangdong University of Foreign Studies,Guangzhou,510006,China
2.School of Mathematics,Sun Yat-sen University,Guangzhou,510275,China
3.Department of Mathematics,University of Macau,Macao
Recommended Citation
GB/T 7714
Xingfu Zhong,· Yu Huang,Hai-Wei Sun. BS Invariance Pressures for Control Systems[J]. Journal of Dynamical and Control Systems, 2023.
APA Xingfu Zhong., · Yu Huang., & Hai-Wei Sun (2023). BS Invariance Pressures for Control Systems. Journal of Dynamical and Control Systems.
MLA Xingfu Zhong,et al."BS Invariance Pressures for Control Systems".Journal of Dynamical and Control Systems (2023).
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