Residential College | false |
Status | 已發表Published |
BS Invariance Pressures for Control Systems | |
Xingfu Zhong1; · Yu Huang2; Hai-Wei Sun3 | |
2023-03-11 | |
Source Publication | Journal of Dynamical and Control Systems |
ISSN | 1079-2724 |
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. |
Keyword | Bs Invariance Pressure Invariance Pressure Formula Inverse Variational Principle Measure-theoretic Invariance Pressure |
DOI | 10.1007/s10883-023-09643-3 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Automation & Control Systems ; Mathematics |
WOS Subject | Automation & Control Systems ; Mathematics, Applied |
WOS ID | WOS:000946938200001 |
Publisher | SPRINGER/PLENUM PUBLISHERS |
Scopus ID | 2-s2.0-85149796367 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | Faculty of Science and Technology DEPARTMENT OF MATHEMATICS |
Corresponding Author | Xingfu Zhong |
Affiliation | 1.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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