Koopman Resolvents

Yoshihiko Susuki ()
Additional contact information
Yoshihiko Susuki: Kyoto University, Katsura

Chapter 103 in Operator Theory, 2026, pp 3119-3141 from Springer

Abstract: Abstract The Koopman operator framework provides a new direction to the analysis and synthesis of systems with complex dynamics. This chapter provides a comprehensive review of exploiting resolvent operators for Koopman operators, also known as Koopman resolvents, with the aim of understanding complex dynamical systems and their connection to numerical methods that directly estimate the properties from data. Existing literature and open problems are also provided.

Keywords: Koopman operator; Resolvent operator; Spectral properties; Laplace transform; z-transform; Numerical methods (search for similar items in EconPapers)
Date: 2026
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-032-16356-1_123

Ordering information: This item can be ordered from
http://www.springer.com/9783032163561

DOI: 10.1007/978-3-032-16356-1_123

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().