Stability and convergence properties of forced infinite-dimensional discrete-time Lur’e systems

Max Gilmore, Christopher Guiver, Hartmut Logemann

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
20 Downloads (Pure)

Abstract

Incremental stability and convergence properties for forced, infinite-dimensional, discrete-time Lur'e systems are addressed. Lur'e systems have a linear and nonlinear component and arise as the feedback interconnection of a linear control system and a static nonlinearity. Discrete-time Lur'e systems arise in, for example, sampled-data control and integro-difference models. We provide conditions, reminiscent of classical absolute stability criteria, which are sufficient for a range of incremental stability properties and input-to-state stability (ISS). Consequences of our results include sufficient conditions for the converging-input converging-state (CICS) property, and convergence to periodic solutions under periodic forcing.
Original languageEnglish
Pages (from-to)3026-3049
JournalInternational Journal of Control
Volume93
Issue number12
Early online date22 Feb 2019
DOIs
Publication statusPublished - 2020

Fingerprint

Dive into the research topics of 'Stability and convergence properties of forced infinite-dimensional discrete-time Lur’e systems'. Together they form a unique fingerprint.

Cite this