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

Max Gilmore, Christopher Guiver, Hartmut Logemann

Research output: Contribution to journal › Article

2 Citations (Scopus)
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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
JournalInternational Journal of Control
Early online date28 Jan 2019
DOIs
Publication statusE-pub ahead of print - 28 Jan 2019

Cite this

Stability and convergence properties of forced infinite-dimensional discrete-time Lur’e systems. / Gilmore, Max; Guiver, Christopher; Logemann, Hartmut.

In: International Journal of Control, 28.01.2019.

Research output: Contribution to journal › Article

Gilmore, M, Guiver, C & Logemann, H 2019, 'Stability and convergence properties of forced infinite-dimensional discrete-time Lur’e systems', International Journal of Control. https://doi.org/10.1080/00207179.2019.1575528
Gilmore M, Guiver C, Logemann H. Stability and convergence properties of forced infinite-dimensional discrete-time Lur’e systems. International Journal of Control. 2019 Jan 28. https://doi.org/10.1080/00207179.2019.1575528
Gilmore, Max ; Guiver, Christopher ; Logemann, Hartmut. / Stability and convergence properties of forced infinite-dimensional discrete-time Lur’e systems. In: International Journal of Control. 2019.
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