Abstract
| Language | English |
|---|---|
| Journal | International Journal of Control |
| Early online date | 28 Jan 2019 |
| DOIs | |
| Status | E-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
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TY - JOUR
T1 - Stability and convergence properties of forced infinite-dimensional discrete-time Lur’e systems
AU - Gilmore, Max
AU - Guiver, Christopher
AU - Logemann, Hartmut
PY - 2019/1/28
Y1 - 2019/1/28
N2 - 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.
AB - 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.
U2 - 10.1080/00207179.2019.1575528
DO - 10.1080/00207179.2019.1575528
M3 - Article
JO - International Journal of Control
T2 - International Journal of Control
JF - International Journal of Control
SN - 0020-7179
ER -