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 - 2020
Y1 - 2020
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
VL - 93
SP - 3026
EP - 3049
JO - International Journal of Control
JF - International Journal of Control
SN - 0020-7179
IS - 12
ER -