TY - JOUR
T1 - A circle criterion for strong integral input-to-state stability
AU - Guiver, Christopher
AU - Logemann, Hartmut
PY - 2020/1/1
Y1 - 2020/1/1
N2 - We present sufficient conditions for integral input-to-state stability (iISS) and strong iISS of the zero equilibrium pair of continuous-time forced Lur'e systems, where by strong iISS we mean the conjunction of iISS and small-signal ISS. Our main results are reminiscent of the complex Aizerman conjecture and the well-known circle criterion. We derive a number of corollaries, including a result on stabilisation by static feedback in the presence of input saturation. In particular, we identify classes of forced Lur'e systems with saturating nonlinearities which are strongly iISS, but not ISS.
AB - We present sufficient conditions for integral input-to-state stability (iISS) and strong iISS of the zero equilibrium pair of continuous-time forced Lur'e systems, where by strong iISS we mean the conjunction of iISS and small-signal ISS. Our main results are reminiscent of the complex Aizerman conjecture and the well-known circle criterion. We derive a number of corollaries, including a result on stabilisation by static feedback in the presence of input saturation. In particular, we identify classes of forced Lur'e systems with saturating nonlinearities which are strongly iISS, but not ISS.
UR - https://www.scopus.com/pages/publications/85073718196
U2 - 10.1016/j.automatica.2019.108641
DO - 10.1016/j.automatica.2019.108641
M3 - Article
SN - 0005-1098
VL - 111
JO - Automatica
JF - Automatica
M1 - 108641
ER -