TY - JOUR
T1 - The Circle Criterion and Input-to-State Stability
T2 - New perspectives on a classical result
AU - Jayawardhana, B
AU - Logemann, Hartmut
AU - Ryan, Eugene P
PY - 2011/8
Y1 - 2011/8
N2 - This article provides an overview of the circle criterion and its connection with ISS. Classical absolute stability theory and the circle criterion in particular, is concerned with the analysis of a feedback interconnection of Lure type, which consists of a linear system in the forward path and a sector-bounded nonlinearity in the negative feedback path. Classical absolute stability results are revis ited in the context of systems described by differential inclusions and within a framework based on the complex Aizerman conjecture. Contrast with the classical literature that is focused mainly on asymptotic stability of the feedback interconnection, ISS issues are addressed and resolved.
AB - This article provides an overview of the circle criterion and its connection with ISS. Classical absolute stability theory and the circle criterion in particular, is concerned with the analysis of a feedback interconnection of Lure type, which consists of a linear system in the forward path and a sector-bounded nonlinearity in the negative feedback path. Classical absolute stability results are revis ited in the context of systems described by differential inclusions and within a framework based on the complex Aizerman conjecture. Contrast with the classical literature that is focused mainly on asymptotic stability of the feedback interconnection, ISS issues are addressed and resolved.
UR - http://dx.doi.org/10.1109/mcs.2011.941143
U2 - 10.1109/mcs.2011.941143
DO - 10.1109/mcs.2011.941143
M3 - Article
SN - 1066-033X
VL - 31
SP - 32
EP - 67
JO - IEEE Control Systems Magazine
JF - IEEE Control Systems Magazine
IS - 4
ER -