Infinite-Dimensional Feedback Systems: the Circle Criterion and Input-to-State Stability
Bayu Jayawardhana, Hartmut Logemann, and Eugene P. Ryan
Source: Commun. Inf. Syst.
Volume 8, Number 4
An input-to-state stability theory, which subsumes results of circle criterion type, is
developed in the context of a class of infinite-dimensional systems. The generic system is of Lur’e
type: a feedback interconnection of a well-posed infinite-dimensional linear system and a nonlinearity.
The class of nonlinearities is subject to a (generalized) sector condition and contains, as particular
subclasses, both static nonlinearities and hysteresis operators of Preisach type.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.cis/1241616527
Zentralblatt MATH identifier: 05588897
Mathematical Reviews number (MathSciNet): MR2495748