Communications in Information and Systems

Volume 8 (2008)

Number 4

Infinite-Dimensional Feedback Systems: the Circle Criterion and Input-to-State Stability

Pages: 413 – 444

DOI: http://dx.doi.org/10.4310/CIS.2008.v8.n4.a4

Authors

Bayu Jayawardhana

Hartmut Logemann

Eugene P. Ryan

Abstract

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.

Keywords

Absolute stability; circle criterion; hysteresis; input-to-state stability; well-posed infinite-dimensional systems

Full Text (PDF format)