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2008 Infinite-Dimensional Feedback Systems: the Circle Criterion and Input-to-State Stability
Bayu Jayawardhana, Hartmut Logemann, Eugene P. Ryan
Commun. Inf. Syst. 8(4): 413-444 (2008).

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.

Citation

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Bayu Jayawardhana. Hartmut Logemann. Eugene P. Ryan. "Infinite-Dimensional Feedback Systems: the Circle Criterion and Input-to-State Stability." Commun. Inf. Syst. 8 (4) 413 - 444, 2008.

Information

Published: 2008
First available in Project Euclid: 6 May 2009

zbMATH: 1168.93021
MathSciNet: MR2495748

Rights: Copyright © 2008 International Press of Boston

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Vol.8 • No. 4 • 2008
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