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Infinite-dimensional feedback systems: the circle criterion and input-to-state stability. (English) Zbl 1168.93021
Summary: 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.

93D25 Input-output approaches in control theory
93B15 Realizations from input-output data
Full Text: DOI Euclid