The Circle Criterion and Input-to-State Stability: New perspectives on a classical result

B Jayawardhana; Hartmut Logemann; Eugene P Ryan

doi:10.1109/mcs.2011.941143

The Circle Criterion and Input-to-State Stability: New perspectives on a classical result

B Jayawardhana, Hartmut Logemann, Eugene P Ryan

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Abstract

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.

Original language	English
Pages (from-to)	32-67
Number of pages	36
Journal	IEEE Control Systems Magazine
Volume	31
Issue number	4
DOIs	https://doi.org/10.1109/mcs.2011.941143
Publication status	Published - Aug 2011

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The Circle Criterion and Input-to-State Stability: New perspectives on a classical result

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