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


Jayawardhana, B., Logemann, H. and Ryan, E. P., 2011. The Circle Criterion and Input-to-State Stability:New perspectives on a classical result. IEEE Control Systems Magazine, 31 (4), pp. 32-67.

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    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.


    Item Type Articles
    CreatorsJayawardhana, B., Logemann, H. and Ryan, E. P.
    DepartmentsFaculty of Science > Mathematical Sciences
    Research CentresCentre for Mathematical Biology
    Publisher StatementLogemann_IEEE-CS_2011_31_4_32.pdf: © 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works
    ID Code25691


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