Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
ISSN-L : 1342-5668
Parametric Absolute Stability of Lur'e Systems
Teruyo WADAMasao IKEDAYuzo OHTADragoslav D. ŠILJAK
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1994 Volume 7 Issue 4 Pages 142-149


The concept of parametric absolute stability of Lur'e systems is defined. It provides a mathematical framework for solving the joint problem of feasibility and stability of equilibrium states of Lur'e systems with uncertain parameters and sectorial bounded nonlinearities. This problem arises since stability may be disturbed by the change of equilibrium states which is caused by the parameter variation. In this paper, we consider a single-input single-output Lur'e system, and present Popov-type sufficient conditions for parametric absolute stability. Although the condition contains the parameters, it can be tested by computing the value sets or a family of Popov plots.

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