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An improved stability criterion for a class of Lur'e systems

Research output: Contribution to conferenceAbstract

  • Guang Li
  • William P Heath
  • Barry Lennox
Original languageEnglish
Pages4483 - 4488
StatePublished - Dec 2007


We consider the stability of the feedback connection of a linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program. By generalizing the class of candidate Lyapunov functions we improve on existing results in the literature. A Lyapunov function is constructed via the S-procedure from quadratic constraints established using the Karush-Kuhn-Tucker (KKT) conditions. The stability criterion can be expressed as a linear matrix inequality (LMI) condition. We discuss some simple examples that demonstrate the improved results.

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Terms of use: ©2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. Name of Conference: 46 IEEE Conference on Decision and Control Venue of Conference: New Orleans, LA, USA

Research areas

  • absolute stability, quadratic program, Lur'e systems

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