## Abstract

We consider the stability of the feedback con-
nection 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.

Translated title of the contribution | An improved stability criterion for a class of Lur’e systems |
---|---|

Original language | English |

Title of host publication | Proceedings of the 46th IEEE Conference on Decision and Control |

Pages | 4483 - 4488 |

Number of pages | 6 |

Publication status | Published - Dec 2007 |