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|
|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|