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 |
| Pages | 4483 - 4488 |
| Number of pages | 6 |
| DOIs | |
| Publication status | Published - Dec 2007 |
Bibliographical note
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
Keywords
- absolute stability
- quadratic program
- Lur'e systems