Abstract
This paper is concerned with the application of quadratic differential forms (QDF's) to robust stability analysis of a linear system with parametric uncertainty. The QDF plays an important role in the Lyapunov stability theory in the behavioral framework. By using QDF's, we derive an LMI condition for robust stability of a linear uncertain system described by a high-order differential-algebraic equation. This condition guarantees the existence of a parameter-dependent Lyapunov function which allows less conservative analysis. We also show that, when applied to a state-space model, the present condition recovers some existing robust stability conditions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
