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Geometrical approach to parameter dependent Lyapunov functions

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 13 Nov 2002Publisher:IEEEJournal:Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), volume 5, pages 5,071-5,072
Authors: Akihiro Ogata; M. Yamamoto; K. Liu; Osami Saito;

doi: 10.1109/cdc.2001.914746

Geometrical approach to parameter dependent Lyapunov functions

Abstract

We consider the problem of constructing parameter dependent Lyapunov functions that guarantee the stability of the linear systems with an uncertain constant real parameter. First, we formulate the surface on which all parameter dependent Lyapunov matrices for a given uncertain system exist. Next, after defining a Riemannian metric on the surface, we derive a method to obtain a parameter dependent Lyapunov matrix as a geodesic on the surface.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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