Construction of Lyapunov functions using Grobner bases

descriptionPublicationkeyboard_double_arrow_right Article 09 Dec 2002Publisher:IEEEJournal:[1991] Proceedings of the 30th IEEE Conference on Decision and Control

Authors: K. Forsman;

doi: 10.1109/cdc.1991.261424

Construction of Lyapunov functions using Grobner bases

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Abstract

The author shows how Grobner bases can be used when choosing parameters in Lyapunov functions for nonlinear dynamic systems in an optimal way. The method requires the nonlinearities of the system and the Lyapunov function to be of a polynomial type. Some concrete examples of how to apply the method are provided. >

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Linköping University
Sweden

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