On the Lyapunov Partial Differential Equation

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Dec 2006Publisher:IEEEJournal:Proceedings of the 45th IEEE Conference on Decision and Control

Authors: Felipe M. Pait; Diego Colón;

doi: 10.1109/cdc.2006.377043

On the Lyapunov Partial Differential Equation

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Abstract

Solving the Lyapunov partial differential equation one can obtain necessary and sufficient conditions for stability of a dynamical system. We establish conditions under which it can be solved, and construct the solution in the case of curve systems - those generated by nabla-Killing vector fields of the connection on the manifold where the system evolves

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Universidade de São Paulo
Brazil

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