MTNS 2006 Paper Abstract

17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

Paper FrP07.4

Pait, Felipe (Univ. of São Paulo), Colón, Diego (Univ. Estadual Paulista)

On the Lyapunov Partial Differential Equation

Scheduled for presentation during the Regular Session "Stability II" (FrP07), Friday, July 28, 2006, 16:35−17:00, Room H

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 25, 2024

Keywords Stability, Algebraic and differential geometry, Stability analyisis

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.