Article | REF: S7453 V1

Analysis and control of PDE systems - Transfer case

Authors: Vincent ANDRIEU, Jean AURIOL, Swann MARX

Publication date: May 10, 2024

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5. Glossary

Backstepping transformation; Backstepping transformation

Technique for simplifying the structure of a system of partial differential equations using an integral transformation.

Lyapunov functional; Lyapunov functional

Energy-related function that decreases along the solutions of the system. This is a powerful tool for establishing the asymptotic stability of finite- or infinite-dimensional systems.

Methods of characteristics; Méthode des caractéristiques

A method of finding curves along which a partial differential equation reduces to an ordinary differential equation.

Contrôleur early lumping ; Early lumping controller

Control method for partial differential equations consisting in approximating the system by a finite-dimensional...

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