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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Generally speaking, the numerical tool used to synthesize control laws for partial differential equations (PDEs) is MATLAB with the Simulink module. Specialized tools include COMSOL Multiphysics, ANSYS, and other numerical modeling and simulation environments.
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IEEE Conference on Decision and Control
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IFAC Conference of Partial Differential Equations
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International Federation of Automatic Control https://www.ifac-control.org
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