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math.OC2025
Linear Quadratic Regulators: A New Look
Cédric Join, Emmanuel Delaleau, Michel Fliess
Linear time-invariant control systems can be considered as finitely generated modules over the commutative principal ideal ring of linear differential op…
math.OC2025
Synchronization of Kuramoto oscillators via HEOL, and a discussion on AI
Emmanuel Delaleau, Cédric Join, Michel Fliess
Artificial neural networks and their applications in deep learning have recently made an incursion into the field of control. Deep learning techniques in control are often related…
math.OC2024
The Euler-Lagrange equation and optimal control: Preliminary results
Cédric Join, Emmanuel Delaleau, Michel Fliess
Algebraically speaking, linear time-invariant (LTI) systems can be considered as modules. In this framework, controllability is translated as the freeness of the system module. Opt…