3 citations · 6 across the 6 of their papers we have counts for
4 papers · 1 filter
Time-Invariant Linear Quadratic Regulators: A New Look
Cédric Join, Emmanuel Delaleau, Michel Fliess
This paper demonstrates that linear ordinary differential equations with constant coefficients serve as the main building block for time-invariant linear quadratic regulators (LQRs…
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…
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…
Flatness-based control revisited: The HEOL setting
Cédric Join, Emmanuel Delaleau, Michel Fliess
We present the algebraic foundations of the HEOL setting, which combines flatness-based control and intelligent controllers, two advances in automatic control that have been proven…