From the 1 of 5.5k papers with an AI index.
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4 papers · 2 filters
Further Constructions of Control-Lyapunov Functions and Stabilizing Feedbacks for Systems Satisfying the Jurdjevic-Quinn Conditions
Frederic Mazenc, Michael Malisoff
For a broad class of nonlinear systems, we construct smooth control-Lyapunov functions whose derivatives along the trajectories of the systems can be made negative definite by smoo…
The max-plus finite element method for optimal control problems: further approximation results
Marianne Akian, Stephane Gaubert, Asma Lakhoua
We develop the max-plus finite element method to solve finite horizon deterministic optimal control problems. This method, that we introduced in a previous work, relies on a max-pl…
Flatness and Monge parameterization of two-input systems, control-affine with 4 states or general with 3 states
David Avanessoff, Jean-Baptiste Pomet
This paper studies Monge parameterization, or differential flatness, of control-affine systems with four states and twocontrols. Some of them are known to be flat, and this implies…
Average consensus problems in networks of agents with delayed communications
Pierre-Alexandre Bliman, Giancarlo Ferrari-Trecate
The present paper is devoted to the study of average consensus problems for undirected networks of dynamic agents having communication delays. The accent is put here on the study o…