Safe controller synthesis for data-driven differential inclusions

M Ahmadi, A Israel, U Topcu - IEEE Transactions on Automatic …, 2020 - ieeexplore.ieee.org
We consider the problem of designing finite-horizon safe controllers for a dynamical system
for which no explicit analytical model exists and limited data only along a single trajectory of …

[HTML][HTML] C1, ω extension formulas for 1-jets on Hilbert spaces

D Azagra, C Mudarra - Advances in Mathematics, 2021 - Elsevier
We provide necessary and sufficient conditions for a 1-jet (f, G): E→ R× X to admit an
extension (F,∇ F) for some F∈ C 1, ω (X). Here E stands for an arbitrary subset of a Hilbert …

Explicit formulas for and extensions of -jets in Hilbert and superreflexive spaces

D Azagra, EL Gruyer, C Mudarra - arXiv preprint arXiv:1706.02235, 2017 - arxiv.org
Given $ X $ a Hilbert space, $\omega $ a modulus of continuity, $ E $ an arbitrary subset of
$ X $, and functions $ f: E\to\mathbb {R} $, $ G: E\to X $, we provide necessary and sufficient …

[PDF][PDF] Explicit formulas for C1, and C extensions of 1-jets in Hilbert and superreflexive spaces

D Azagra, E Le Gruyer, C Mudarra - 2017 - mat.ucm.es
Given X a Hilbert space, ω a modulus of continuity, E an arbitrary subset of X, and functions
f: E→ R, G: E→ X, we provide necessary and sufficient conditions for the jet (f, G) to admit an …