Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Chadi Nour"'
Autor:
Chadi Nour, Vera Zeidan
Publikováno v:
Journal of Differential Equations. 318:113-168
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f3c964594fb62737e4b0c6d6ac7c2114
https://doi.org/10.1016/j.jde.2022.02.021
https://doi.org/10.1016/j.jde.2022.02.021
Autor:
Chadi Nour, Vera Zeidan
Publikováno v:
IEEE Control Systems Letters. 6:1190-1195
A numerical method and the theory leading to its success are developed in this letter to solve nonstandard optimal control problems involving sweeping processes, in which the sweeping set ${C}$ is non-convex and coincides with the zero-sublevel set o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::01a2a19690f524ee56e3e525bb1b4bc8
https://doi.org/10.1109/lcsys.2021.3089977
https://doi.org/10.1109/lcsys.2021.3089977
Publikováno v:
Journal of Differential Equations. 269:9531-9582
For an optimal control problem governed by a controlled nonconvex sweeping process, we provide, using an exponential penalization technique, existence of solution and nonsmooth necessary conditions in the form of the Pontryagin maximum principle. Our
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79cecbff1a16b871ccedeaa73a0fc613
https://doi.org/10.1016/j.jde.2020.06.053
https://doi.org/10.1016/j.jde.2020.06.053
Autor:
Jean Takche, Chadi Nour
Publikováno v:
Set-Valued and Variational Analysis. 22:503-519
For a given multifunction, we provide proximal differentiability condition under which the equivalence between the interior sphere condition of each value of the multifunction and the interior sphere condition of its graph holds.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::07cee531b07d6b6ba4b3deec89f12eae
https://doi.org/10.1007/s11228-013-0268-x
https://doi.org/10.1007/s11228-013-0268-x
Autor:
Chadi Nour, Jean Takche
Publikováno v:
Journal of Optimization Theory and Applications. 155:376-389
We provide a new analytical proof for a strengthened version of the variable radius form of the union of closed balls conjecture. We also introduce a strong version of this conjecture and discuss its validity.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7449d676650bcf8093867b5dd021a070
https://doi.org/10.1007/s10957-012-0068-8
https://doi.org/10.1007/s10957-012-0068-8
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 29:615-622
We consider sets $S\subset\R^n$ satisfying a certain exterior sphere condition, and it is shown that under wedgedness of $S$, it coincides with $\varphi$-convexity. We also offer related improvements concerning the union of uniform closed balls conje
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::931943060791363d2bb9a4857dc5c905
https://doi.org/10.3934/dcds.2011.29.615
https://doi.org/10.3934/dcds.2011.29.615
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 73:573-589
We consider sets S ⊂ R n satisfying a locally uniform exterior sphere condition called the θ -exterior sphere condition. It is shown that under wedgedness of S , this coincides with the φ -convexity property studied by Colombo and Marigonda (2005
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e16a1d1cfcf7111cdad24e350517605b
https://doi.org/10.1016/j.na.2010.04.001
https://doi.org/10.1016/j.na.2010.04.001
Autor:
Chadi Nour, R.J. Stern
Publikováno v:
Systems & Control Letters. 57:863-866
For a linear control system, we provide conditions under which the bilateral minimal time function T ( ⋅ , ⋅ ) is semiconcave near a given point ( α , β ) . A semiconvexity result of Nour [C. Nour, The bilateral minimal time function, J. Convex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91939df65890776d2e1133be6f2f8188
https://doi.org/10.1016/j.sysconle.2008.04.001
https://doi.org/10.1016/j.sysconle.2008.04.001
Autor:
Chadi Nour
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 67:349-367
We derive a geometric necessary and sufficient condition for the existence of solutions to a global eikonal equation. We also study the existence of a minimal solution to this equation, and its relation with the well-known minimal time function.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a5f100ba285ca6ad743c586014b4f212
https://doi.org/10.1016/j.na.2006.05.013
https://doi.org/10.1016/j.na.2006.05.013
Autor:
R.J. Stern, Chadi Nour
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 66:62-72
The regularity of the state constrained minimal time function is studied. We generalize [P. Wolenski, Y. Zhuang, Proximal analysis and the minimal time function, SIAM J. Control Optim. 36 (1998) 1048–1072, Theorem 6.1] in which Wolenski and Zhuang
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ee03df462217d199c17d519cf195171
https://doi.org/10.1016/j.na.2005.11.010
https://doi.org/10.1016/j.na.2005.11.010