C. Nour
Lebanese American University
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Publication
Featured researches published by C. Nour.
Siam Journal on Control and Optimization | 2005
Francis Clarke; C. Nour
We derive a representation of the minimum cost of an optimal control problem in terms of the upper envelope of generalized semisolutions of the Hamilton--Jacobi equation.
Journal of Optimization Theory and Applications | 2012
C. Nour; Jean Takche
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.
Systems & Control Letters | 2008
C. Nour; Ronald J. Stern
Abstract 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 Anal. 13 (1) (2006) 61–80, Theorem 4.7] allows us to deduce that T ( ⋅ , ⋅ ) is then also C 1 , 1 -smooth near ( α , β ) . The nonlinear case, which remains open, is discussed in the concluding remarks.
Archive | 2006
C. Nour
Archive | 2004
Frank H. Clarke; C. Nour
Nonlinear Analysis-theory Methods & Applications | 2008
C. Nour; Ronald J. Stern
Nonlinear Analysis-theory Methods & Applications | 2010
C. Nour; Ronald J. Stern; Jean Takche
Nonlinear Analysis-theory Methods & Applications | 2007
C. Nour; Ronald J. Stern
Control and Cybernetics | 2009
C. Nour; Ronald J. Stern; Jean Takche
ESAIM: Control, Optimisation and Calculus of Variations | 2006
C. Nour
