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20232026
most citedA Control Space Ensuring the Strong Convergence of Continuous Approximation for a Controlled Sweeping Process

11 citations · 20 across the 11 of their papers we have counts for

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math.OC2026

Optimal Control of Sweeping Processes with Nonsmooth Moving Sets: A Numerical Algorithm

Chadi Nour

This paper extends the numerical method introduced by de Pinho et al. [22] and later developed in Nour and Zeidan [33, 37] to the nonautonomous case where the nonsmooth sweeping se…

math.OC2023★ 3 cited

Numerical Method for a Controlled Sweeping Process with Nonsmooth Sweeping Set

Chadi Nour, Vera Zeidan

The numerical method developed in [30] for optimal control problems involving sweeping processes with smooth sweeping set C is generalized to the case where C is nonsmooth, namely,…

math.OC2023★ 2 cited

Nonsmooth optimality criterion for a -controlled sweeping process: Nonautonomous perturbation

Chadi Nour, Vera Zeidan

We extend to -local minimizers and nonautonomous perturbation function, the necessary optimality conditions derived in [1], via continuous-time a…

math.OC2023★ 3 cited

Pontryagin-type maximum principle for a controlled sweeping process with nonsmooth and unbounded sweeping set

Chadi Nour, Vera Zeidan

The Pontryagin-type maximum principle derived in [30] for optimal control problems involving sweeping processes is generalized to the case where the sweeping set C is nonsmooth and…

math.OC2023★ 11 cited

A Control Space Ensuring the Strong Convergence of Continuous Approximation for a Controlled Sweeping Process

Chadi Nour, Vera Zeidan

A controlled sweeping process with prox-regular set, -controls, and separable endpoints constraints is considered in this paper. Existence of optimal solutions is establis…