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A Maximum Principle for Optimal Control Problems involving Sweeping Processes with a Nonsmooth Set
Maria do Rosario de Pinho, Maria Margarida A. Ferreira, Georgi Smirnov
We generalize a Maximum Principle for optimal control problems involving sweeping systems previously derived in ``Necessary conditions for optimal control problems with sweeping sy…
Necessary conditions for optimal control problems with sweeping systems and end point constraints
M. d. R. de Pinho, M. Margarida A. Ferreira, Georgi Smirnov
We generalize the Maximum Principle for free end point optimal control problems involving sweeping systems derived in [9] to cover the case where the end point is constrained to ta…
Explicit bounds for solutions to optimal control problems
Miguel Oliveira, Georgi Smirnov
In this paper we present explicit bounds for optimal control in a Lagrange problem without end-point constraints. The approach we use is due to Gamkrelidze and is based on the equi…
Explicit bounds for Lipschitz constant of solution to basic problem in calculus of variations
Miguel Oliveira, Georgi Smirnov
In this paper we present explicit estimate for Lipschitz constant of solution to a problem of calculus of variations. The approach we use is due to Gamkrelidze and is based on the…