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discretemaximum principle

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Minimax optimal control problems. Numerical analysis of the finite horizoncase
Silvia C. Di Marco, Roberto L.V. González
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 33 / Issue 1 / January 1999

Published online by Cambridge University Press:

15 August 2002, pp. 23-54

Print publication:

January 1999
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In this paper we consider the numerical computation of the optimal costfunction associated to the problem that consists in finding the minimum ofthe maximum of a scalar functional on a trajectory. We present anapproximation method for the numerical solution which employs bothdiscretization on time and on spatial variables. In this way, we obtain afully discrete problem that has unique solution. We give an optimal estimatefor the error between the approximated solution and the optimal costfunction of the original problem. Also, numerical examples are presented.