Minimal invasion: An optimal L state constraint problem
Christian Clason, Kazufumi Ito, Karl Kunisch (2011)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this work, the least pointwise upper and/or lower bounds on the state variable on a specified subdomain of a control system under piecewise constant control action are sought. This results in a non-smooth optimization problem in function spaces. Introducing a Moreau-Yosida regularization of the state constraints, the problem can be solved using a superlinearly convergent semi-smooth Newton method. Optimality conditions are derived, convergence of the Moreau-Yosida regularization...