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      Optimal control of a rate-independent evolution equation via viscous regularization

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          Abstract

          We study the optimal control of a rate-independent system that is driven by a convex, quadratic energy. Since the associated solution mapping is non-smooth, the analysis of such control problems is challenging. In order to derive optimality conditions, we study the regularization of the problem via a smoothing of the dissipation potential and via the addition of some viscosity. The resulting regularized optimal control problem is analyzed. By driving the regularization parameter to zero, we obtain a necessary optimality condition for the original, non-smooth problem.

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          Hysteresis and Phase Transitions

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            Differential Models of Hysteresis

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              A variational principle for gradient plasticity

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                Author and article information

                Journal
                2016-07-04
                Article
                1607.00809
                f329971d-5c55-426f-abed-01fe0f054175

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                49K20, 35K87
                math.OC math.AP

                Analysis,Numerical methods
                Analysis, Numerical methods

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