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On optimal control of a sweeping process coupled with an ordinary differential equation
2014
Discrete and continuous dynamical systems. Series B
We study a special case of an optimal control problem governed by a differential equation and a differential rate-independent variational inequality, both with given initial conditions. Under certain conditions, the variational inequality can be reformulated as a differential inclusion with discontinuous right-hand side. This inclusion is known as sweeping process. We perform a discretization scheme and prove the convergence of optimal solutions of the discretized problems to the optimal
doi:10.3934/dcdsb.2014.19.2709
fatcat:dea7yoy4xndqtcm3z5eyvgxrha