Mathematics – Optimization and Control
Scientific paper
2012-02-24
Mathematics
Optimization and Control
Scientific paper
We consider integer-restricted control of systems governed by abstract semilinear evolution equations. This includes the problem of optimal control design for certain distributed parameter systems endowed with multiple actuators, where the task is to minimize costs associated with the dynamics of the system by choosing, for each instant in time, one of the actuators together with ordinary controls. We consider relaxation techniques that are already used successfully for mixed-integer optimal control of ordinary differential equations. Our analysis yields sufficient conditions such that the solution of the relaxed problem can be approximated with arbitrary precision by a solution satisfying the integer restrictions. The results are obtained by semigroup theory methods. The approach is constructive and gives rise to a numerical method. We supplement the analysis with numerical experiments.
Hante Falk M.
Sager Sebastian
No associations
LandOfFree
Relaxation Methods for Mixed-Integer Optimal Control of Partial Differential Equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Relaxation Methods for Mixed-Integer Optimal Control of Partial Differential Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relaxation Methods for Mixed-Integer Optimal Control of Partial Differential Equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-78857