Abstract
AbstractIn the design and computation of optimal controls for systems that evolve in time, usually the effect of delay is ignored. However in the implementation of the computed optimal controls in the control systems often delays occur, for example through transmission via digital communication channels. The question to be addressed is whether such small delays can have large effects on a system that is steered by an optimal control. We show that for a system that is governed by the wave equation with L2‐norm minimal exact Dirichlet boundary control, for arbitrarily small time‐delays there are initial states such that the terminal energy is almost twice as big as the initial energy. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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