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Excerpt from The Connection Between Singular Perturbations and Singular Arcs, Vol. 2: A Theory for the Linear Regulator Singular perturbation theory is applied to obtain the asymptotic solution for nearly singular Optimal control of a constant linear system in a finite time interval In the limit as the control cost is reduced to zero, the initial control is found to have an impulse-like behavior, while the outer solu tion yields a singular arc. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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