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Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control (Paperback, Softcover reprint of the original 1st ed. 1996)
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Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control (Paperback, Softcover reprint of the original 1st ed. 1996)
Series: The IMA Volumes in Mathematics and its Applications, 78
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This IMA Volume in Mathematics and its Applications NONSMOOTH
ANALYSIS AND GEOMETRIC METHODS IN DETERMINISTIC OPTIMAL CONTROL is
based on the proceedings of a workshop that was an integral part of
the 1992-93 IMA program on "Control Theory. " The purpose of this
workshop was to concentrate on powerful mathematical techniques
that have been de veloped in deterministic optimal control theory
after the basic foundations of the theory (existence theorems,
maximum principle, dynamic program ming, sufficiency theorems for
sufficiently smooth fields of extremals) were laid out in the
1960s. These advanced techniques make it possible to derive much
more detailed information about the structure of solutions than
could be obtained in the past, and they support new algorithmic
approaches to the calculation of such solutions. We thank Boris S.
Mordukhovich and Hector J. Sussmann for organiz ing the workshop
and editing the proceedings. We also take this oppor tunity to
thank the National Science Foundation and the Army Research Office,
whose financial support made the workshop possible. A vner Friedman
Willard Miller, Jr. v PREFACE This volume contains the proceedings
of the workshop on Nonsmooth Analysis and Geometric Methods in
Deterministic Optimal Control held at the Institute for Mathematics
and its Applications on February 8-17, 1993 during a special year
devoted to Control Theory and its Applications. The workshop-whose
organizing committee consisted of V. J urdjevic, B. S.
Mordukhovich, R. T. Rockafellar, and H. J."
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