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Optimal control, optimization, and analytical mechanics. (English) Zbl 1054.49506

Baillieul, John B. (ed.) et al., Mathematical control theory. With a foreword by Sanjoy K. Mitter. Dedicated to Roger Ware Brockett on the occasion of his 60th birthday. New York, NY: Springer (ISBN 0-387-98317-1). 268-321 (1998).
From the text: In this general overview the relations between optimal control theory, optimization and analytical mechanics are given. The Lagrangian and Hamiltonian viewpoints are discussed and several completely integrable examples are considered.
For the entire collection see [Zbl 0904.00033].

MSC:

49K15 Optimality conditions for problems involving ordinary differential equations
93C15 Control/observation systems governed by ordinary differential equations
58E25 Applications of variational problems to control theory
70H05 Hamilton’s equations
70Q05 Control of mechanical systems
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