Optimal control, geometry, and mechanics. (English) Zbl 1047.93506

Jurdjevic, V.

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). 227-267 (1998).

From the text: A general survey of the maximum principle on manifolds is given. First the Hamiltonian formalism for optimal control problems is studied and then several optimal control problems on Lie groups are considered that are explicitly solvable.
For the entire collection see [Zbl 0904.00033].

MSC:

93B29	Differential-geometric methods in systems theory (MSC2000)
49K15	Optimality conditions for problems involving ordinary differential equations
93-02	Research exposition (monographs, survey articles) pertaining to systems and control theory
49-02	Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control