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Symplectic methods for optimization and control. (English) Zbl 0965.93034
Jakubczyk, Bronisław (ed.) et al., Geometry of feedback and optimal control. New York, NY: Marcel Dekker, Inc. Pure Appl. Math., Marcel Dekker. 207, 19-77 (1998).
Summary: The goal of this paper is to demonstrate the power and productivity of the symplectic approach to optimization problems and to draw attention of specialists interested in Control Theory to this promising direction of investigations. We start from the classical problem of conditional extremum and then turn to the optimal control. All basic notions and facts from symplectic geometry we use, are introduced in the paper. Geometry of Lagrange Grassmannian is studied in greater detail.
For the entire collection see [Zbl 0892.00025].

93B29 Differential-geometric methods in systems theory (MSC2000)