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Geometric optimal control : theory, methods and examples
- Author / Creator
- Available as
- Physical
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- Creator
- Heinz Schättler, Urszula Ledzewicz
- Format
- Books
- Language
- English
- Contributors
- Publication
-
- New York : Springer, [2012]
- ©2012
- Physical Details
-
- xix, 640 pages : illustrations ; 24 cm
- ISBNs
- 1461438349, 1489986804, 9781461438335, 9781461438342, 1461438330
- OCLC
- ocn801364209, ocn781681775
- Includes bibliographical references and index.
- 1. The calculus of variations: a historical perspective -- 2. The Pontryagin maximum principle: from necessary conditions to the construction of an optimal solution -- 3. Reachable sets of linear time-invariant systems: from convex sets to the bang-bang theorem -- 4. The high-order maximum principle: from approximations of reachable sets to high-order necessary conditions for optimality -- 5. The method of characteristics: a geometric approach to sufficient conditions for a local minimum -- 6. Synthesis of optimal controlled trajectories: from local to global solutions -- 7. Control-affine systems in low dimensions: from small-time reachable sets to time-optimal syntheses -- A: A review of some basic results from advanced calculus -- B: Ordinary differential equations -- C. An introduction to differentiable manifolds -- D: Some facts from real analysis