Interdisciplinary Applied Mathematics - Geometric Optimal Control
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Published By Springer New York

9781461438335, 9781461438342

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The Calculus of Variations: A Historical Perspective

Interdisciplinary Applied Mathematics - Geometric Optimal Control ◽

10.1007/978-1-4614-3834-2_1 ◽

2012 ◽

pp. 1-81 ◽

Author(s):

Heinz Schättler ◽

Urszula Ledzewicz

Keyword(s):

Calculus Of Variations ◽

Historical Perspective

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The Method of Characteristics: A Geometric Approach to Sufficient Conditions for a Local Minimum

Interdisciplinary Applied Mathematics - Geometric Optimal Control ◽

10.1007/978-1-4614-3834-2_5 ◽

2012 ◽

pp. 323-423 ◽

Author(s):

Heinz Schättler ◽

Urszula Ledzewicz

Keyword(s):

Local Minimum ◽

Method Of Characteristics ◽

Sufficient Conditions ◽

Geometric Approach ◽

The Method Of Characteristics

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Reachable Sets of Linear Time-Invariant Systems: From Convex Sets to the Bang-Bang Theorem

Interdisciplinary Applied Mathematics - Geometric Optimal Control ◽

10.1007/978-1-4614-3834-2_3 ◽

2012 ◽

pp. 195-230

Author(s):

Heinz Schättler ◽

Urszula Ledzewicz

Keyword(s):

Convex Sets ◽

Linear Time ◽

Reachable Sets ◽

Linear Time Invariant ◽

Linear Time Invariant Systems ◽

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Control-Affine Systems in Low Dimensions: From Small-Time Reachable Sets to Time-Optimal Syntheses

Interdisciplinary Applied Mathematics - Geometric Optimal Control ◽

10.1007/978-1-4614-3834-2_7 ◽

2012 ◽

pp. 485-568

Author(s):

Heinz Schättler ◽

Urszula Ledzewicz

Keyword(s):

Reachable Sets ◽

Affine Systems ◽

Low Dimensions ◽

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The High-Order Maximum Principle: From Approximations of Reachable Sets to High-Order Necessary Conditions for Optimality

Interdisciplinary Applied Mathematics - Geometric Optimal Control ◽

10.1007/978-1-4614-3834-2_4 ◽

2012 ◽

pp. 231-321

Author(s):

Heinz Schättler ◽

Urszula Ledzewicz

Keyword(s):

Maximum Principle ◽

Necessary Conditions ◽

Reachable Sets ◽

Necessary Conditions For Optimality

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Synthesis of Optimal Controlled Trajectories: From Local to Global Solutions

Interdisciplinary Applied Mathematics - Geometric Optimal Control ◽

10.1007/978-1-4614-3834-2_6 ◽

2012 ◽

pp. 425-484

Author(s):

Heinz Schättler ◽

Urszula Ledzewicz

Keyword(s):

Global Solutions

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The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution

Interdisciplinary Applied Mathematics - Geometric Optimal Control ◽

10.1007/978-1-4614-3834-2_2 ◽

2012 ◽

pp. 83-194 ◽

Author(s):

Heinz Schättler ◽

Urszula Ledzewicz

Keyword(s):

Maximum Principle ◽

Pontryagin Maximum Principle ◽

Necessary Conditions ◽

Optimal Solution ◽

The Pontryagin Maximum Principle

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