Geometric Optimal Control Theory, Methods and Examples /

This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems. The emphasis is on the geometric aspects of the theory and on illustrating how these methods can be used to solve optimal c...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Schättler, Heinz (Autor), Ledzewicz, Urszula (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:Interdisciplinary Applied Mathematics, 38
Temas:
Mathematical optimization.
Calculus of variations.
Control engineering.
Geometry, Differential.
Differential equations.
Engineering mathematics.
Engineering-Data processing.
Calculus of Variations and Optimization.
Control and Systems Theory.
Differential Geometry.
Differential Equations.
Mathematical and Computational Engineering Applications.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • The Calculus of Variations: A Historical Perspective
  • The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution
  • Reachable Sets of Linear Time-Invariant Systems: From Convex Sets to the Bang-Bang Theorem
  • The High-Order Maximum Principle: From Approximations of Reachable Sets to High-Order Necessary Conditions for Optimality
  • The Method of Characteristics: A Geometric Approach to Sufficient Conditions for a Local Minimum
  • Synthesis of Optimal Controlled Trajectories: FromLocal to Global Solutions
  • Control-Affine Systems in Low Dimensions: From Small-Time Reachable Sets to Time-Optimal Syntheses
  • References
  • Index.

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