Optimal Syntheses for Control Systems on 2-D Manifolds: 43 (Mathématiques et Applications, 43) - Softcover

Boscain, Ugo; Piccoli, Benedetto

 
9783540203063: Optimal Syntheses for Control Systems on 2-D Manifolds: 43 (Mathématiques et Applications, 43)

Synopsis

This monograph is the first devoted to optimal syntheses in control theory and focuses on minimum time on 2-D manifolds. The first chapter outlines book results and examples of applicability. Then a quick introduction to geometric methods in control theory is provided. The following chapters contain a deep analysis of single input systems on 2-D manifolds including classifications of optimal syntheses and feedbacks, their singularities, extremals projection and minimum time singularities. Various extensions and applications are also illustrated. The volume is suitable for a graduate level one-semester course on optimal syntheses theory for mathematicians or engineers with a solid mathematical background.

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From the Back Cover

This monograph is the first devoted to optimal syntheses in control theory and focuses on minimum time on 2-D manifolds. The first chapter outlines book results and examples of applicability. Then a quick introduction to geometric methods in control theory is provided. The following chapters contain a deep analysis of single input systems on 2-D manifolds including classifications of optimal syntheses and feedbacks, their singularities, extremals projection and minimum time singularities. Various extensions and applications are also illustrated. The volume is suitable for a graduate Level one-semester course on optimal syntheses theory for mathematicians or engineers with a solid mathematical background.

"About this title" may belong to another edition of this title.