Variational and Hamiltonian Control Systems: 101 - Brossura

Crouch, P.E.

Brossura

ISBN 10: 3540183728 ISBN 13: 9783540183723

Casa editrice: Springer, 1987

Riassunto

This monograph grew out of a combined effort to prove a conjecture concerning the characterization of Hamiltonian control systems in terms of their variational input-output behaviour. The main concepts and results of this monograph are contained in chapters 1 to 6. Chapter 0 gives a brief introduction to Hamiltonian control systems, with particular emphasis on the relations between physical and control theoretical notions. Indeed, the study of Hamiltonian control systems is one of the places where (theoretical) physics and systems and control theory meet. We conclude the monograph with chapter 7 discussing some possible extensions to the theory presented, as well as some open problems.

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Contenuti

The Hamiltonian relaization problem.- Variational and adjoint variational systems.- Minimality of the prolongation and Hamiltonian extension.- The self-adjointness criterion.- The variational criterion.- General nonlinear systems.- Final remarks and some of en problems.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 1987
• Lingua: Inglese
• ISBN 10: 3540183728
• ISBN 13: 9783540183723
• Rilegatura: Copertina flessibile
• Numero di pagine: 132
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania