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Variational and Hamiltonian Control Systems

Paperback Engels 1987 1987e druk 9783540183723
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Samenvatting

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.

Specificaties

ISBN13:9783540183723
Taal:Engels
Bindwijze:paperback
Aantal pagina's:124
Uitgever:Springer Berlin Heidelberg
Druk:1987

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Inhoudsopgave

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.

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        Variational and Hamiltonian Control Systems