Variational and Hamiltonian Control Systems
By: edited by P. E. Crouch, A. J. Schaft
Contributors: Schaft, A. J.
Series: Lecture Notes in Control and Information Sciences -- 101; Lecture notes in control and information sciences -- 101.
Publisher: Springer Berlin Heidelberg
Published: 1987
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 124
ISBN-13: 9783540183723; 9783540479291
Subjects: Mechanics; Engineering; Engineering mathematics
Description: 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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Table of contents: title: Contents: Introduction; title: The Hamiltonian Realization Problem; title: Variational and Adjoint Variational Systems; title: Minimality of the Prolongation and Hamiltonian Extension; title: The Self-Adjointness Criterion; title: General Nonlinear Systems; title: Final Remarks and some Open Problems; title: References.