DocumentCode
2402899
Title
On the characterization of Hamiltonian systems via differential input-output equations
Author
Crouch, P.E. ; Lamnabhi-Lagarrigue, F. ; van der Schaft, A.J.
Author_Institution
Center for Syst. Sci. & Eng., Arizona State Univ., Tempe, AZ, USA
fYear
1992
fDate
1992
Firstpage
3651
Abstract
A result of P.E. Crouch and F. Lamnabhi-Lagarrigue (1988) which characterizes Hamiltonian systems described by second-order single-input single-output (SISO) input-output differential equations is extended. A general formalism that defines the adjoint variational equations from the input-output differential equation representation is given. This is used to characterize Hamiltonian systems by using the general results of P.E. Crouch and A.J. van der Schaft (1987), i.e., Hamiltonian systems are those systems for which the variational and adjoint variational systems coincide
Keywords
differential equations; nonlinear systems; variational techniques; Hamiltonian systems; adjoint variational equations; characterization; differential equations; differential input-output equations; second-order single-input single-output; Density estimation robust algorithm; Differential equations; Mathematics; Partial differential equations; State-space methods; Systems engineering and theory;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location
Tucson, AZ
Print_ISBN
0-7803-0872-7
Type
conf
DOI
10.1109/CDC.1992.370970
Filename
370970
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