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
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;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.370970
