NDLI: A new variational principle for dissipative systems with reverse time scales

Content Provider	IEEE Xplore Digital Library
Author	Fatic, V.M.
Copyright Year	1991
Description	Author affiliation: Dept. of Electr. Eng. & Comput. Sci., Union Coll., Schenectady, NY, USA (Fatic, V.M.)
Abstract	Conventional Lagrangian functions L=L (t,q,q) are replaced by more general ones, L=L (t, q(t), q(t), q(t), q(t)), which depend on generalized coordinates q and velocities q as functions of time measured along two reverse scales: t runs from 0 to T, while t*=T-t runs from T to 0. Generalized Lagrangian and Hamiltonian equations are derived, and applied to linear reciprocal systems with constant parameters. This formalism incorporates the dissipation effortlessly, which is the main reason for this development. The method obviates the need for an image (adjoint) system and attendant doubling of generalized coordinates, and leads to a new class of meaningful conservation laws.<>
Starting Page	2900
Ending Page	2903
File Size	284474
Page Count	4
File Format	PDF
ISBN	0780300505
DOI	10.1109/ISCAS.1991.176151
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1991-06-11
Publisher Place	Singapore
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Lagrangian functions Linear systems Integral equations Educational institutions Coordinate measuring machines Time measurement Circuit analysis Calculus Ear Nonlinear systems
Content Type	Text
Resource Type	Article

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A new variational principle for dissipative systems with reverse time scales