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Dual-system methods in dynamical analysis. Part 1: Variational principles and their application to nonlinear-network theory

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1 Author(s)
MacFarlane, A.G.J. ; University of Manchester Institute of Science & Technology, Control Systems Centre, Manchester, UK

The feedback connection of a dynamical system and its dual, through nonlinear coupling elements, is shown to generate a pair of fundamental stationary principles. These provide a unified basis for both the classical Lagrangian and Hamiltonian treatments of dynamical systems aud modern work on nonlinear network theory and linear optimal-control theory.

Published in:
Electrical Engineers, Proceedings of the Institution of  (Volume:116 ,  Issue: 8 )

Date of Publication: August 1969

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