Dual-system methods in dynamical analysis. Part 1: Variational principles and their application to nonlinear-network theory
- 1 January 1969
- journal article
- Published by Institution of Engineering and Technology (IET) in Proceedings of the Institution of Electrical Engineers
- Vol. 116 (8) , 1453-1457
- https://doi.org/10.1049/piee.1969.0262
Abstract
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.Keywords
This publication has 2 references indexed in Scilit:
- Dual-system methods in dynamical analysis. Part 2: Optimal regulators and optimal servomechanismsProceedings of the Institution of Electrical Engineers, 1969
- The Variational Principles of MechanicsPublished by University of Toronto Press Inc. (UTPress) ,1949