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Application of group theory to linear dynamical systems. Part 1: Performance invariance and finite transformations

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2 Author(s)
MacFarlane, A.G.J. ; University of London, Queen Mary College, Department of Electrical Engineering, London, UK ; Mitra, D.

A linear transformation of the state variables of a linear dynamical system generates another linear system, which may have some properties in common with the original system. The transformations considered here are those which leave invariant a functional of a general algebraic form of the system state variables. It is shown that these define a subgroup of transformations within the linear group. The general concepts of group theory are reviewed, and an example is given of the application of a finite transformation to a linear electrical network.

Published in:

Electrical Engineers, Proceedings of the Institution of  (Volume:113 ,  Issue: 8 )

Date of Publication:

August 1966

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