Abstract
Sets of inputs and outputs are defined for lumped power-conserving systems, and a set of inputs is defined to be consistent if the corresponding set of outputs can be written in terms of it. To find a set of state equations, one needs a consistent set of inputs. Given one consistent set of inputs it is shown 1. (1) how to test whether any other set of inputs is consistent, and 2. (2) given a preference ordering on all sets of inputs with certain additional properties, how to find an optimal set. The algorithm for (2) is shown to be O( m 5)- time, where m is the number of external elements of the system. Its application is to finding optimal sets of state equations.
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