Efficient optimal equation formulation in lumped power-conserving systems

Lamb, John D. (1998) Efficient optimal equation formulation in lumped power-conserving systems. Discrete Applied Mathematics, 85 (3). pp. 239-249. ISSN 0166-218X. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Official URL
http://dx.doi.org/10.1016/S0166-218X(98)00037-7

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) how to test whether any other set of inputs is consistent, and (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.

Item Type: Article
Uncontrolled keywords: equation formulation; lumped system; Tellegen's theorem; Delta-matroid
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Social Sciences > Kent Business School
Depositing User: M.A. Ziai
Date Deposited: 29 Jun 2011 08:11
Last Modified: 11 Jul 2014 13:06
Resource URI: https://kar.kent.ac.uk/id/eprint/17407 (The current URI for this page, for reference purposes)
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