Lamb, J.D. (1998) Efficient optimal equation formulation in lumped power-conserving systems. Discrete Applied Mathematics, 85 (3). pp. 239-249. ISSN 0166-218X.
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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.
|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:||29 Jun 2011 08:11|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/17407 (The current URI for this page, for reference purposes)|
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