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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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: | 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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