On state-space energy based generalization of Brayton–Moser topological approach to electrical network decomposition
Authors
Daniel Mayer, Josef Hrusak, Milan Stork
Abstract
This paper deals with generalization of the Brayton–Moser network decomposition and related structural properties to a relatively large class of finite dimensional strictly causal systems, which can be described in the state-space representation form. The resulting energy-metric function is defined for dissipative systems and is induced by the output signal dissipation power. It is demonstrated that such a power-oriented approach determines both, the structure of a system representation as well as the corresponding system state space topology. A special form of physically correct internal structure of an equivalent state space representation has been derived as a natural consequence of strict causality, the state-space energy conservation, dissipativity assumption and the state minimality requirement.
Keywords
State-space energy; Dissipation power; Decomposition of system representation; Active power; Dissipative chaos ; Reactive power; Conservative chaos; Bryton–Moser equations; New paradigm; Port–Hamiltonian systems; 93 System theory and control
Citation
- Journal: Computing
- Year: 2013
- Volume: 95
- Issue: S1
- Pages: 723–749
- Publisher: Springer Science and Business Media LLC
- DOI: 10.1007/s00607-012-0280-2
BibTeX
@article{Mayer_2013,
title={{On state-space energy based generalization of Brayton–Moser topological approach to electrical network decomposition}},
volume={95},
ISSN={1436-5057},
DOI={10.1007/s00607-012-0280-2},
number={S1},
journal={Computing},
publisher={Springer Science and Business Media LLC},
author={Mayer, Daniel and Hrusak, Josef and Stork, Milan},
year={2013},
pages={723--749}
}
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