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- W1845228410 abstract "Many large-scale systems exhibit the structure of weakly connected components. In such cases, proper identification of weakly coupled subsystems will add insight into large-scale system behavior, and aid in related tasks such as the design of decentralized control. /spl epsiv/-decomposition is a well-known efficient graph theoretic algorithm for achieving a complete set of nested decompositions of a large-scale system. This paper shows how system matrix scaling can affect these decompositions, and determines that a system is properly scaled for /spl epsiv/-decomposition when it is max-balanced, a property associated with weighted directed graphs. Also, it is shown that an existing algorithm for max-balancing can be altered slightly to return the complete set of /spl epsiv/-decompositions, thus removing the need for two separate algorithms. Finally, the advantages of max-balancing before decomposition are shown explicitly for large-scale system stability tests and parallel solution of nonlinear equations." @default.
- W1845228410 created "2016-06-24" @default.
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- W1845228410 date "2005-08-24" @default.
- W1845228410 modified "2023-09-25" @default.
- W1845228410 title "Matrix scaling for large-scale system decomposition" @default.
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- W1845228410 doi "https://doi.org/10.1109/acc.1995.532387" @default.
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