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Some Further Results on Optimal Scaling

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2 Author(s)

We present some new results on optimal scaling - i.e., the design of a diagonal matrix K so as optimize the product KG, G isin Rntimesn, with respect to a performance measure. In particular, we extend our previous work on optimizing the dominant eigenvalue ratio to three other performance measures: 1) the condition number, 2) the ratio of the minimum eigenvalue to the infinity-norm of KG, and 3) a Lyapunov exponent-based measure. We also give some preliminary explorations into eigenvalue placement through scaling

Published in:

Decision and Control, 2006 45th IEEE Conference on

Date of Conference:

13-15 Dec. 2006