Controllability Index Based on Conditioning Number

[+] Author and Article Information
B. Friedland

Systems Research, The Singer Company, Kearfott Division, Little Falls, N. J.

J. Dyn. Sys., Meas., Control 97(4), 444-445 (Dec 01, 1975) (2 pages) doi:10.1115/1.3426963 History: Received May 29, 1975; Online July 13, 2010


Use of the conditioning number k(F) = ∥ F ∥ • ∥ F−1 ∥ where F is a symmetric matrix related to the controllability (observability) matrix is suggested as basis for index of controllability (observability). This index has advantages of being independent of scaling of state variables and being a continuous function of parameters of process.

Copyright © 1975 by ASME
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