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Improved upper bounds of the structured singular value

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2 Author(s)
Minyue Fu ; Dept. of Electr. & Comput. Eng., Newcastle Univ., NSW, Australia ; Barabanov, N.E.

Takes a new look at the mixed structured singular value problem. Several new upper bounds are proposed using a very simple approach which the authors call the multiplier approach. These new bounds are convex, computable by using the linear matrix inequality (LMI) method, and numerically efficient in many robust stability problems. The authors show, most importantly, that these upper bounds are actually lower bounds of a well-known upper bound which involves the so-called D-scaling (for complex perturbations) and G-scaling (for real perturbations)

Published in:

Decision and Control, 1995., Proceedings of the 34th IEEE Conference on  (Volume:3 )

Date of Conference:

13-15 Dec 1995