Volume 15, Issue 18 pp. 905-921
Research Article

Development of a skew μ upper bound

Rod Holland

Corresponding Author

Rod Holland

Holland Engineering Consultants, Fort Collins, Colorado 80526, U.S.A.

Holland Engineering Consultants, 2837 Seccomb, Fort Collins, Colorado 80526, U.S.A.===Search for more papers by this author
Peter Young

Peter Young

Department of Electrical and Computer Engineering, Colorado State University, Fort Collins, Colorado, 80523-1373, U.S.A.

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Chuanjiang Zhu

Chuanjiang Zhu

Department of Electrical and Computer Engineering, Iowa State University, Ames, Iowa, 50011-3060, U.S.A.

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First published: 15 September 2005
Citations: 7

Abstract

Exploitation of the NP hard, mixed μ problem structure provides a polynomial time algorithm that approximates μ with usually reasonable answers. When the problem is extended to the skew μ problem, an extension of the existing method to the skew μ formulation is required. The focus of this paper is to extend the μ upper bound derivation to the skew μ upper bound and show its direct computation by way of an Osborne balancing algorithm and an linear matrix inequality (LMI) algorithm. Copyright © 2005 John Wiley & Sons, Ltd.

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