TY - GEN

T1 - A gain-based lower bound algorithm for real and mixed μ problems

AU - Seiler, Pete

AU - Balas, Gary

AU - Packard, Andrew

N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.

PY - 2006

Y1 - 2006

N2 - In this paper we present a new lower bound algorithm for real and mixed μ problems. The basic idea of this algorithm is to use a related worst-case gain problem to compute the real blocks and, if the block structure is mixed, the standard power iteration to compute the complex blocks. Initial numerical tests indicate that the algorithm is fast and provides good bounds for both real and mixed μ problems of small to moderate size.

AB - In this paper we present a new lower bound algorithm for real and mixed μ problems. The basic idea of this algorithm is to use a related worst-case gain problem to compute the real blocks and, if the block structure is mixed, the standard power iteration to compute the complex blocks. Initial numerical tests indicate that the algorithm is fast and provides good bounds for both real and mixed μ problems of small to moderate size.

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M3 - Conference contribution

AN - SCOPUS:39649088943

SN - 1424401712

SN - 9781424401710

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 3548

EP - 3553

BT - Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC

T2 - 45th IEEE Conference on Decision and Control 2006, CDC

Y2 - 13 December 2006 through 15 December 2006

ER -