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IMA Journal of Mathematical Control and Information Advance Access originally published online on December 21, 2006
IMA Journal of Mathematical Control and Information 2007 24(3):425-433; doi:10.1093/imamci/dnl034
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© The author 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

New conditions on absolute stability of uncertain Lur'e systems and the maximum admissible perturbed bound

Fei Hao{dagger}

The Seventh Research Division, Beijing University of Aeronautics and Astronautics, Beijing 100083, People's Republic of China

{dagger} Email: fhao{at}buaa.edu.cn

Received on April 5, 2006; Accepted on September 10, 2006

The robust absolute stability problem for structured uncertain Lur'e systems is considered in this paper by using Popov criterion and extended strictly positive real lemma. The conditions on robust absolute stability for Lur'e systems with structured uncertainties are established in terms of multilinear matrix inequalities. An estimate of the maximum bound of all admissible perturbations is given by a generalized eigenvalue problem. Finally, a numerical example is worked out to illustrate the efficiency of the main results.

Keywords: uncertain Lur'e systems; structured uncertainties; robust absolute stability; the maximum bound of all admissible perturbations.


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