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IMA Journal of Mathematical Control and Information 1989 6(3):301-307; doi:10.1093/imamci/6.3.301
© 1989 by Institute of Mathematics and its Applications
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Root-Clustering Criteria (III): The Rational-Mapping Approach

FABIEN CHOJNOWSKI and SHAUL GUTMAN

Department of Mechanical Engineering, Technion – Israel Institute of Technology Haifa, Israel

The third approach to root clustering is based on a rational mapping. By sacrificing root distribution in favour of root clustering, we simplify the restrictions on the admissible region considerably. However, while the root-clustering criterion is simple, we are not able to specify, in a simple manner, the class of admissible regions. Instead, we present an algebraic procedure for constructing all such regions.


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