Abstract
The weighted multivariable circle criterion contains an arbitrary diagonal matrix that is called the ‘weighting matrix’. In this paper, a method of searching for an adequate weighting matrix is proposed. The choice of the weighting matrix determines the sharpness of the stability criterion obtained. The method is based on the relation between an M-matrix and a positive-definite hermitian matrix. The results of examples show that this method is very useful in obtaining sharper stability conditions.
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