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A test for root-clustering transformability

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1 Author(s)
Gutman, S. ; University of California, Berkeley, CA, USA

Consider the problem of root clustering: given a square matrix A with spectrum \sigma (A) , for what region S in the complex plane is it possible to state a criterion (necessary and sufficient conditions) so that \sigma (A) \in S ? Recently it has been shown that one subclass Ω of S satisfies a certain transformability condition. In this note we test transformability via polynomial global nonnegativity.

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Automatic Control, IEEE Transactions on  (Volume:27 ,  Issue: 4 )