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On the preservation of stability in families of polynomials via substitutions

✍ Scribed by Guillermo Fernández-Anaya; José Alvarez-Ramírez

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
128 KB
Volume
10
Category
Article
ISSN
1049-8923

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✦ Synopsis

In this work, we use the Hadamard representation of polynomials and several known results on the stability of polynomial families to describe new polynomial families which are stable under substitutions. Such polynomial families can be seen as nonlinear stable perturbations of &small-in-parameters' polynomials. Also, the stability condition can be obtained of the positive de"nitness of certain Bezoutians associated with the even and odd parts of the resulting polynomial families. Some implications of our results for control analysis and design are discussed.

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