Some extensions and modifications of classical stability tests for polynomials
- 1 August 1983
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 38 (2) , 369-380
- https://doi.org/10.1080/00207178308933081
Abstract
Classical inertia theorems for matrices are used to generate results describing inertia characteristics of perturbed self-adjoint matrix polynomials. These are then employed to derive a generalization of the Liénard-Chipart stability criterion to a class of self-adjoint matrix polynomials. As special cases, variants of the classical stability criteria of Liénard-Chipart and of Markov are obtained. Those criteria are extended to give a description of the inertia of any real polynomial.Keywords
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