Abstract
New, algebraic criteria for absolute stability are obtained on the basis of an assumed polynomial form for the frequency condition for absolute stability in a class of systems with a differentiable nonlinearity. Analysis of the polynomial form for the criterion reduces to analyzing the local properties of the polynomials and rational functions on the negative real axis with the aid of Routh–Hurwitz algorithms and calculated real negative roots of the polynomials.
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Barabanov, A.T. Algebraic Criterion for Absolute Stability in a Class of Systems with a Differentiable Nonlinearity. Journal of Mathematical Sciences 107, 4337–4341 (2001). https://doi.org/10.1023/A:1012531812103
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DOI: https://doi.org/10.1023/A:1012531812103