Algebraic criterion for absolute stability in a class of systems with a differentiable nonlinearity (Q2759357)
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scientific article; zbMATH DE number 1681771
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic criterion for absolute stability in a class of systems with a differentiable nonlinearity |
scientific article; zbMATH DE number 1681771 |
Statements
12 December 2001
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absolute stability
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algebraic criterion
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polynomial form
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differentiable nonlinearity
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Routh-Hurwitz type
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roots of polynomials
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Algebraic criterion for absolute stability in a class of systems with a differentiable nonlinearity (English)
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New algebraic criteria of absolute stability are obtained on the basis of a previously proposed polynomial form of the frequency condition of absolute stability in the class of systems with differentiable nonlinearity. The analysis of a polynomial form criterion is reduced to the analysis of local properties of polynomial and rational functions on the real negative semiaxis by using algorithms of Routh-Hurwitz type and calculations of the real negative roots of polynomials.
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