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Chapitre D'ouvrage Année : 2004

Robust Stability Conditions of Quasipolynomials by Frequency Sweeping

Résumé

In this chapter we study the robust stability independent of delay of some class of uncertain quasipolynomials, whose coefficients may vary in a certain prescribed range. OUr main contributions include frequency-sweeping conditions for interval, diamond and spherical quasipolynomial families. The correspoding results provide necessary and sufficient conditions, and are easy to check, requiring only the computation of two simple frequency-dependent functions. Various extensions (polytopic uncertainty, multivariate polynomials) are also presented.
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Dates et versions

hal-02329763 , version 1 (23-10-2019)

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Jie Chen, Silviu-Iulian Niculescu. Robust Stability Conditions of Quasipolynomials by Frequency Sweeping. Silviu Iulian Niculescu; Keqin Gu. Advances in time-delay systems, 38, Springer Berlin Heidelberg, pp.43-60, 2004, Lecture Notes in Computational Science and Engineering, 978-3-642-18482-6. ⟨10.1007/978-3-642-18482-6_3⟩. ⟨hal-02329763⟩
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