Abstract
In this paper we deal with uncertain transfer functions where the interval parameters appear affine multilinearly in the numerator and denominator polynomial coefficients. The extremal properties of such systems occur on a set of manifolds whose number is independent of the degree of the polynomials involved. These properties are useful in determining the worst case parametric, H ∞ and nonlinear sector bounded stability margins for control systems containing interval parametric uncertainty. These results, which are presented here without proofs generalize previous results obtained by the authors for the linear case.
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References
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© 1992 Birkhäuser Verlag Basel
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Chapellat, H., Keel, L.H., Bhattacharyya, S.P. (1992). Robustness Properties of Multilinear Interval Systems. In: Mansour, M., Balemi, S., Truöl, W. (eds) Robustness of Dynamic Systems with Parameter Uncertainties. Monte Verità. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7268-3_8
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DOI: https://doi.org/10.1007/978-3-0348-7268-3_8
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7270-6
Online ISBN: 978-3-0348-7268-3
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