Abstract
The families of spherical polynomials provide not very commonly utilized definition of uncertainty bounding set for systems with parametric uncertainty. The principal aim of this contribution is to present such spherical polynomial families, their description and related robust stability analysis. The illustrative example demonstrates an easy-to-use graphical method of robust stability investigation theoretically based on the value set concept and the zero exclusion condition and practically performed through the Polynomial Toolbox for Matlab.
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Matušů, R., Prokop, R. (2015). Robust Stability Analysis for Families of Spherical Polynomials. In: Silhavy, R., Senkerik, R., Oplatkova, Z., Prokopova, Z., Silhavy, P. (eds) Intelligent Systems in Cybernetics and Automation Theory. CSOC 2015. Advances in Intelligent Systems and Computing, vol 348. Springer, Cham. https://doi.org/10.1007/978-3-319-18503-3_6
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DOI: https://doi.org/10.1007/978-3-319-18503-3_6
Publisher Name: Springer, Cham
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