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• W2327773408 abstract "This paper deals with stability analysis problems for linear systems with real parametric uncertainties. We consider an Euclidean-norm bounded uncertainty set which defines a hypersphere in the space of uncertain parameters. From a statistical point of view, the use of Euclidean-norm bounds can be justified if uncertain parameters are Gaussian-distributed random variables. In the paper, we define an extended version of the real structured singular value, which is referred to as spherical /x, for a hyperspherical parametric uncertainty set. We newly develop an upper bound of spherical /i. This is similar to a well-known upper bound of standard H for a hypercubical parametric uncertainty set and can be computed by solving linear matrix inequality problems with efficient numerical algorithms. We apply the standard and spherical fi tools to a flight control problem. Through this numerical study, it is shown that the spherical /x tool provides less conservative and more realistic results than the standard cubical one." @default.
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• W2327773408 date "2000-08-14" @default.
• W2327773408 modified "2023-09-24" @default.
• W2327773408 title "Extension of real structured singular value with application to flight control analysis" @default.
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• W2327773408 doi "https://doi.org/10.2514/6.2000-4368" @default.
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