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・ Stability 2008
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Stability radius : ウィキペディア英語版
Stability radius
The stability radius of an object (system, function, matrix, parameter) at a given nominal point is the radius of the largest ball, centered at the nominal point, all of whose elements satisfy pre-determined stability conditions. The picture of this intuitive notion is this:
where \hat denotes the nominal point, P denotes the space of all possible values of the object p, and the shaded area, P(s), represents the set of points that satisfy the stability conditions.
== Abstract definition ==
The formal definition of this concept varies, depending on the application area. The following abstract definition is quite useful〔Zlobec S. (2009). Nondifferentiable optimization: Parametric programming. Pp. 2607-2615, in ''Encyclopedia of Optimization,'' Floudas C.A and Pardalos, P.M. editors, Springer.〕〔Sniedovich, M. (2010). A bird's view of info-gap decision theory. ''Journal of Risk Finance,'' 11(3), 268-283.〕
:\hat(\hat):= \max \ \
where B(\rho,\hat) denotes a closed ball of radius \rho in P centered at \hat.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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