The stability radius of a continuous function f (in a functional space F) with respect to an open stability domain D is the distance between f and the set of unstable functions (with respect to D). We say that a function is stable with respect to D if its spectrum is in D. Here, the notion of spectrum is defined on a case by case basis, as explained below.
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“Two things in America are astonishing: the changeableness of most human behavior and the strange stability of certain principles. Men are constantly on the move, but the spirit of humanity seems almost unmoved.”
—Alexis de Tocqueville (1805–1859)
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