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How far can we move away from the nominal point p (under the worst-case scenario) without leaving the region of stability S?

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How far can we move away from the nominal point p (under the worst-case scenario) without leaving the region of stability S?

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The “worst-case scenario” clause determines the “direction” of the perturbations in the value of p’: we move away from p’ in the worst direction. Note that the worst direction depends on the distance from p’. The following picture illustrates the simple concept behind this fundamental question.

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