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Stability and Robustness: Reliability in the World of Uncertainty

Stability and Robustness: Reliability in the World of Uncertainty

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Outl<strong>in</strong>eThe <strong>World</strong> <strong>of</strong> Uncerta<strong>in</strong>tyRobust Optimization<strong>Stability</strong> AnalysisConclusion<strong>Stability</strong> analysisHistorical Orig<strong>in</strong>Jacques Hadamard (December 8, 1865 -October 17, 1963) <strong>in</strong>troduced <strong>the</strong> stabilitycondition <strong>and</strong> treated it with<strong>in</strong> <strong>the</strong> concept <strong>of</strong>a well-posed ma<strong>the</strong>matical programm<strong>in</strong>gproblem equally with <strong>the</strong> conditions <strong>of</strong>existence <strong>and</strong> uniqueness <strong>of</strong> <strong>the</strong> solution.GoalsIt appears to be important to allocate classes<strong>of</strong> problems <strong>in</strong> which small changes <strong>of</strong> <strong>in</strong>putdata lead to small changes <strong>of</strong> <strong>the</strong> result.Yury Nikul<strong>in</strong><strong>Stability</strong> <strong>and</strong> <strong>Robustness</strong>: <strong>Reliability</strong> <strong>in</strong> <strong>the</strong> <strong>World</strong> <strong>of</strong> Uncerta<strong>in</strong>ty

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