Robinson Stability of Parametric Constraint Systems via Variational\n Analysis

2016/09/07 by Helmut Gfrerer, Boris S. Mordukhovich, Gfrerer, Helmut +1 · 1 citation
Engineering · #49J53 #90C30 #90C31 #Advanced Control Systems Optimization #Advanced Numerical Analysis Techniques #Dynamics and Control of Mechanical Systems #FOS: Mathematics #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1609.02238

openalex publication_date 2016/09/07 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

This paper investigates a well-posedness property of parametric constraint\nsystems named here Robinson stability. Based on advanced tools of variational\nanalysis and generalized differentiation, we derive first-order and\nsecond-order conditions for this property under minimal constraint\nqualifications and establish relationships of Robinson stability with other\nwell-posedness properties in variational analysis and optimization. The results\nobtained are applied to robust Lipschitzian stability of parametric variational\nsystems.\n

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