Differential stability of solutions to constrained optimization problems

DOI10.1007/BF01442201zbMath0572.49012MaRDI QIDQ1062270

Jan Sokolowski

Publication date: 1985

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

zbMATH Keywords

sensitivity analysisHilbert spaceconstrained optimal control problemsdirectional (one-sided) differentiabilityprojection onto a closed, convex set

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Fréchet and Gateaux differentiability in optimization (49J50) Linear systems in control theory (93C05) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Derivatives of functions in infinite-dimensional spaces (46G05) Inner product spaces and their generalizations, Hilbert spaces (46C99)

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Cites Work

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• Sensitivity Analysis of Control Constrained Optimal Control Problems for Distributed Parameter Systems