Metrically Regular Differential Generalized Equations

DOI10.1137/16M1095366zbMath1383.49046OpenAlexW2786617589MaRDI QIDQ4602531

Mikhail I. Krastanov, Asen L. Dontchev, Radek Cibulka, Vladimir M. Veliov

Publication date: 12 February 2018

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1095366

zbMATH Keywords

optimal controlvariational inequalitycontrol systemdiscrete approximationmetric regularitystrong metric regularitypath-following

Mathematics Subject Classification ID

Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Regularity of solutions in optimal control (49N60) Existence theories for problems in abstract spaces (49J27) Discrete approximations in optimal control (49M25)

Related Items (9)

Continuous selections for inverse mappings in Banach spaces ⋮ Approximating optimal finite horizon feedback by model predictive control ⋮ On the solution stability of parabolic optimal control problems ⋮ Lipschitz Stability in Discretized Optimal Control with Application to SQP ⋮ Existence and continuity of solution trajectories of generalized equations with application in electronics ⋮ On uniform regularity and strong regularity ⋮ Implicit function and tangent cone theorems for singular inclusions and applications to nonlinear programming ⋮ Intrinsic Lipschitz Regularity of Mean-Field Optimal Controls ⋮ On the existence of Lipschitz continuous optimal feedback control

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