Finite-dimensional approximations in the derivation of necessary optimality conditions in nonsmooth constrained optimal control

DOI10.1016/j.na.2005.02.006zbMath1224.49023OpenAlexW1993087783MaRDI QIDQ999961

Ilya A. Shvartsman

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.006

zbMATH Keywords

optimal controlfirst-order necessary conditionsnonlinear controlsubdifferentialPontryagin's maximum principlenonsmoothness

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (1)

Calculus of variations and optimal control for generalized functions

Cites Work

• A Lagrange multiplier rule with small convex-valued subdifferentials for nonsmooth problems of mathematical programming involving equality and nonfunctional constraints
• A simple `finite approximations' proof of the Pontryagin maximum principle under reduced differentiability hypotheses

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