An approximation result for normal integrands and applications to relaxed controls theory

DOI10.1016/0022-247X(83)90223-8zbMath0521.49012OpenAlexW2054539240MaRDI QIDQ1054993

Georgios Pappas

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(83)90223-8

zbMATH Keywords

relaxed controlCaratheodory functionnormal integrand

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Functions of several variables (26B99)

Related Items (6)

Periodic solutions of nonlinear evolution inclusions ⋮ Existence of optimal controls for a class of nonlinear distributed parameter systems ⋮ On the relaxation of functionals with contact terms on non-smooth domains ⋮ A note on relaxed control functions ⋮ Optimal control of nonlinear evolution equations with nonmonotone nonlinearities ⋮ Optimal control, sensitivity analysis and relaxation of maximal monotone integro-differential inclusions in \(\mathbb{R}^ N\)

Cites Work

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• Optimal solutions to differential inclusions in presence of state constraints
• Stochastic optimal control. The discrete time case
• Existence theorems for general control problems of Bolza and Lagrange

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