Relaxation in the optimal control problem for the Goursat-Darboux system

DOI10.1134/S0037446606010095zbMath1215.49036OpenAlexW1982229178MaRDI QIDQ536630

Nikolaĭ Il'ich Pogodaev

Publication date: 19 May 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446606010095

zbMATH Keywords

expansionrelaxationcontinuous selectorboundary and distributed controls

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Numerical methods of relaxation type (49M20) PDEs in connection with control and optimization (35Q93)

Cites Work

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• Relaxation in nonconvex optimal control problems with subdifferential operators
• \(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Existence theorems
• \(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Relaxation theorems
• Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals
• On some properties of Goursat–Darboux systems with distributed and boundary controls

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