Stability and optimization of distributed-parameter systems

DOI10.1007/BF00882811zbMath0574.73094OpenAlexW2091430978MaRDI QIDQ3693035

A. I. Egorov

Publication date: 1984

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00882811

zbMATH Keywords

optimal controldisplacement fieldtotal energygeneralized solutionHamilton's principleintegral identitydisplacement functionfirst and second derivativesfree and forced vibrationsBellmann equationexistence of second derivatives with respect to timeform of a Fourier seriesfourth derivatives with respect to plate coordinatesinitial conditions in integral formlinear transverse vibrations of platesLyapunov-Bellmann functional

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Optimization problems in solid mechanics (74P99) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

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