Geodesic
Singular perturbations in optimal control problem with application to nonlinear structural analysis
Applications of Mathematics, Tome 41 (1996) no. 4, pp. 299-320.

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This paper concerns an optimal control problem of elliptic singular perturbations in variational inequalities (with controls appearing in coefficients, right hand sides and convex sets of states as well). The existence of an optimal control is verified. Applications to the optimal control of an elasto-plastic plate with a small rigidity and with an obstacle are presented. For elasto-plastic plates with a moving part of the boundary a primal finite element model is applied and a convergence result is obtained.
DOI : 10.21136/AM.1996.134328
Classification : 35J85, 49A27, 49A29, 49B34, 49J40, 74K20
Keywords: optimal control problem; singular perturbations in variational inequalities; convex set; elasto-plastic plate; small rigidity; obstacle 
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     author = {Lov{\'\i}\v{s}ek, J\'an},
     title = {Singular perturbations in optimal control problem with application to nonlinear structural analysis},
     journal = {Applications of Mathematics},
     pages = {299--320},
     publisher = {mathdoc},
     volume = {41},
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     doi = {10.21136/AM.1996.134328},
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     zbl = {0870.49003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1996.134328/}
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Lovíšek, Ján. Singular perturbations in optimal control problem with application to nonlinear structural analysis. Applications of Mathematics, Tome 41 (1996) no. 4, pp. 299-320. doi : 10.21136/AM.1996.134328. http://geodesic.mathdoc.fr/articles/10.21136/AM.1996.134328/

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