0482050 20240103215026.920171127235959.9 84948160323 000415761800006 10.1080/02331934.2015.1111364 25 s. P cav_un_epca*02582180233-19346612 (2017)2025-2049Taylor & Francis rate-independent systems optimal control identification cav_un_auth*0309054 Department of Decision Making Theory Adam Lukáš UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR CZ Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101173 Department of Decision Making Theory Outrata Jiří UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0243096 D2 – Thermodynamics Roubíček Tomáš UT-L D 2 - Termodynamika D 2 - Thermodynamics CZ Ústav termomechaniky AV ČR, v. v. i. http://www.tandfonline.com/doi/abs/10.1080/02331934.2015.1111364 cav_un_auth*0263489 GAP201/10/0357 GA ČR cav_un_auth*0304434 GA14-15264S GA ČR A class of evolution quasi-static systems which leads, after a suitable time discretization, to recursive non-linear programs, is considered and optimal control or identification problems governed by such systems are investigated. The resulting problem is an evolutionary Mathematical Programs with Equilibrium Constraints. A subgradient information of the (in general nonsmooth) composite objective function is evaluated and the problem is solved by the implicit programming approach. The abstract theory is illustrated on an identification problem governed by delamination of a unilateral adhesive contact of elastic bodies discretized by finite-element method in space and a semiimplicit formula in time. Being motivated by practical tasks, an identification problem of the fracture toughness and of the elasticity moduli of the adhesive is computationally implemented and tested numerically on a two-dimensional example. Other applications including frictional contacts or bulk damage, plasticity or phase transformations are outlined. BA 10000 10100 10101 2018 3 UTIA-B 10000 10100 10101 RIV/67985556:_____/17:00482050!RIV18-AV0-67985556 191975725 dvojí afiliace 2019 V UTIA-B RIV/67985556:_____/17:00482050!RIV18-GA0-67985556 191965053 dvojí afiliace 2019 V UTIA-B UTIA-B BA RVO:61388998 RVO:67985556 http://hdl.handle.net/11104/0278090 S 3+4 Article|Proceedings Paper Operations Research Management Science|Mathematics Applied 3+4 Article|Proceedings Paper Operations Research Management Science|Mathematics Applied 3+4 Article|Proceedings Paper Operations Research Management Science|Mathematics Applied OPERATIONSRESEARCH&MANAGEMENTSCIENCE|MATHEMATICS.APPLIED 1.084 0.159 7.2 0.00428 0.553 1483 0.736 1.047 126 Q2 35.932 47.6 Q3 Q2 0.71 Q2 62.5 2017 84948160323 SCOPUS PUBMED 000415761800006 WOS cav_un_epca*0258218 Optimization 0233-1934 1029-4945 Roč. 66 č. 12 2017 2025 2049 Taylor & Francis