0453289 20240103211521.920160229235959.9 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 fractional-step time discretization quadratic programming gradient evaluation variational analysis implicit programming approach limiting subdifferential coderivative nonsmooth contact mechanics delamination cav_un_auth*0309054 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Adam Lukáš UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101173 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Outrata Jiří UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101187 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Roubíček Tomáš UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2016/MTR/adam-0453289.pdf cav_un_auth*0318139 SVV 260225/2015 GA UK CZ cav_un_auth*0292622 GA13-25911S GA ČR cav_un_auth*0292653 GA13-18652S GA ČR cav_un_auth*0263489 GAP201/10/0357 GA ČR cav_un_auth*0289475 GAP201/12/0671 GA ČR CZ A class of evolution quasistatic systems which leads, after a suitable time discretization, to recursive nonlinear 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 (MPEC). 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 semi-implicit 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 UT-L 10000 10100 10101 UT-L BA RVO:67985556 RVO:61388998 http://hdl.handle.net/11104/0257074 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 000415761800006 WOS cav_un_epca*0258218 Optimization 0233-1934 1029-4945 Roč. 66 č. 12 2017 2025 2049 Taylor & Francis