Adjoint Sensitivity Analysis for Nonsmooth Differential-Algebraic Equation Systems
作者： Ralf Hannemann-Tamás , Diego A. Mun͂oz , Wolfgang Marquardt
DOI: 10.1137/140976315
关键词: Differential (mathematics) 、 Adjoint equation 、 Ode 、 Sensitivity (control systems) 、 Differential algebraic equation 、 Applied mathematics 、 Generalization 、 Algebraic number 、 Mathematics 、 Mathematical analysis
摘要: An adjoint sensitivity method is presented for nonsmooth semiexplicit differential-algebraic equation systems (NDAEs) of index 1. The system derived a generalization Mayer-type functionals subject to NDAE constraints. Opposed classical that depend on the differential and algebraic variables evaluated only at initial final times, depends additionally evaluation multiple interior time points. extends builds smooth DAEs by Cao et al. [SIAM J. Sci. Comput., 24 (2003), pp. 1076--1089] ODEs Ruban [J. Comput. Systems Internat., 36 (1997), 536--542].
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