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pro vyhledávání: '"Karl, Kunisch"'
Optimal feedback control arises in different areas such as aerospace engineering, chemical processing, resource economics, etc. In this context, the application of dynamic programming techniques leads to the solution of fully nonlinear Hamilton-Jacob
Publikováno v:
IEEE Transactions on Automatic Control. :1-14
Publikováno v:
Oberwolfach Reports. 18:419-506
Publikováno v:
European Mathematical Society Magazine. :46-51
Autor:
Behzad Azmi, Karl Kunisch
Publikováno v:
IMA Journal of Numerical Analysis. 42:2984-3021
Aiming at optimization problems governed by partial differential equations (PDEs), local R-linear convergence of the Barzilai–Borwein (BB) method for a class of twice continuously Fréchet-differentiable functions is proven. Relying on this result,
Autor:
Eduardo Casas, Karl Kunisch
Publikováno v:
2022 American Control Conference (ACC).
Autor:
Victor A. Kovtunenko, Karl Kunisch
A class of non-smooth and non-convex optimization problems with penalty constraints linked to variational inequalities (VI) is studied with respect to its shape differentiability. The specific problem stemming from quasi-brittle fracture describes an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75598010b54a5a13780454923c67a940
http://arxiv.org/abs/2204.04569
http://arxiv.org/abs/2204.04569
Autor:
Behzad Azmi, Karl Kunisch
Publikováno v:
Journal of Optimization Theory and Applications volume
The Barzilai and Borwein gradient method has received a significant amount of attention in different fields of optimization. This is due to its simplicity, computational cheapness, and efficiency in practice. In this research, based on spectral analy
Publikováno v:
Journal of Mathematical Imaging and Vision
We investigate a well-known phenomenon of variational approaches in image processing, where typically the best image quality is achieved when the gradient flow process is stopped before converging to a stationary point. This paradox originates from a
Publikováno v:
WOS:000825474900001
The numerical approximation of an optimal control problem governed by a semilinear parabolic equation and constrained by a bound on the spatial $L^1$-norm of the control at every instant of time is studied. Spatial discretizations of the controls by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::553114681f5e2638abc88329b7db8129
http://hdl.handle.net/10651/66958
http://hdl.handle.net/10651/66958