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pro vyhledávání: '"Veliov, Vladimir"'
This is a review paper, summarizing without proofs recent results by the authors on the property of strong metric subregularity (SMSR) in optimization. It presents sufficient conditions for SMSR of the optimality mapping associated with a set of nece
Externí odkaz:
http://arxiv.org/abs/2411.09395
This is mainly a survey on the properties of Strong Metric Regularity (SMR) and Strong Metric subRegularity (SMsR) of mappings representing first order optimality conditions (so-called optimality mappings) of optimization problems in infinite dimensi
Externí odkaz:
http://arxiv.org/abs/2409.19452
Interactions between SARS-CoV-2 and the immune system during infection are complex. However, understanding the within-host SARS-CoV-2 dynamics is of enormous importance, especially when it comes to assessing treatment options. Mathematical models hav
Externí odkaz:
http://arxiv.org/abs/2312.04607
The paper presents results about strong metric subregularity of the optimality mapping associated with the system of first-order necessary optimality conditions for a problem of optimal control of a semilinear parabolic equation. The control has a pr
Externí odkaz:
http://arxiv.org/abs/2212.12926
The paper investigates stability properties of solutions of optimal control problems for semilinear parabolic partial differential equations. H\"older or Lipschitz dependence of the optimal solution on perturbations are obtained for problems in which
Externí odkaz:
http://arxiv.org/abs/2209.08925
This paper investigates stability properties of affine optimal control problems constrained by semilinear elliptic partial differential equations. This is done by studying the so called metric subregularity of the set-valued mapping associated with t
Externí odkaz:
http://arxiv.org/abs/2204.12964
Publikováno v:
In Mathematical Biosciences May 2024 371
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Autor:
Liao-McPherson, Dominic, Nicotra, Marco M., Dontchev, Asen L., Kolmanovsky, Ilya V., Veliov, Vladimir. M.
Model predictive control (MPC) is of increasing interest in applications for constrained control of multivariable systems. However, one of the major obstacles to its broader use is the computation time and effort required to solve a possibly non-conv
Externí odkaz:
http://arxiv.org/abs/1906.11363
Akademický článek
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