Computation of Optimal Disturbances for Delay Systems
- Authors: Nechepurenko Y.M.1, Khristichenko M.Y.2
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Affiliations:
- Marchuk Institute of Computational Mathematics, Russian Academy of Sciences
- Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
- Issue: Vol 59, No 5 (2019)
- Pages: 731-746
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180556
- DOI: https://doi.org/10.1134/S0965542519050129
- ID: 180556
Cite item
Abstract
Novel fast algorithms for computing the maximum amplification of the norm of solution and optimal disturbances for delay systems are proposed and justified. The proposed algorithms are tested on a system of four nonlinear delay differential equations providing a model for the experimental infection caused by the lymphocytic choriomeningitis virus (LCMV). Numerical results are discussed.
About the authors
Yu. M. Nechepurenko
Marchuk Institute of Computational Mathematics, Russian Academy of Sciences
Email: misha.hrist@gmail.com
Russian Federation, Moscow, 119333
M. Yu. Khristichenko
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Author for correspondence.
Email: misha.hrist@gmail.com
Russian Federation, Moscow, 125047
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