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Publication

KIAM Preprint № 120, Moscow, 2018
Authors: Nechepurenko Yu.M., Khristichenko M.Yu.
Development and analysis of algorithms for computing optimal disturbances for delay systems
Abstract:
New fast algorithms for computing the maximum amplification of solution norms and optimal disturbances are proposed and justified for delay systems. The proposed algorithms were tested on a system of four nonlinear differential equations with time delay, which is a model of experimental infection caused by lymphocytic choriomeningitis virus. Results of numerical experiments are presented and discussed.
Keywords:
optimal disturbances, delay-differential equations, maximum amplification, Lanczos method, alternating maximization
Publication language: russian, pages: 26
Research direction:
Mathematical modelling in actual problems of science and technics
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