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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2019 Volume 59, Number 5, Pages 775–791 (Mi zvmmf10891)

This article is cited in 6 papers

Computation of optimal disturbances for delay systems

Yu. M. Nechepurenkoa, M. Yu. Khristichenkob

a Marchuk Institute of Computational Mathematics, Russian Academy of Sciences, Moscow, 119333 Russia
b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia

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.

Key words: optimal disturbances, delay differential equations, maximum amplification, Lanczos method, successive maximization.

UDC: 519.62

Received: 25.05.2018
Revised: 28.11.2018
Accepted: 11.01.2019

DOI: 10.1134/S0044466919050120


 English version:
Computational Mathematics and Mathematical Physics, 2019, 59:5, 731–746

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