Computation of Optimal Disturbances for Delay Systems


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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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