Dependence of optimal disturbances on periodic solution phases for time-delay systems

DOI10.1515/RNAM-2023-0008OpenAlexW4363651579MaRDI QIDQ6038455

Yuri M. Nechepurenko, Michael Yu. Khristichenko, Gennadii A. Bocharov

Publication date: 2 May 2023

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam-2023-0008

zbMATH Keywords

periodic solutionsLanczos methodtime-delay differential equationsoptimal disturbancesmaximum amplification

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Control/observation systems governed by functional-differential equations (93C23) Perturbations in control/observation systems (93C73) General biology and biomathematics (92B05) Computational methods for problems pertaining to biology (92-08) Systems biology, networks (92C42) Numerical analysis (65-XX)

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• Bistability analysis of virus infection models with time delays
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• Optimal perturbations of systems with delayed independent variables for control of dynamics of infectious diseases based on multicomponent actions

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