Optimal disturbances for periodic solutions of time-delay differential equations

DOI10.1515/RNAM-2022-0017zbMath1497.65105OpenAlexW4293066259WikidataQ115235801 ScholiaQ115235801MaRDI QIDQ2168891

Michael Yu. Khristichenko, Yuri M. Nechepurenko

Publication date: 26 August 2022

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-2022-0017

zbMATH Keywords

periodic solutionstime-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) Periodic solutions to functional-differential equations (34K13) General biology and biomathematics (92B05) Systems biology, networks (92C42) Numerical methods for functional-differential equations (65L03)

Related Items (1)

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

Cites Work

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• Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices
• Theory of functional differential equations. 2nd ed
• Maximum response perturbation-based control of virus infection model with time-delays
• Optimal disturbances of bistable time-delay systems modeling virus infections
• Computation of periodic solutions to models of infectious disease dynamics and immune response
• Bistability analysis of virus infection models with time delays
• Computation of optimal disturbances for delay systems
• Optimal perturbations of systems with delayed independent variables for control of dynamics of infectious diseases based on multicomponent actions

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