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Numerical algorithms for discrete linear optimal control problems

delete2025-12-17
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PRE
AI
C
Chechkin, Ivan G. *
K
Khristichenko, Michael Yu.
N
Nechepurenko, Yuri M.
DOI:10.1515/rnam-2025-0029delete
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Abstract

Abstract

En 中文
Original numerical matrix algorithms for solving various optimal control problems for linear discrete control systems are proposed. The performance of the proposed algorithms is demonstrated using the example of a well-known model of HIV infection and immune response dynamics. In particular, the problem of generation of the optimal disturbance of a given stable stationary solution with a given accuracy is considered.
Keywords:
Linear discrete control systems
discrete initial value problem
optimal control
model of HIV infection dynamics

Journal

R
Russian Journal of Numerical Analysis and Mathematical Modelling
IF:
0.6
Papers:
20
Citations:
0

Organization

R
Russian Academy of Sciences
Scholars:
6.9K
Papers: 2.6K
Citations: 1.3W
Cited Papers

Cited Papers

Computation and analysis of optimal disturbances of periodic solution of the hepatitis B dynamics model
err2024-11-26
err0
PREAI
errKhristichenko,Michael Yu.; Mironov,Ilya V.; Nechepurenko,Yuri M.; Grebennikov,Dmitry S.; Bocharov,Gennady A.
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Bifurcation analysis of multistability and hysteresis in a model of HIV infection
err
err0
PREAI
errMironov,I. V.; Khristichenk,M. Yu.; Nechepurenko,Yu. M.; Grebennikov,D. S.; Bocharov,G. A.
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Optimal Control
err
IF0
err1987-01-01
err0
PREAI
errV. M. Alekseev; V. M. Tikhomirov; S. V. Fomin
errShare
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Algorithms for Computer Algebra
err
IF0
err1992-01-01
err0
PREAI
errK. O. Geddes; S. R. Czapor; G. Labahn
errShare
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Stability and Transition in Shear Flows
err2001-01-01
err0
PREAI
errPeter J. Schmid; Dan S. Henningson
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Optimal Disturbances of Bistable Time-Delay Systems Modeling Virus Infections
err2018-09-05
err0
PREAI
errG. A. Bocharov; Yu. M. Nechepurenko; M. Yu. Khristichenko; D. S. Grebennikov
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Maximum response perturbation-based control of virus infection model with time-delays
err2017-10-26
err0
PREAI
errBocharov,Gennady A.; Nechepurenko,Yuri M.; Khristichenko,Michael Yu.; Grebennikov,Dmitry S.
errShare
errSave
Computation and analysis of optimal disturbances of stationary solutions of the hepatitis B dynamics model
err2024-04-25
err0
PREAI
errKhristichenko,Michael Yu.; Nechepurenko,Yuri M.; Mironov,Ilya V.; Grebennikov,Dmitry S.; Bocharov,Gennady A.
errShare
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