Computational Control of an HIV Model

Summary

The optimal control problem is transformed using the control parameterisation enhancing technique (CPET), which enables efficient computation of an optimal control using a relatively coarse discretisation.

Keywords

Theory of computation, Optimal control, Discretization, Computation, Mathematical optimization

References

OPTIMIZING CHEMOTHERAPY IN AN HIV MODELK. Renee Fister, Suzanne Lenhart, J. Scott McNally — 1998
An optimal control approach to manpower planning problemJoseph H. W. Lee, Xiaoqiang Cai, Kok Lay Teo — 2001
Sensor scheduling in continuous timeJoseph H. W. Lee, Kok Lay Teo, Andrew E. B. Lim — 2001
An optimal control approach to nonlinear mixed integer programming problemsJoseph H. W. Lee, Kok Lay Teo, Xiaoqiang Cai — 1998
Construction of Suboptimal Feedback Control for Chaotic Systems using B-splines with Optimally Chosen knot PointsJoseph H. W. Lee, K. L. Teo, W. R. Lee — 2001
A mathematical model and CD4+ lymphocyte dynamics in HIV infection.T Hrabă, Jaroslav Doležal — 1996
Control parametrization enhancing technique for optimal discrete-valued control problemsJoseph H. W. Lee, Kok Lay Teo, Volker Rehbock — 1999
The control parametrization enhancing transform for constrained time--delayed optimal control problemsK. H. Wong, L.S. Jennings, Francis Benyah — 2002
A minmax principle, index of the critical point, and existence of sign-changing solutions to elliptic boundary value problemsAlfonso Castro, Jorge Cossío, John M. Neuberger — 1998
The control parameterization enhancing transform for constrained optimal control problemsKok Lay Teo, L.S. Jennings, Joseph H. W. Lee — 1999
Control parametrization enhancing technique for time optimal control problemsH.W.J. Lee, Kok Lay Teo, L.S. Jennings — 1997

Cited by

Model Predictive Control for Optimal Anti-HIV Drug AdministrationHassan Zarei, Ali Vahidian Kamyad, Sohrab Effati — 2011
Optimal Estimation of Parameters for an HIV ModelDanna Sun, Zhaoying Jiang, Ziku Wu — 2013
Multiobjective Optimal Control of HIV DynamicsHassan Zarei, Ali Vahidian Kamyad, Sohrab Effati — 2010
An Adaptive Memetic Algorithm With Dynamic Population Management for Designing HIV Multidrug TherapiesHassan Zarei, Ali Vahidian Kamyad, Sohrab Effati — 2011
Differential equation approximation and enhancing control method for finding the PID gain of a quarter-car suspension model with state-dependent ODEJoseph H. W. Lee, Y. C. E. Lee, K. H. Wong — 2020
The Control Parametrization Enhancing Technique for Multi-Objective Optimal Control of HIV DynamicH. Zarei — 2016

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