[1]
|
D. M. Bortz and P. W. Nelson, “Sensitivity Analysis of a Nonlinear Lumped Parameter Model of HIV Infection Dynamics,” Bulletin of Mathematical Biology, Vol. 66, No. 5, 2004, pp. 1009-1026.
doi:10.1016/j.bulm.2003.10.011
|
[2]
|
N. I. Stilianakis, K. Dietz and D. Schenzle “Analysis of a Model for the Pathogenesis of AIDS,” Mathematical Biosciences, Vol. 145, No. 1, 1997, pp. 27-46.
doi:10.1016/S0025-5564(97)00018-7
|
[3]
|
A. S. Perelson and P.W. Nelson, “Mathematical Analysis of HIV-1 Dynamics in Vivo,” Society for Industrial and Applied Mathematics Review, Vol. 41, No. 1, 1999, pp. 344. doi:10.1137/S0036144598335107
|
[4]
|
M. A. Stafford, L. Corey, Y. Cao, E. S. Daar, D. D. Ho and A. S. Perelson, “Modeling Plasma Virus Concentration during Primary HIV Infection,” Journal of Theoretical Biology, Vol. 203, No. 3, 2000, pp. 285-301.
doi:10.1006/jtbi.2000.1076
|
[5]
|
A. S. Perelson, A. U. Neumann, M. Markowitz, M. Markowitz, J. M. Leonard and D. D. Ho, “HIV-1 Dynamics in Vivo: Virion Clearance Rate, Infected Cell Lifespan, and Viral Generation Time,” Science, Vol. 271, No. 5255, 1996, pp. 1582-1586. doi:10.1126/science.271.5255.1582
|
[6]
|
V. Gajic, “Optimal Control of HIV-Virus Dynamics,” Annals of Biomedical Engineering, Vol. 37, No. 6, 2009, pp. 1251-1261. doi:10.1007/s10439-009-9672-7
|
[7]
|
S. Ge, Z. Tian and T. Lee, “Nonlinear Control of Dynamic Model of HIV-1,” IEEE Transaction on Biomedical Engineering, Vol. 52, No. 6, 2005, pp. 353-361.
doi:10.1109/TBME.2004.840463
|
[8]
|
M. Brandt and G. Chen, “Feedback Control of a Biodynamical Model of HIV-1,” IEEE Transaction on Biomedical Engineering, Vol. 48, No. 7, 2001, pp. 754-759.
doi:10.1109/10.930900
|
[9]
|
I. Craig and X. Xia, “Can HIV/AIDS Be Controlled,” IEEE Control Systems Magazine, Vol. 25, No. 1, 2005, pp. 8083. doi:10.1109/MCS.2005.1388805
|
[10]
|
E. Sontag, “Some New Directions in Control Theory Inspired by Systems Biology,” Systems Biology, Vol. 1, No. 1, 2004, pp. 9-18. doi:10.1049/sb:20045006
|
[11]
|
H. Chang and A. Astolfi, “Immune Response’s Enhancement via Controlled Drug Scheduling,” IEEE Conference on Decision and Control, New Orleans, 12-14 December 2007, pp. 3919-3924. doi:10.1109/CDC.2007.4434462
|
[12]
|
L. Praly and Y. Wang, “Stabilization in Spite of Matched Un-Modeled Dynamics and an Equivalent Definition of Input-to-State Stability,” Mathematics of Control, Signals and Systems, Vol. 9, No. 1, 1996, pp. 1-33.
doi:10.1007/BF01211516
|
[13]
|
R. Sepulchre, M. Jankovic and P. Kokotovic, “Constructive Nonlinear Control,” Springer-Verlag, Berlin, 1997.
|
[14]
|
L. Faubourg and J. Pomet, “Design of Control Lyapnov Functions for ‘Jurdjevic-Quinn’ Systems,” Satbility and Stabilization of Nonlinear Systems, Vol. 246, 1999, pp. 137-150. doi:10.1007/1-84628-577-1_7
|
[15]
|
A. Bacciotti, “Local Stabilizability of Nonlinear Control Systems,” World Scientific, Singapore, 1992.
|
[16]
|
V. Jurjevic and J. Quinn, “Controllability and stability,” Journal of Differential Equations, Vol. 28, No. 3, 1978, pp. 381-389. doi:10.1016/0022-0396(78)90135-3
|
[17]
|
R. Outbib and G. Sallet, “Stabilizability of the Angular Velocity of a Rigid Body Revisited,” Systems and Control Letters, Vol. 18, No. 2, 1992, pp. 93-98.
doi: 10.1016/0167-6911(92)90013-I
|
[18]
|
A. Knorr and R. Srivastava, “Evaluation of HIV-1 Kinetic Models using Quantitative Discrimination Analysis,” Bioinformatics, Vol. 21, No. 8, 2004, pp. 1668-1677.
doi:10.1093/bioinformatics/bti230
|
[19]
|
V. Yadav and S. N. Balakrishnan, “Optimal Impulse Control of Systems with Control Constraints and Application to HIV Treatment,” Proceedings of the 2006 American Control Conference, Minneapolis, 14-16 June 2006, pp. 4824-4829. doi.org/10.1109/ACC.2006.1657484
|
[20]
|
R. Zurakowski and A. R. Teel, “Enhancing Immune Response to HIV Infection using MPC-based Treatment Scheduling,” Proceedings of the 2003 American Control Conference, Denver, 4-6 June 2003, pp. 1182-1187.
doi:10.1109/ACC.2003.1239748
|
[21]
|
A. Korobeinikov, “Global Properties of Basic Virus Dynamics Models,” Bulletin of Mathematical Biology, Vol. 66, No. 4, 2004, pp. 879-883.
doi:10.1016/j.bulm.2004.02.001
|