Passivity and Optimal Control of Singular Biological Complex Systems
Passivity and passive control research for singular systems has been effectively developed in [22, 6, 9, 20, 2, 14, 13, 3, 18, 19]. However, there are few references involving any applications of these passive theorems for singular systems to biological complex systems. Therefore, passivity and its associated control research for biological complex systems are of great interest.
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References
Alfonseca, M., Bravo, M.T.M., Torrea, J.L.: Mathematical model for the analysis of hepatitis B and AIDS epidemics. Simu. 74(4), 219–226 (2000)
Belura, M.N., Trentelmanb, H.L.: The strict dissipativity synthesis problems and the rank of the coupling QDF. Syst. Cont. Lett. 51, 247–258 (2004)
Boyd, S., Ghaoui, E., Feron, E., Balakrishnan, V.: Linear Matrix Inequalities in Systems and Control Theory. SIAM, Philadelphia (1994)
Cao, H.L.: Prevalent situation of hepatitis virus B in China. Chi. J. Vac. Immu. 2(2), 88–90 (1996)
Dai, L.: Singular Control System. Springer, New York (1989)
Dong, X.Z., Zhang, Q.L.: Robust passive control for singular systems with time-varying uncertainties. Cont. Theo. Appl. 21, 517–520 (2004)
Dong, X.Z., Zhang, Q.L., Zhao, L.C.: Passive control of linear singular systems. J. Biomath. 19, 185–187 (2004)
Gohary, A.E., Bukhari, F.A.: Optimal stabilization of steady states of the genital herpes epidemic during infinite and finite time intervals. Appl. Mathe. Compu. 137(1), 33–47 (2003)
Fridman, E., Shaked, U.: On delay-dependent passivity. IEEE Trans. Auto. Cont. 47, 664–669 (2002)
Harrison, P.T.: Reproductive health in humans and wildlife: Are adverse trends associated with environmental chemical exposure. Sci. Tot. Envi. 205, 97–106 (1997)
Hung, J.H., Chu, C.J., Sung, P.L., Chen, C.Y., Chao, K.C., Yang, M.J., Huang, S.C.: Lamivudine therapy in the treatment of chronic hepatitis B with acute exacerbation during pregnancy. J. Chi. Med. Asso. 71(3), 155–158 (2008)
Ingardia, C.J., Kelley, L., Steinfeld, J.D., Wax, J.R.: Hepatitis B vaccination in pregnancy: Factors influencing efficacy. Obs. Gyn. 93(6), 983–986 (1999)
Jimenez, B.: Environmental effects of endocrine disruptors and current methodologies for assessing wildlife health effects. Tre. Anal. Che. 16, 596–606 (1997)
Li, G.F., Li, H.Y.: Observer-based passive control for uncertain linear systems with delay in state and control input. Chn. Phys. 14, 2379–2386 (2005)
Matveev, A.S., Savkin, A.V.: Application of optimal control theory to analysis of cancer chemotherapy regimens. Syst. Cont. Lett. 46(5), 311–321 (2002)
Medley, G.F., Lindop, N.A., Edmunds, W.J.: Hepatitis B virus endemicity: Heterogeneity catastrophic dynamics and control. Nat. Med. 7(5), 619–624 (2001)
Ogren, P., Martin, C.F.: Vaccination strategeies for epidemics in highly mobile populations. Appl. Mathe. Compu. 137(1), 33–47 (2003)
Tsuguchika, K.: Modeling of signaling pathways for endocrine disruptors. Bios. 55, 23–31 (1999)
Warren, G.F.: Human development exposure to endocrine active compounds. Envi. Toxi. Pha. 12, 75–81 (2002)
Xie, S.L., Xie, L.H.: Robust dissipative control for linear systems with dissipative uncertainty and nonlinear perturbation. Syst. Cont. Lett. 29, 255–268 (1997)
Xu, J., Zhou, Y.C.: Hepatitis epidemics models with proportional and pulse vaccination. J. Biomath. 19(2), 149–155 (2004)
Yu, L., Pan, H.T.: Robust passive control of linear systems with time-varying uncertain parameters. Acta Auto. Sini. 24, 368–372 (1998)
Zhao, S.J., Xu, Z.Y., Lu, Y.: Mathematical model of hepatitis B virus transmission and its application for vaccination strategy in China. Int. J. Epide. 29(4), 744–752 (2000)
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Zhang, Q., Liu, C., Zhang, X. (2012). Mechanics and Control in Singular Physiological Complex Systems. In: Complexity, Analysis and Control of Singular Biological Systems. Lecture Notes in Control and Information Sciences, vol 421. Springer, London. https://doi.org/10.1007/978-1-4471-2303-3_12
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DOI: https://doi.org/10.1007/978-1-4471-2303-3_12
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