Adaptive control for nonlinear compartmental dynamical systems with applications to clinical pharmacology

Systems and Control Letters

Volumn 55, Issue 1, 2006, Pages 62-70

  Haddad, Wassim M ^a   Hayakawa, Tomohisa ^b   Bailey, James M ^c  

^a Georgia Institute of Technology   (United States)

^b JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

^c Northeast Georgia Medical Center   (United States)

Author keywords

Adaptive control; Automated anesthesia; Bispectral index; Electroencephalography; Nonlinear compartmental systems; Nonnegative control; Set point regulation

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROL EQUIPMENT; DRUG PRODUCTS; ELECTROENCEPHALOGRAPHY; MEDICINE; NONLINEAR CONTROL SYSTEMS; PHYSIOLOGY; SURGERY;

AUTOMATED ANESTHESIA; BISPECTRAL INDEX; NONLINEAR COMPARTMENTAL SYSTEMS; NONNEGATIVE CONTROL; SET-POINT REGULATION;

ADAPTIVE CONTROL SYSTEMS;

EID: 28444469166     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2005.05.002     Document Type: Article

References (30)

1. A.R. Absalom, N. Sutcliffe, and G.N. Kenny Closed-loop control of anesthesia using bispectral index: performance assessment in patients undergoing major orthopedic surgery under combined general and regional anesthesia Anesthesiology 96 1 2002 67 73
2. J.M. Bailey, and W.M. Haddad Drug dosing control in clinical pharmacology: paradigms, benefits, and challenges IEEE Control Systems Mag. 25 2 2005 35 51
3. G. Bastin, Issues in modeling and control of mass-balance systems, in: D. Aeyels, F. Lamnabhi-Lagarrigue, A.J. van der Schaft (Eds.), Stability and Stabilization of Nonlinear Systems, Lecture Notes in Control and Information Sciences, vol. 246, Springer, Berlin, 1999, pp. 53-74.
4. G. Bastin, L. Praly, Feedback stabilization with positive control of a class of dissipative mass-balance systems, Proceedings of the 14th IFAC World Congress, Beijing, PR China, 1999, pp. 79-83.
5. A. Berman, and R.J. Plemmons Nonnegative Matrices in the Mathematical Sciences 1979 Academic Press New York, NY
6. P. De Leenheer, and D. Aeyels Stability properties of equilibria of classes of cooperative systems IEEE Trans. Automat. Control 46 2001 1996 2001
7. P. De Leenheer, and D. Aeyels Stabilization of positive systems with first integrals Automatica 38 2002 1583 1589
8. R.G. Eckenhoff, and J.S. Johansson On the relevance of "clinically relevant concentrations" of inhaled anesthetics in in vitro experiments Anesthesiology 91 3 1999 856 860
9. P.S. Glass, M. Bloom, L. Kearse, C. Rosow, P. Sebel, and P. Manberg Bispectral analysis measures sedation and memory effects of propofol, midazolam, isoflurane, and alfentanil in normal volunteers Anesthesiology 86 4 1997 836 847
10. W.M. Haddad, and V. Chellaboina Stability and dissipativity theory for nonnegative dynamical systems: a unified analysis framework for biological and physiological systems Nonlinear Anal.: Real World Appl. 6 2005 35 65
11. W.M. Haddad, and T. Hayakawa Adaptive control for nonlinear nonnegative dynamical systems Automatica 40 2004 1637 1642
12. W.M. Haddad, T. Hayakawa, and J.M. Bailey Adaptive control for nonnegative and compartmental dynamical systems with applications to general anesthesia Internat. J. Adaptive Control Signal Process. 17 2003 209 235
13. A.V. Hill The possible effects of the aggregation of the molecules of haemoglobin on its dissociation curves J. Physiol. 40 1 1910 iv vii
14. L. Imsland, B.A. Foss, State feedback set stabilization for a class of nonlinear systems, in: L. Benvenuti, A. De Santis, L. Farina (Eds.), Positive Systems, Lecture Notes in Control and Information Sciences, vol. 294, Springer, Berlin, 2003, pp. 337-344.
15. J.A. Jacquez Compartmental Analysis in Biology and Medicine 1985 University of Michigan Press Ann Arbor, MI
16. J.A. Jacquez, and C.P. Simon Qualitative theory for compartmental systems SIAM Rev. 35 1 1993 43 79
17. E. Kaszkurewicz, and A. Bhaya Matrix Diagonal Stability in Systems and Computation 2000 Birkhauser Boston, MA
18. T. Kazama, K. Ikeda, and K. Morita The pharmacodynamic interaction between propofol and fentanyl with respect to the suppression of somatic or hemodynamic responses to skin incision, peritoneum incision, and abdominal wall retraction Anesthesiology 89 4 1998 894 906
19. T. Kazama, K. Ikeda, K. Morita, M. Kukura, M. Doi, T. Ikeda, and T. Kurita Comparison of the effect site Ke0s of propofol for blood pressure and EEG bispectral index in elderly and young patients Anesthesiology 90 6 1999 1517 1527
20. H.K. Khalil Nonlinear Systems 1996 Prentice-Hall Upper Saddle River, NJ
21. D.A. Linkens, M.F. Abbod, and J.E. Peacock Clinical implementation of advanced control in anaesthesia Trans. Inst. Meas. Control 22 4 2000 303 330
22. B. Marsh, M. White, N. Morton, and G.N. Kenny Pharmacokinetic model driven infusion of propofol in children British J. Anaesth. 67 1 1991 41 48
23. E. Mortier, M. Struys, T. De Smet, L. Versichelen, and G. Rolly Closed-loop controlled administration of propofol using bispectral analysis Anaesthesia 53 8 1998 749 754
24. M. Muzi, R.A. Berens, J.P. Kampine, and T.J. Ebert Venodilation contributes to propofol-mediated hypotension in humans Anesth. Analg. 74 6 1992 877 883
25. T.W. Schnider, C.F. Minto, and D.R. Stanski The effect compartment concept in pharmacodynamic modelling Anaesth. Pharmacol. Rev. 2 1994 204 213
26. H. Schwilden, J. Schuttler, and H. Stoeckel Closed-loop feedback control of methohexital anesthesia by quantitative EEG analysis in humans Anesthesiology 67 3 1987 341 347
27. J.C. Sigl, and N.G. Chamoun An introduction to bispectral analysis for the electroencephalogram J. Clin. Monit. 10 6 1994 392 404
28. H.L. Smith Monotone Dynamical Systems 1995 American Mathematical Society Providence, RI
29. M. Struys, T. De Smet, L. Versichelen, S. Van de Vilde, R. Van den Broecke, and E. Mortier Comparison of closed-loop controlled administration of propofol using BIS as the controlled variable versus "standard practice" controlled administration Anesthesiology 95 1 2001 6 17
30. R.N. Upton, G.I. Ludrook, C. Grant, and A. Martinez Cardiac output is a determinant of the initial concentration of propofol after short-term administration Anesth. Analg. 89 3 1999 545 552