Parametric optimization of digitally controlled nonlinear reactor dynamics using Zubov-like functional equations

Journal of Mathematical Chemistry

Volumn 38, Issue 4, 2005, Pages 467-487

  Huynh, Nguyen ^a   Kazantzis, Nikolaos ^a  

^a Worcester Polytechnic Institute   (United States)

Author keywords

Chemical reaction system dynamics; Functional equations; Lyapunov stability; Nonlinear dynamics; Parametric optimization

Indexed keywords

EID: 67349275787     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10910-004-6899-2     Document Type: Article

References (21)

1. J. Tóth, H. Rabitz and A.S. Tomlin, SIAM J. Appl. Math. 57 (1997) 1531.
2. A.N. Gorban and I.V. Karlin, Chem. Eng. Sci. 58 (2003) 4751.
3. A.N. Gorban, I.V. Karlin and A.Y. Zinoyev, Phys. Rep., 336 (2004) 197.
4. M.R. Roussel, J. Math. Chem. 21 (1997)385.
5. P.D. Christofides, Nonlinear and Robust Control of PDE systems (Birkhäuser, Boston, 2001).
6. I.R. Epstein and J.A. Pojman, An Introduction to Nonlinear Chemical Dynamics (Oxford University Press, New York, 1998).
7. A. Isidori, Nonlinear Control Systems: An Introduction (Springer Verlag, New York, 1989)
8. N. Kazantzis, J. Nonlin. Sci. 13 (2003)579.
9. H. Nijmeijer and A.J. Van der Schaft, Nonlinear Dynamical Control Systems (Springer Verlag, Berlin, Germany, 1990).
10. R.E. Kalman and J.E. Bertram, J. Basic Eng. Trans. ASME 82 (1960)371.
11. A.E. Bryson and Y.C. Ho, Applied Optimal Control (Taylor and Francis, Bristol, 1975).
12. C.A. Floudas, Deterministic Global Optimization (Kluwer, New York, 1999).
13. S.N. Elaydi, An Introduction to Difference Equations (Springer Verlag, New York, 1999).
14. P.R. O'Shea, IEEE Trans. Autom. Contr. 9 (1964) 62.
15. Z. Kalogiratou and T.E. Simos, J. Comp. Appl. Math. 158 (2003)75.
16. S.G. Margolis and W.G. Vogt, IEEE Trans. Autom. Contr. 8 (1963)104.
17. N. Kazantzis, Phys. Lett. A 292 (2001) 107.
18. N. Kazantzis and C. Kravaris, Syst. Contr. Lett. 42 (2001) 81.
19. N. Kazantzis, J. Comp. Appl. Math. 146 (2002) 301.
20. R.A. Freeman and P.V. Kokotovic Robust Nonlinear Control Design: State-Space and Lyapunov Techniques (Birkhäuser, Boston, 1996).
21. R.A. Wright and C. Kravaris, AICHE J. 38 (1992) 26.