RKH space methods for low level monitoring and control of nonlinear systems II. A Vector-case example: The Lorenz system

Mathematical Models and Methods in Applied Sciences

Volumn 7, Issue 6, 1997, Pages 823-845

  Cover, Alan ^a   Reneke, James ^a   Lenhart, Suzanne ^b   Protopopescu, Vladimir ^c  

^a CLEMSON UNIVERSITY   (United States)

^b UNIVERSITY OF TENNESSEE   (United States)

^c OAK RIDGE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031508348     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202597000426     Document Type: Article

References (10)

1. A. S. Cover, J. A. Reneke, M. Fryer, S. Lenhart, and V. Protopopescu, RKH space methods for low level monitoring and control of nonlinear systems, Math. Models Methods Appl. Sci. 6 (1996) 77-96.
2. G. H. Golub and C. F. Van Loan, Matrix Computations (The Johns Hopkins University Press, 1983).
3. E. Parzen, An approach to time series analysis, Ann. Math. Statist. 32 (1961) 951-989.
4. L. Perko, Differential Equations and Dynamical Systems (Springer-Verlag, 1991).
5. J. A. Reneke, Stochastic linearization of nonlinear point dissipative systems, preprint, 1995.
6. J. A. Reneke, R. E. Fennell, and R. B. Minton, Structure Hereditary System (Marcel Dekker, 1987).
7. J. B. Roberts and P. D. Spanos, Random Vibration and Statistical Linearization (John Wiley & Sons, 1990).
8. D. L. Russell, Mathematics of Finite-Dimensional Control System; Theory and Design (Marcel Dekker, 1979).
9. C. Sparrow, The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors (Springer-Verlag, 1982).
10. G. Wahba, Spline Models for Observational Data (SIAM, 1990).