Control theoretic smoothing splines

IEEE Transactions on Automatic Control

Volumn 45, Issue 12, 2000, Pages 2271-2279

  Sun, Shan ^b   Egerstedt, Magnus B ^a,c   Martin, Clyde F ^a,b  

^a IEEE   (United States)

^b TEXAS TECH UNIVERSITY   (United States)

^c ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

SMOOTHING SPLINES;

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; INTERPOLATION; LINEAR CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS; STATISTICAL METHODS;

SPLINES;

EID: 0034471274     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.895563     Document Type: Article

References (8)

1. P. Davis, Interpolation and Approximation Boston, MA, 1963.
2. P. Davis and P. Rabinowitz, Methods of Numerical Integration. New York: Academic, 1984.
3. B. Doolin and C. F. Martin, Introduction to Differential Geometry for Control Engineers. New York: Marcel Dekker, 1990.
4. D. Luenberger, Optimization by Vector Space Methods. New York: Wiley, 1969.
5. C. F. Martin, " Finite escape time for Riccati differential equations," Syst. Contr. Lett., vol. 1, pp. 121-131, 1981.
6. B. Silverman, "Some aspects of the spline smoothing approach to non-parametric regression curve fitting," J. Royal Statist. Soc. B., pp. 1-52, 1985.
7. G. Wahba, "Spline models for observational data," in Proc. CBMS-NSF Regional Conf. Series in Applied Mathematics. Philadelphia: SIAM, 1990.
8. Z. Zhang, J. Tomlinson, and C. F. Martin, "Splines and linear control theory," Acta Math. Appl., vol. 49, pp. 1-34, 1997.