Symmetric matrix polynomial equation: Interpolation results

Automatica

Volumn 34, Issue 7, 1998, Pages 811-824

  Henrion, Didier ^a   Šebek, Michael ^b  

^a LAAS CNRS   (France)

^b INSTITUTE OF MATHEMATICS   (Czech Republic)

Author keywords

Computer aided control system design; Continuous time systems; Efficient algorithms; Interpolation algorithms; Matrix polynomial equations; Numerical methods

Indexed keywords

ALGORITHMS; COMPUTER AIDED DESIGN; INTERPOLATION; MATRIX ALGEBRA; NUMERICAL METHODS; POLYNOMIALS; SYSTEM STABILITY;

SYLVESTER RESULTANT MATRICES; SYMMETRIC MATRIX POLYNOMIAL EQUATIONS;

CONTROL SYSTEM SYNTHESIS;

EID: 0032120065     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(98)00029-6     Document Type: Article

References (11)

1. Antsaklis, P. J. and Z. Gao (1993). Polynomial and rational matrix interpolation : Theory and control applications. Int. J. Control, 58(1), 349-404.
2. Barnett, S. (1983). Polynomials and Linear Control Systems. Pure and Applied Mathematics. Marcel Dekker, New York.
3. Chen, C. T. (1984). Linear System Theory and Design. Holt, Rinehart and Winston, New York.
4. Golub, G. H. and C. F. Van Loan (1989). Matrix Computations, 2nd edn. The Johns Hopkins University Press, Baltimore, MD.
5. Ježek, J. and V. Kučera (1985). Efficient algorithm for matrix spectral factorization. Automatica, 21(6), 663-669.
6. Ježek, J. (1986). Symmetric matrix polynomial equations. Kybernetika, 22(1), 19-30.
7. Kailath, T. (1980). Linear systems. Prentice-Hall, Englewood Cliffs, NJ.
8. Kwakernaak, H. and M. Šebek (1997). The Polynomial Toolbox for MATLAB, Version 1.5. Available as freeware at URL http://www.math.utwente.nl/polbox.
9. Lancaster, P. and M. Tismenetsky (1985). The Theory of Matrices, 2nd edn. Academic Press, New York.
10. Söderström, T., J. Ježek and V. Kučera (1998). An efficient and versatile algorithm for computing the covariance function of an ARMA process. IEEE Transactions on Signal Processing, to appear.
11. Stefanidis, P., A. P. Papliński and M. J. Gibbard (1992). Numerical operations with polynomial matrices: application to multi-variable dynamic compensator design. Lecture Notes in Control and Information Sciences, vol. 171, Springer, Berlin.