Robust and Well Conditioned Eigenstructure Assignment via Sylvester's Equation

Proceedings of the American Control Conference

Volumn 1982-June, Issue , 1982, Pages 1053-1057

  Cavin, R K ^a   Bhattacharyya, S P ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; POLES;

ALGORITHMIC SOLUTIONS; CANONICAL FORM; CO-ORDINATE TRANSFORMATION; EIGENSTRUCTURE ASSIGNMENT; EIGENVALUE SENSITIVITY; EIGENVECTOR MATRICES; POLE ASSIGNMENT; POLE ASSIGNMENT THEORY;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 57049116925     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/acc.1982.4788018     Document Type: Conference Paper

References (8)

1. W. M. Wonham, "Linear Multivarialbe Control: A Geometric Approach", Springer Verlag, 1979.
2. J. H. Wilkinson, The Algebraic Eigenvalue Probelm, Oxford, Clavendon Press, 1965.
3. S. P. Bhattacharyya and E. de Souza, "Pole assignment via Sylvester's equation", To appear in Systems and Controls Letters, vol. 1, no. 31, December 1981.
4. R. H. Bartels and G. W. Stewart, "Solution of the matrix equation AX + XB = C", Corn. ACM, vol. 15, pp. 820-826, 1972.
5. C. H. Colub, S. Nash and C. Van Loan, "A Hessenberg-Schur method for the problem AX + XB = C", IEEE Trans. Automat. Control, vol. AC-24, pp. 909-913, 1979.
6. G. H. Colub and J. H. Wilkinson,. "Ill Conditioned-Eigen-Systems and the Computation of the Jordan Canonical Form", SIAM Review, vol. 18, no. 4, October 1976, pp. 578-619.
7. B. C. Moore, "On the flexibility offered by state feedback in multivariable systems beyond closed loop eigenvalue assignment", IEEE Trans. on Ant. Contr., AC-21 (5), 1976,. pp. 689-692.
8. E. de Souza and S. P. Bhattacharyya, "Controllability, observability and the solution of AX-)B = C"o, Lin. Alg. and Its Applications, 39: 167-188 (1981).