An observability criterion for dynamical systems governed by Riccati differential equations

IEEE Transactions on Automatic Control

Volumn 41, Issue 3, 1996, Pages 434-436

  Rosenthal, Joachim ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; RICCATI EQUATIONS; SET THEORY; THEOREM PROVING; VECTORS;

AFFINE TRANSFORMATION; MOBIUS TRANSFORMATION;

OBSERVABILITY;

EID: 0030104954     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.486645     Document Type: Article

References (7)

1. S. Bittanti, A. J. Laub, and J. C. Willems, The Riccati Equation, Communications and Control Engineering Series. Berlin: Springer Verlag, 1991.
2. B. K. Ghosh and J. Rosenthal, "A generalized Popov-Belevitch-Hautus test of observability," IEEE Trans. Automat. Contr., vol. 40, no. 1, pp. 176-180, 1995.
3. M. L. J. Hautus, "Controllability and observability condition for linear autonomous systems," in Ned. Akad. Wetenschappen, Proc. Ser. A, 1969, vol. 72, pp. 443-448.
4. C. F. Martin, "Grassmannian manifolds, Riccati equations and feedback invariants of linear systems, in Geometrical Methods for the Theory of Linear Systems, C. I. Byrnes and C. F. Martin, Eds. Dordrecht, Holland: Reidel, 1980, pp. 195-211.
5. C. R. Schneider, "Global aspects of the matrix Riccati equation," Math. Syst. Theory, vol. 7, no. 3, pp. 281-286, 1973.
6. M. A. Shayman, "Phase portrait of the matrix Riccati equation," SIAM J. Contr. Optim., vol. 24, no. 1, pp. 1-65, 1986.
7. W. P. Dayawansa, B. K. Ghosh, C. Martin, and X. Wang, "A necessary and sufficient condition for the perspective observability problem," Syst. Contr. Lett., vol. 25, no. 3, pp. 159-166, 1995.