Explicit matrix bounds of the solution for the continuous Riccati equation

ICIC Express Letters

Volumn 3, Issue 2, 2009, Pages 147-152

  Chen, Cheng Yi ^a   Lee, Chien Hua ^a  

^a CHENG SHIU UNIVERSITY   (Taiwan)

Author keywords

Continuous algebraic Riccati equation; Matrix bound

Indexed keywords

CONTINUOUS ALGEBRAIC RICCATI EQUATION; FREE VARIABLE; LOWER MATRIX BOUND; MATRIX BOUND; SIMPLE APPROACH;

ALGEBRA; RICCATI EQUATIONS;

MATRIX ALGEBRA;

EID: 67649541721     PISSN: 1881803X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. S. Aberkane, J. C. Ponsart and D. Sauter, Output feedback H control of a class of stochastic hybrid systems with wiener process via convex analysis, International Jounral of Innovative Computing, Information and Control, vol.2, no.6, pp.1179-1196, 2006.
2. V. S. Kouikoglou and Y. A. Phillis, Trace bounds on the covariances of continuous-time systems with multiplicative noise, IEEE Transactions on Automatic Control, vol.38, no.1, pp.138-142, 1993.
3. M. Basin and J. Peres, Optimal filtering for nonlinear polynomial systems over linear observations with delay, International Jounral of Innovative Computing, Information and Control, vol.2, no.4, pp.863-874, 2006.
4. Y. Takeuchi and A. Hirata, A method of optimization of linear observations for the kalman filter based on a generalized water fillling theorem, International Jounral of Innovative Computing, Information and Control, vol.5, no.1, pp.75-85, 2009.
5. H. H. Choi and T. Y. Kuc, Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations, Automatica, vol.38, no.7, pp.1147-1152, 2002.
6. A. Czornik and A. Nawrat, On upper bounds for the unified algebraic Riccati equation, Systems & Control Letters, vol.32, no.4, pp.235-239, 1997.
7. J. H. Kim and Z. Bien, Some bounds of the solution of the algebraic Riccati equation, IEEE Transactions on Automatic Control, vol.37, no.8, pp.1209-1210, 1992.
8. N. Komaroff, Simultaneous eigenvalue lower bounds for the Riccati matrix equation, IEEE Transactions on Automatic Control, vol.34, no.2, pp.175-177, 1989.
9. N. Komaroff, Bounds on eigenvalues of matrix products with an application to the algebraic Riccati equation, IEEE Transactions on Automatic Control, vol.35, no.3, pp.348-350, 1990.
10. N. Komaroff, Diverse bounds for the eigenvalues of the continuous algebraic Riccati equation, IEEE Transactions on Automatic Control, vol.39, no.3, pp.532-534, 1994.
11. W. H. Kwon, Y. S. Moon and S. C. Ahn, Bounds in algebraic Riccati and Lyapunov equations: A survey and some new results, International Journal of Control, vol.64, no.3, pp.377-389, 1996.
12. C. H. Lee, New results for the bounds of the solution for the continuous Riccati and Lyapunov equations, IEEE Transactions on Automatic Control, vol.42, no.1, pp.118-123, 1997.
13. C. H. Lee, On the upper and lower bounds of the solution for the continuous Riccati matrix equation, International Journal of Control, vo.66, no.1, pp.105-118, 1997.
14. C. H. Lee, Eigenvalue upper bounds of the solution of the continuous Riccati equation, IEEE Trans actions on Automatic Control, vol.42, no.9, pp.1268-1271, 1997.
15. C. H. Lee, New upper solution bounds of the continuous algebraic Riccati matrix equation, IEEE Transactions on Automatic Control, vol.51, no.2, pp.330-334, 2006.