On stability tests for linear systems

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 15, Issue 1, 2002, Pages 125-130

  De Oliveira, Maurício C ^a   Skelton, Robert E ^b  

^a UNIVERSITY OF CAMPINAS   (Brazil)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Linear systems; Stability analysis; Stability tests

Indexed keywords

EID: 84945562675     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (20)

1. Barmish, B. R. (1985). Necessary and sufficient conditions for quadratic stabilizability of an uncertain system. JOTA 46, 399-408.
2. Boyd, S. P., L. El Ghaoui, E. Feron and V. Balakrishnan (1994). Linear Matrix Inequalities in System and Control Theory. SIAM. Philadelphia, PA.
3. Cobb, D. (1984). Controllability, observability, and duality in descriptor systems. IEEE Trans. on Automatic Control 29, 1076-1082.
4. de Oliveira, M. C. and R. E. Skelton (2001). Stability tests for constrained linear systems. In: Perspectives in Robust Control (S. O. Reza Moheimani, Ed.). pp. 241-257. Springer-Verlag.
5. de Oliveira, M. C., J. Bernussou and J. C. Geromel (1999a). A new discrete-time robust stability condition. Sys. & Cont. Letters. 37(4), 261-265.
6. de Oliveira, M. C., J. C. Geromel and J. Bernussou (1999b). An LMI optimization approach to multi-objective controller design for discrete-time systems. In: Proc. of the 38th IEEE Conf. on Dec. and Cont. Phoenix, AZ. pp. 3611-3616.
7. ∞ norm characterizations and controller parametrizations for discrete-time systems. Submitted to Int. J. of Control.
8. de Oliveira, M. C., J. C. Geromel and L. Hsu (1999c). LMI characterization of structural and robust stability: the discrete-time case. Lin. Alg. and Its Appl. 296(1-3), 27-38.
9. Feron, E., P. Apkarian and P. Gahinet (1996). Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions. IEEE Trans. on Automatic Cont. 41(7), 1041-1046.
10. Finsler, P. (1937). Über das Vorkommen definiter und semidefiniter Formen in Scharen quadratischer Formem. Comment. Math. Helvetici 9, 188-192.
11. Geromel, J. C., M. C. de Oliveira and J. Bernussou (1999). Robust filtering of discrete-time linear systems with parameter dependent Lyapunov functions. In: Proc. of the 38th IEEE Conf. on Dec. and Cont. Phoenix, AZ. pp. 570-575.
12. Geromel, J. C., M. C. de Oliveira and L. Hsu (1998). LMI characterization of structural and robust stability. Lin. Alg. and Its Appl. 285(1-3), 69-80.
13. Grigoriadis, K. M., G. Zhu and R. E. Skelton (1996). Optimal redesign of linear systems. J. Dyn. Sys. Meas. and Cont.: Trans. ASME 118(3), 598-605.
14. Hamburger, C. (1999). Two extensions to Finsler's recurring theorem. Applied Mathematics & Optimization 40, 183-190.
15. Scherer, C. W. (2000). Robust mixed control and linear parameter-varying control with full block scalings. In: Adv. in Lin. Mat. Ineq. Meth. in Contr. (L. El Gahoui and S.-L. Niculesco, Eds.). pp. 187-207. SIAM. Philadelphia, PA.
16. Siljak, D. D. (1990). Decentralized Control of Complex Systems. Academic Press. London, UK.
17. Skelton, R. E. (1988). Dynamics Systems Control: linear systems analysis and synthesis. John Wiley & Sons, Inc. New York, NY.
18. Skelton, R. E., T. Iwasaki and K. Grigoriadis (1997). A Unified Algebraic Approach to Control Design. Taylor & Francis. London, UK.
19. Syrmos, V. L., C. T. Abdallah, P. Dorato and K. Grigoriadis (1997). Static output feedback - a survey. Automatica.
20. Uhlig, F. (1979). A recurring theorem about pairs of quadratic forms and extensions: a survey. Lin. Alg. and Its Appl. 25, 219-237.