Robust controllability and robust closed-loop stability with static output feedback for a class of uncertain descriptor systems

Linear Algebra and Its Applications

Volumn 297, Issue 1-3, 1999, Pages 133-155

  Lin, Chong ^a   Wang, Jian Liang ^b   Yang, Guang Hong ^b   Soh, C B ^b  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Controllability; Descriptor systems; Impulse behavior; Stability; Structured perturbations

Indexed keywords

EID: 0042096440     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(99)00150-0     Document Type: Article

References (23)

1. A. Ailon, Controllability of generalized linear time-invariant systems, IEEE Trans. Automat. Contr. 32 (1987) 429-432.
2. G.J. Balas, J.C. Doyle, K. Glover, A. Packard, R. Smith, μ-Analysis and Synthesis Toolbox, The MathWorks, 1991.
3. R. Byers, N.K. Nichols, On the stability radius of a generalized state-space system, Linear Algebra Appl. 188 (1993) 13-134.
4. J.C. Cobb, Controllability, observability and duality in singular systems, IEEE Trans. Automat. Contr. 29 (1984) 1076-1082.
5. L. Dai, Singular Control Systems, Springer, Berlin, 1989
6. M. Fu, B.R. Barmish, Maximal unidirectional perturbation bounds for stability of polynomials and matrices, Systems Control Lett. 11 (1988) 173-179.
7. C.-H. Fang, F.-R. Chang, Analysis of stability robustness for generalized state-space systems with structured perturbations, Systems Control Lett. 21 (1993) 109-114.
8. Y.T. Juang, Z.C. Hong and Y.T. Wang, Pole-assignment for uncertain systems with structured perturbations, IEEE Trans. Circuits Systems 37 (1990) 107-110.
9. P. Lancaster, M. Tismenetsky, The Theory of Matrices, 2nd ed., Academic Press, New York, 1985.
10. J.C. Lee, E.A. Misawa, K.N. Reid, Asymmetric robustness measure of eigenvalue distribution for uncertain linear systems with structured perturbations, in: Proceedings of the ACC (1997) 3950-3954.
11. L. Lee, C.-H. Fang, J.-G. Hsieh, Exact unidirectional perturbation bounds for robustness of uncertain generalized state-space systems: continuous-time cases, Automatica 10 (1997) 1923-1927.
12. C. Lin, J.L. Wang, D.H. Wang, C.B. Soh, Robustness of uncertain descriptor systems, Systems Control Lett. 31 (1997) 129-138.
13. C. Lin, J.L. Wang, C.B. Soh, Necessary and sufficient conditions for the controllability of linear interval descriptor systems, Automatica, accepted for publication, 1997.
14. E.C. Mota, A. Bhaya, On D-stable and D-semistable matrices and the structured singular value, in: Proceedings of the 35th CDC, 1996, 1284-1286.
15. L. Qiu, E.J. Davison, The stability robustness of generalized eigenvalues, IEEE Trans. Automat. Contr. 37 (1992) 886-891.
16. L. Qiu, E.J. Davison, A new method for the stability robustness determination of state space models with real perturbations, in: Proceedings of the 27th CDC, 1988, 538-543.
17. K. Takaba, N. Morihira, T. Katayama, A generalized Lyapunov theorem for descriptor system, Systems Control Lett. 24 (1995) 49-51.
18. C.L. Tseng, I.K. Fong, J.H. Su, Analysis and applications of robust nonsingularity problem using the structured singular value, IEEE Trans. Automat. Contr. 39 (1994) 2118-2122.
19. G.C. Verghese, B.C. Levy, T. Kailath, A generalized state-space for singular systems, IEEE Trans. Automat. Contr. 26 (1981) 811-831.
20. K. Wang, A.N. Michel, Necessary and sufficient conditions for the controllability and observability of a class of linear time-invariant systems with interval plants, IEEE Trans. Automat. Contr. 39 (1994) 1443-1447.
21. E.L. Yip, R.F. Sincovec, Solvability, controllability and observability of continuous descriptor systems, IEEE Trans. Automat. Contr. 26 (1981) 702-706.
22. K. Zhou, J.C. Doyle, K. Glover, Robust and Optimal Control, Prentice-Hall, Upper Saddle River, NJ, 1996.
23. Z. Zhou, M.A. Shayman, T.J. Tarn, Singular systems: a new approach in the time domain, IEEE Trans. Automat. Contr. 32 (1987) 42-50.