Controllability of switched time-delay systems under constrained switching

Journal of Mathematical Analysis and Applications

Volumn 286, Issue 2, 2003, Pages 397-421

  Wang, Yijing ^a   Xie, Guangming ^a   Wang, Long ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

Constrained switching; Controllability; Switched systems; Time delay

Indexed keywords

EID: 0242508524     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00420-7     Document Type: Article

References (31)

1. A.S. Liberzon, A.S. Morse, Basic problems in stability and design of switched systems, IEEE Control Systems 19 (1999) 59-70.
2. A.V. Savkin, E. Skafidas, R.J. Evans, Robust output feedback stabilizability via controller switching, Automatica 35 (1999) 69-74.
3. R.A. DeCarlo, M.S. Branicky, S. Pettersson, Perspectives and results on the stability and stabilizability of hybrid systems, Proc. IEEE 88 (2000) 1069-1082.
4. A. Leonessa, W.M. Haddad, V. Chellaboina, Nonlinear system stabilization via hierarchical switching control, IEEE Trans. Automat. Control 46 (2001) 17-28.
5. J.P. Hespanha, A.S. Morse, Switching between stabilizing controllers, Automatica 38 (2002) 1905-1917.
6. M.S. Branicky, V.S. Borkar, S.K. Mitter, A unified framework for hybrid control: model and optimal control theory, IEEE Trans. Automat. Control 43 (1998) 31-45.
7. X. Xu, P.J. Antsaklis, Optimal control of switched systems: new results and open problems, in: Proceedings of the American Control Conference, June, 2000, pp. 2683-2687.
8. A.S. Morse, Supervisory control of families of linear set-point controllers, Part 1: Exact matching, IEEE Trans. Automat. Control 41 (1996) 1413-1431.
9. A.S. Morse, Supervisory control of families of linear set-point controllers - Part 1: Robustness, IEEE Trans. Automat. Control 42 (1997) 1500-1515.
10. K.S. Narendra, C. Xiang, Adaptive control of discrete-time systems using multiple models, IEEE Trans. Automat. Control 45 (2000) 1669-1686.
11. H. Ishii, B.A. Francis, Stabilization with control networks, Automatica 38 (2002) 1745-1751.
12. T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, 1980.
13. W.M. Wonham, Linear Multivariable Control: A Geometric Approach, 3rd ed., Springer-Verlag, New York, 1985.
14. P.J. Antsaklis, A.N. Michel, Linear Systems, McGraw-Hill, 1997.
15. J. Ezzine, A.H. Haddad, Controllability and observability of hybrid systems, Internat. J. Control 49 (1989) 2045-2055.
16. G. Xie, D.Z. Zheng, Research on controllability and reachability of hybrid systems, in: Proceedings of the 19th Chinese Control Conference, December, 2000, pp. 114-117.
17. Z.D. Sun, D.Z. Zheng, On reachability and stabilization of switched linear systems, IEEE Trans. Automat. Control 46 (2001) 291-295.
18. G. Xie, D.Z. Zheng, L. Wang, Controllability of switched linear systems, IEEE Trans. Automat. Control 47 (2002) 1401-1405.
19. Z.D. Sun, S.S. Ge, T.H. Lee, Controllability and reachability criteria for switched linear systems, Automatica 38 (2002) 775-786.
20. S.S. Ge, Z.D. Sun, T.H. Lee, Reachability and controllability of switched linear discrete-time systems, IEEE Trans. Automat. Control 46 (2001) 1437-1441.
21. G. Xie, L. Wang, Necessary and sufficient conditions for controllability of switched linear systems, in: Proceedings of the American Control Conference, June, 2002, pp. 1897-1902.
22. G. Xie, L. Wang, Controllability and stabilizability of switched linear-systems, Systems Control Lett. 48 (2003) 135-155.
23. G. Xie, L. Wang, Reachability realization and stabilizability of switched linear discrete-time systems, J. Math. Anal. Appl. 280 (2003) 209-220.
24. X. Xu, P.J. Antsaklis, On the reachability of a class of second-order switched systems, in: Proceedings of the American Control Conference, June, 1999, pp. 2955-2959.
25. Z. Yang, An algebraic approach towards the controllability of controlled switching linear hybrid systems, Automatica 38 (2002) 1221-1228.
26. J. Ackermann, Robust Control: Systems with Uncertain Physical Parameters, Springer-Verlag, Berlin, 1994.
27. D.H. Chyung, On the controllability of linear systems with delay in control, IEEE Trans. Automat. Control 15 (1970) 255-257.
28. G.A. Hewer, Note on controllability of linear systems with time delay, IEEE Trans. Automat. Control 17 (1972) 733-734.
29. D. Salamon, On controllability and observability of time delay systems, IEEE Trans. Automat. Control 29 (1984) 432-439.
30. G. Xie, L. Wang, Y. Wang, Controllability of periodically switched linear systems with delay in control, in: Proc. of the 15th International Symposium on the Mathematical Theory of Networks and Systems, University of Notre Dame, August, 2002.
31. L. Hwang, Linear Algebra in System and Control Theory, Science Press, Beijing, 1984.