A necessary and sufficient condition for stabilization of decentralized time-delay systems with commensurate delays

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2008, Pages 5022-5029

  Momeni, Ahmadreza ^a   Aghdam, Amir G ^a  

^a Gina Cody School of Engineering and Computer Science   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR CONTROL SYSTEMS; STABILIZATION; TIME DELAY; TIMING CIRCUITS;

COMMENSURATE DELAYS; DECENTRALIZED CONTROLLER; DECENTRALIZED FIXED MODES; LINEAR TIME INVARIANT; OUTPUT FEEDBACK; STABILIZABILITY; STABILIZATION PROBLEMS; TIME-DELAY SYSTEMS;

DELAY CONTROL SYSTEMS;

EID: 62949089927     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2008.4739411     Document Type: Conference Paper

References (19)

1. E. J. Davison and T. N. Chang, "Decentralized stabilization and pole assignment for general proper systems," IEEE Transactions on Automatic Control, vol. 35, no. 6, pp. 652-664, 1990.
2. D. D. Šiljak and A. I. Zecevic, "Control of large-scale systems: Beyond decentralized feedback," Annual Reviews in Control, vol. 29, no. 2, pp. 169-179, 2005.
3. J. Lavaei and A. G. Aghdam, "A graph theoretic method to find decentralized fixed modes of LTI systems," Automatica, vol. 43, no. 12, pp. 2129-2133, 2007.
4. J. Lavaei, A. Momeni, and A. G. Aghdam, "A model predictive decentralized control scheme with reduced communication requirement for spacecraft formation," IEEE Transactions on Control Systems Technology, vol. 16, no. 2, pp. 268-278, 2008.
5. E. J. Davison and Ü. Özgüner, "Decentralized control of traffic networks," IEEE Transactions on Automatic Control, vol. 28, no. 6, pp. 677-688, 1983.
6. S. H. Wang and E. J. Davison, "On the stabilization of decentralized control systems," IEEE Transactions on Automatic Control, vol. 18, no. 5, pp. 473-478, 1973.
7. E. K. Boukas and Z. K. Liu, Deterministic and Stochastic Time-Delay Systems. Birkhauser: Basel, 2002.
8. K. Gu, L. Kharitonov, and J. Chen, Stability of Time-Delay Systems. Birkhauser: Boston, 2003.
9. A. Momeni and A. G. Aghdam, "An adaptive tracking problem for a family of retarded time-delay plants," International Journal of Adaptive Control and Signal Processing, vol. 21, no. 10, pp. 885-910, 2007.
10. E. W. Kamen, "Linear systems with commensurate time-delays: stability and stabilization independent of delay," IEEE Transactions on Automatic Control, vol. 27, no. 2, pp. 367-375, 1982.
11. A. Momeni and A. G. Aghdam, "On the Stabilization of Decentralized Time-Delay Systems," Concordia University Technical Report, 2008. (available on-line at www.ece.concordia.ca/~aghdam/TechnicalReports/techrep2008- 1.pdf)
12. E. B. Neftci and A. Olbrot, "Canonical forms for time-delay systems," IEEE Transactions on Automatic Control, vol. 27, no. 1, pp. 128-132, 1982.
13. C. T. Chen, Linear System Theory and Design. Saunders College Publishing: Philadelphia, 1984.
14. A. Olbrot, "Stabilizability, detectability, and spectrum assignment for linear autonomous systems with general time delays," IEEE Transactions on Automatic Control, vol. 23, no. 5, pp. 887-890, 1978.
15. B. D. O. Anderson and D. J. Clements, "Algebraic characterization of fixed modes in decentralized control," Automatica, vol. 17, no. 5, pp. 703-712, 1981.
16. H. Gluesing-Luerssen, Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach. Springer: Berlin, 2002.
17. W. Rudin, Real and Complex Analysis. New York: McGraw-Hill, 1966.
18. J. Fogarty, Invariant Theory. New York: Benjamin, 1969.
19. E. Kamen, P. Khargonekar, and A. Tannenbaum, "Stabilization of time-delay systems using finite-dimensional compensators," IEEE Transactions on Automatic Control, vol. 30, no. 1, pp. 75-78, 1985.