A Popov criterion for networked systems

Systems and Control Letters

Volumn 56, Issue 9-10, 2007, Pages 603-610

  Jönsson, Ulf ^a   Kao, Chung Yao ^b   Fujioka, Hisaya ^c  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b UNIVERSITY OF MELBOURNE   (Australia)

^c KYOTO UNIVERSITY   (Japan)

Author keywords

Integral quadratic constraint; Networked control systems; Popov criteria; Robustness; Stability; Uncertainty

Indexed keywords

INTEGRAL QUADRATIC CONSTRAINTS (IQCS); INTERCONNECTION STRUCTURE; POPOV PLOT;

EIGENVALUES AND EIGENFUNCTIONS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; TIME VARYING SYSTEMS;

NETWORKS (CIRCUITS);

EID: 34447572938     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2007.04.003     Document Type: Article

References (17)

1. R. Cogill, S. Lall, P.A. Parrilo, On structured semidefinite programs for the control of symmetric systems, in: Proceedings of the Allerton Conference on Communication, Control, and Computing, 2003, pp. 1536-1545.
2. Desoer C.A., and Vidyasagar M. Feedback Systems: Input-Output Properties (1975), Academic Press, New York
3. Fan M.K.H., Tits A.L., and Doyle J.C. Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics. IEEE Trans. Automat. Control 36 1 (1991) 25-38
4. Fan X., Arcat M., and Wen J.T. Robustness of network flow control against disturbances and time-delay. Systems Control Lett. 53 (2004) 13-29
5. Fax J.A., and Murray R.M. Information flow and cooperative control of vehicle formations. IEEE Trans. Automat. Control 49 9 (2004) 1465-1476
6. Gattami A., and Murray R. A frequency domain condition for stability of interconnected MIMO systems. Proceedings of the 2004 American Control Conference. Boston, MA, USA (2004) 3723-3727
7. Kreyszig E. Introductory Functional Analysis with Applications (1978), Wiley, New York
8. Lestas I., and Vinnicombe G. Scalable robustness for consensus protocols with heterogenous dynamics. Proceedings of the 16th IFAC World Congress. Prague, Czech Republic (2004)
9. Lestas I., and Vinnicombe G. On the scalable stability of nonsymmetric heterogeneous networks. IEEE Conference on Decision and Control. Seville, Spain (2005)
10. Low S.H., Paganini F., and Doyle J.C. Internet congestion control. Control Systems Mag. 22 1 (2002) 28-43
11. Megretski A., and Rantzer A. System analysis via integral quadratic constraints. IEEE Trans. Automat. Control 42 6 (1997) 819-830
12. Moylan P., and Hill D. Stability criteria for large-scale systems. IEEE Trans. Automat. Control 23 2 (1978) 143-149
13. Pogromsky A., and Nijmeijer H. Cooperative oscillatory behavior of mutually coupled dynamical systems. IEEE Trans. Circuits and Systems-I: Fundamental Theory Appl. 48 2 (2001) 152-162
14. R. Olfati Saber, R.M. Murray, Consensus problems in networks of agents with switching topology and time-delays, IEEE Trans. Automat. Control (2004).
15. Wu C.W., and Chua L.O. Synchronization in an array of linearly coupled dynamical systems. IEEE Trans. Circuits and Systems-I: Fundamental Theory Appl. 42 8 (1995) 430-447
16. Young P.M., Newlin M.P., and Doyle J.C. Practical computation of the mixed μ problem. Proceedings of the American Control Conference. Chicago, Illinois (1992)
17. Zhou K., Doyle J.C., and Glover K. Robust and Optimal Control (1996), Prentice-Hall, Upper Saddle River, NJ