Stability and robustness conditions using frequency dependent half planes

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2009, Pages 6166-6171

  Jacobsson, Krister ^a   Andrew, Lachlan L H ^b   Tang, Ao ^c  

^a California Institute of Technology   (United States)

^b SWINBURNE UNIVERSITY OF TECHNOLOGY   (Australia)

^c Cornell University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL SYSTEMS; LINEAR SYSTEMS;

CLOSED LOOP STABILITY; COMPLEX PLANES; FREQUENCY DEPENDENT; LINEAR-TIME INVARIANT DYNAMICAL SYSTEMS; MULTI-DIMENSIONAL CASE; STABILITY AND ROBUSTNESS; STABLE SYSTEMS; STRICTLY POSITIVE REAL;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 77950843237     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5399668     Document Type: Conference Paper

References (23)

1. A. Tang, L. L. H. Andrew, K. Jacobsson, K. H. Johansson, H. Hjalmarsson and S. H. Low. Queue Dynamics with Window Flow Control. Submitted.
2. L. S. Brakmo and L. L. Peterson. TCP Vegas: End-to-end congestion avoidance on a global Internet. IEEE J. Select. Areas Commun., 13(8):1465-1480, 1995.
3. A. Gattami and R. Murray. A Frequency Domain Condition for Stability of Interconnected MIMO Systems. In Proc. ACC, 2004.
4. R. A. Horn and C. R. Johnson. Topics in Matrix Analysis. Cambridge University Press, 1991.
5. K. Jacobsson, L. L. H. Andrew, A. Tang, K. H. Johansson, H. Hjalmarsson and S. H. Low. ACK-clocking dynamics: Modeling the interaction between windows and the network. In Proc. IEEE INFOCOM Miniconference, 2008.
6. U. Jönsson, C. Y. Kao, and H. Fujioka. A Popov Criterion for Networked Systems. Systems & Control Letters, 56(9-10):603-610, September-October 2007.
7. H. K. Khalil. Nonlinear Systems. 3rd ed. Prentice Hall, 2002.
8. C. Langbort, R. S. Chandra and R. D'Andrea. Distributed Control Design for Systems Interconnected Over an Arbitrary Graph. IEEE Trans. Automatic Control, 49(9):1502-1519, September 2004.
9. I. C. Lestas and G. Vinnicombe. Scalable Decentralized Robust Stability Certificates for Networks of Interconnected Heterogeneous Dynamical Systems. IEEE Trans. Automatic Control, 51(10):1613-1625, October 2006.
10. I. C. Lestas and G. Vinnicombe. Scalable robust stability for nonsymmetric heterogeneous networks. Automatica, 43:714-723, 2007.
11. R. Olfati-Saber, J. A. Fax and R. M. Murray. Consensus and Cooperation in Networked Multi-Agent Systems. Proceedings of the IEEE, 95(1):215-233, January 2007.
12. F. Paganini, Z. Wang, J. C. Doyle and S. H. Low. Congestion control for high performance, stability and fairness in general networks IEEE/ACM Trans. Networking, 13(1):43-56, 2005.
13. M. Rotkowitz and S. Lall. Affine Controller Parameterization for Decentralized Control over Banach Spaces. IEEE Trans. Automatic Control, 51(9):1497-1500, September 2006.
14. S. Skogestad and I. Postlethwaite. Multivariable Feedback Control, 2nd edition. Wiley, 2005.
15. M. Suchara, L. L. H. Andrew, R. Witt, K. Jacobsson, B. P. Wydrowski and S. H. Low. Implementation of Provably Stable MaxNet. In Proc. Broadnets, September 2008.
16. A. Tang, K. Jacobsson, L. L. H. Andrew and S. H. Low. An Accurate Link Model and Its Application to Stability Analysis of FAST TCP. In Proc. IEEE INFOCOM, 2007.
17. A. Tang, L. L. H. Andrew, K. Jacobsson, K. H. Johansson, S. H. Low and H. Hjalmarsson. Window Flow Control: Macroscopic Properties from Microscopic Factors. In Proc. IEEE INFOCOM, 2008.
18. G. Vinnicombe. On the stability of networks operating TCP-like congestion control. In Proc. IFAC, 2002.
19. D. Wei, C. Jin, S. H. Low, and S. Hegde. FAST TCP: motivation, architecture, algorithms, performance. IEEE/ACM Trans. Networking, 14(6):1246-1259, December 2006.
20. J. C. Willems. Dissipative Dynamical Systems Part I: General Theory. Archive for Rational Mechanics and Analysis, 45(9):321-393, 1972.
21. J. T. Wen, and M. Arcak. A Unifying Passivity Framework for Network Flow Control. IEEE Trans. Automatic Control, 49(2):162-174, February 2004.
22. W. Z. Zhang, J. Bao, and P. L. Lee. Decentralized Unconditional Stability Conditions Based on the Passivity Theorem for Multi-loop Control Systems. Industrial & Engineering Chemistry Research, 41(6):1569-1578, February 2002.
23. TCP Congestion Control. RFC 2581. April 1999.