Robustness of interconnected systems with controller saturation and bounded delays

Stability of a data network topology, in which a source updates its data transmission rate based on delayed congestion information on its own path only, is examined. Delays associated with feedback information are taken to be known constants and bounded uncertainty is associated with feedback information. Use of linear matrix inequality and integral quadratic constraint techniques to derive sufficiency conditions for stability of such systems is demonstrated.

[1]  G. Zames.  On the input-output stability of time-varying nonlinear feedback systems--Part II: Conditions involving circles in the frequency plane and sector nonlinearities , 1966 .

[2]  G. Zames.  On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivity , 1966 .

[3]  R.R. Mohler,et al.  Stability and robustness of multivariable feedback systems , 1981, Proceedings of the IEEE.

[4]  S. Bhattacharyya,et al.  Robust control , 1987, IEEE Control Systems Magazine.

[5]  V. Jacobson,et al.  Congestion avoidance and control , 1988, SIGCOMM '88.

[6]  K. K. Ramakrishnan,et al.  A binary feedback scheme for congestion avoidance in computer networks with a connectionless network layer , 1988, SIGCOMM '88.

[7]  D. Estrin,et al.  RSVP: a new resource reservation protocol , 1993, IEEE Communications Magazine.

[8]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[9]  Larry L. Peterson,et al.  TCP Vegas: End to End Congestion Avoidance on a Global Internet , 1995, IEEE J. Sel. Areas Commun..

[10]  Srinivasan Keshav,et al.  An Engineering Approach to Computer Networking: ATM Networks , 1996 .

[11]  T. V. Lakshman,et al.  The performance of TCP/IP for networks with high bandwidth-delay products and random loss , 1997, TNET.

[12]  A. Rantzer,et al.  System analysis via integral quadratic constraints , 1997, IEEE Trans. Autom. Control..

[13]  Erik I. Verriest,et al.  Stability and Control of Time-delay Systems , 1998 .

[14]  Eitan Altman,et al.  Multiuser rate-based flow control , 1998, IEEE Trans. Commun..