Clockwise property of the Nyquist plot with implications for absolute stability
Automatica (Journal of IFAC)
Optimization flow control—I: basic algorithm and convergence
IEEE/ACM Transactions on Networking (TON)
End-to-end congestion control for the internet: delays and stability
IEEE/ACM Transactions on Networking (TON)
Stability of the Internet congestion control with diverse delays
Automatica (Journal of IFAC)
IEEE Network: The Magazine of Global Internetworking
Stability analysis of a novel exponential-RED model with heterogeneous delays
Computer Communications
Design of a stabilizing AQM controller for large-delay networks based on internal model control
Computer Communications
Journal of Network and Computer Applications
International Journal of Automation and Computing
A general stability criterion for congestion control with diverse communication delays
Automatica (Journal of IFAC)
| Hi-index | 0.01 |
This paper addresses the problem of the stability of congestion control for networks with heterogeneous round-trip communication delays. We present a frequency-domain approach to this problem. The approach is based on the analysis of the clockwise property of system transfer functions, generalized Nyquist stability criterion, and a recent lemma of Vinnicombe. We point out that a prerequisite for establishing decentralized stability criteria for distributed congestion control is that the Nyquist plots of time-delayed transfer functions corresponding to price (rate) dynamics at links (sources) satisfy clockwise property in certain frequency intervals. Based on the detailed investigation of global geometric properties of the frequency response of price dynamics at links, we derive sufficient conditions for the local asymptotic stability of a kind of the second-order active queue management algorithm--REM algorithm. A simple design procedure is also proposed for guaranteeing the asymptotic stability of the control algorithm.