**Resource Allocation and
Control**

**More References**

**High Throughput TCP (Vinnicombe)**

**Comparison to TCP-Reno**

**Linear System**

**Stability**

**Nyquist Test**

**Nyquist Plot (a=0.5)**

**Sufficient Condition for
Stability**

**Source and Router
Conditions**

**Decomposition for a
Particular Price Function**

**Network Analysis**

**Extension to Networks**

**Global Stability**

**Razumikhin’s theorem**

**What does it mean?**

**Razumikhin’s theorem**

**Network Model**

**Congestion Control**

**Lyapunov-Razumikhin
Function**

**Razumikhin condition**

**Bounds on rates, prices**

**Derivative of Lyapunov
Function**

**Stability Condition**

**Result**

**Stable even with slow-start**

**Arrivals and Departures**

** Connection-Level Model**

**Necessary Condition for
Stability**

**Priority**

**What if we use TCP for
resource allocation?**

**A Class of Utility
Functions**

**Connection-Level Fluid
Model**

**Proof of Stability**

**Extensions**

**Some Open Problems**