P. Ranjan and E. Abed, "Nonlinear Analysis and Control of TCP-RED in a Simple Network Model," Accepted for presentation at American Control Conference (ACC), Alaska, 2002.  Home/Search   Document Not in Database   Summary   Related Articles

....be bounded from above by f(b 2 ) and from below by f(b 1 , It is also clear that f(b 2 , f(b 1 , since control mechanism kicks in once the queue length at the router grows beyond b 2 decreasing the average queue length. In fact f(q e,k ) decreases monotonically in the interval b 2 to b 1 [18], but the slope decreases in the magnitude. Hence, an approximate stability condition for fixed point in terms of parameters can be derived by taking the upper bound of f(q # e ) which is f(b 2 , wheref(q e,k , has its eigenvalue negative and largest in magnitude. Thus, this stability ....

....bifurcation [12] Border collision bifurcation is a well understood phenomenon in piecewise smooth systems and has been shown responsible for chaos in different electrical circuits and economic system models. A technical proof for the border collision type bifurcation phenomena is reported in [18]. 0.1, Both exponentially averaged queue length q e,k and instantaneous queue length q k derived from q e,k according to eq. 9 have been plotted here to present the implication of border collision. It can be seen that when bifurcation diagram of q e,k collides with the border b 1 , q k ....

P. Ranjan and E. Abed, "Nonlinear Analysis and Control of TCP-RED in a Simple Network Model," Accepted for presentation at American Control Conference (ACC), Alaska, 2002.

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