First, although the link attainable rate is typically a non-convex and non-separable function of persistent probabilities, we prove the convergence of this cross-layer algorithm to the global optimum of joint congestion control and random access algorithm under the framework of nonlinear programming.
1], although the persistent probabilities of two flows converge, we cannot find any step size for the convergence of the rates.
To ensure persistent excitation of the system to achieve convergence of estimated parameters, both axes of the device are actively controlled by an appropriately designed adaptive controller.
The estimator is simple but possesses desirable statistical properties including consistency, asymptotic normality and the parametric rate of convergence in the presence of persistent, diurnally heteroskedastic and endogenous microstructure effects.
Taken together, we propose that this pervasive and persistent environmental chemical alters hormone networks via convergence of NR5A activity and cAMP signaling, to potentially disrupt normal endocrine development and function in lower and higher vertebrates.
An adaptive observer whose gain is derived from the resolution of a Lyapunov differential equation is proposed and its exponential convergence is established under an appropriate persistent excitation property up to the classical high gain state observer design assumptions.
I interviewed Bharati Mukherjee onstage, 12 years ago, and felt that reading all her books at once allowed me to see patterns and convergences, the same characters returning like persistent ghosts, that even she might not have noticed.
Observer exponential convergence is established under an ad-hoc persistent excitation condition involving the regressor.
The gain of the proposed observer is given by an ODE and the convergence is ensured providing a well defined persistent excitation condition.
Its global exponential convergence is ensured by an easy-to-check persistent excitation condition.
