OF THESIS Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Science Electrical Engineering The University of New Mexico Albuquerque, New Mexico

This article is concerned with the local stabilization problem for discrete-time systems both distributed state delay and fast-varying input under actuator saturations. By introducing some terms concerning distributedly delayed current state, a novel polytopic model first proposed to characterize saturation nonlinearity. Then, by incorporating piecewise Lyapunov functional summation inequalitie...

We present an LMI condition for robust stability of uncertain distributed delay systems (DDS). It is based on recent results for DDS with rational delay kernels. After the incorporation of uncertain kernels, the new approach is now applicable to any time-varying, uncertain, piecewise continuous delay kernel. The stability analysis is formulated as an LMI and at the same time uses explicitly the...

This paper considers the problem of designing the rightmost eigenvalues of linear scalar distributed delay systems using two different but complementary methods: generalized stability charts and matrix Lambert W functions. The generalized stability charts are based on generalized Hopf and fold curves that provide important insight into the problem, but the geometry of the curves may become comp...

We study distributed stochastic convex optimization under the delayed gradient model where theserver nodes perform parameter updates, while the worker nodes compute stochastic gradients. Wediscuss, analyze, and experiment with a setup motivated by the behavior of real-world distributedcomputation networks, where the machines are differently slow at different time. Therefore, we ...

We develop distributed stochastic convex op-timization algorithms under a delayed gradi-ent model in which server nodes update pa-rameters and worker nodes compute stochas-tic (sub)gradients. Our setup is motivated bythe behavior of real-world distributed com-putation systems; in particular, we analyzea setting wherein worker nodes can be dif-ferently slow at dif...

In a distributed cooperative communication system, as the distances between different relay nodes and the receiving nodes may be different, so the performances of distributed space time codes at receiving nodes may badly be degraded if timing synchronization is not assured. In this article, extending the work of Damen et al. we introduce the design of distributed threaded algebraic space-time (...

Providing Quality of Service(QoS) in distributed networks, such as multimedia ad hoc wireless network, also requires well defined scheduling schemes. However, due to the distributed nature of ad hoc networks, nodes may not be able to determine the next packet to transmit as in the centralized networks. Thus, it is a non-trivial issue to provide bounded delay guarantee, with fair share of resour...

In this paper, we propose a two species competition model in a chemostat that uses a distributed delay to model the lag in the process of nutrient conversion and study the global asymptotic behavior of the model. The model includes a washout factor over the time delay involved in the nutrient conversion, and hence the delay is distributed over the species concentrations as well as over the nutr...

in this paper, distributed parameter process systems behavior is studied in frequency domain. based on the dominant gain concept that is developed for such studies, a method is presented to control distributed parameter process systems. by using dominant gain concept, the location of open loop zeros, resulted from the time delay parameter in the process model, were changed from the right half p...