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We are motivated by the problems faced by independent system operators in an era where renewables constitute a significant portion of generation and demand response is employed by a significant portion of loads. We address a key issue of designing architectures and algorithms which generate optimal demand response over a time window in a decentralized manner, for a smarter grid consisting of several...
We consider a smart-grid connecting several agents, modeled as stochastic dynamical systems, who may be electricity consumers/producers. At each discrete time instant, which may represent a 15 minute interval, each agent may consume/generate some quantity of electrical energy. The Independent System Operator (ISO) is given the task of assigning consumptions/generations to the agents so as to maximize...
Traditional architecture design approaches hide hardware uncertainties from the software stack through over-design, which is often expensive in terms of power consumption. The recently proposed quantitative alternative of stochastic computing requires circuits and processors to be correct only probabilistically and use less power. In this paper, we present the first step towards a theory of stochastic...
Future microprocessors increasingly rely on an unreliable CMOS fabric due to aggressive scaling of voltage and frequency, and shrinking design margins. Fortunately, many emerging applications can tolerate computational errors caused by hardware unreliabilities, at least during certain execution intervals. In this paper, we propose scalable stochastic processors, a computing platform for error-tolerant...
Graphs resulting from human behavior (the web graph, friendship graphs, etc.) have hitherto been viewed as a monolithic class of graphs with similar characteristics; for instance, their degree distributions are markedly heavy-tailed. In this paper we take our understanding of behavioral graphs a step further by showing that an intriguing empirical property of web graphs-their compressibility-cannot...
This study deals with the stochastic free vibration response of a laminated composite plate resting on a elastic foundation subjected to a temperature loading with uncertain material properties. The material properties are modeled as independent basic random variables. The temperature field considered is assumed to be a uniform distribution over the plate surface and through the plate thickness. The...
We develop a simple stochastic fluid model that seeks to expose the fundamental characteristics and limitations of P2P streaming systems. This model accounts for many of the essential features of a P2P streaming system, including the peers' realtime demand for content, peer churn (peers joining and leaving), peers with heterogeneous upload capacity, limited infrastructure capacity, and peer buffering...
We consider adaptive control of linear stochastic systems, i.e., the control of unknown linear systems subject to stochastic disturbances whose spectra are also Unknown. We examine the basic convergence issues, including the convergence of adaptive controllers and parameter estimates as well as the convergence of input and output. Despite over a decade of effort, previous works in this area are very...
The stability and optimality of an adaptive minimum variance controller for stochastic systems was first established by Goodwin, Ramadge and Caines [1] for unit delay systems. Subsequently this was generalized by Goodwin, Sin and Saluja [2] to the general delay case, by using a direct approach and an interlaced multiple recursion. However, the interlaced algorithm is both practically cumbersome and...
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