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In this paper, we consider the problem of determining optimal configurations of Roll-to-Roll (R2R) process machines which consist of many interconnected dynamic elements to transport flexible materials (webs) on rollers. The problem is to optimally locate the controlled dynamic elements within the R2R machine so as to minimize the effect of disturbances propagated by the transported web. Typical disturbances...
We discuss a simplified version of an open problem in system realization theory which has several important practical applications in complex networks. Particularly, we focus on algebraic connectivity (λ2) of the Laplacian of the network as an objective for maximization. We show that the maximum value of forced response of a linear mechanical (spring-mass) system can be minimized when the λ2 of the...
This article addresses the problem of synthesizing communication networks with maximum algebraic connectivity in the presence of constraints which limit the total number of communication links present in the network. This problem arises in Unmanned Aerial Vehicle (UAV) monitoring applications where some UAVs have to be deployed to relay and transmit time sensitive information between all the vehicles...
In this paper, we consider anisotropic diffusion with decay, which takes the form α(x)c(x)−div[𝔻(x)grad[c(x)]]=f(x) with decay coefficient α(x)⩾0, and diffusivity coefficient 𝔻(x) to be a second‐order symmetric and positive‐definite tensor. It is well known that this particular equation is a second‐order elliptic equation, and satisfies a maximum principle under certain regularity assumptions. However,...
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