The objective of this paper is to introduce the essential ingredients of linear systems and control theory to the fluid mechanics community, to discuss the relevance of this theory to important open problems in the optimization, control, and forecasting of practical flow systems of engineering interest, and to outline some of the key ideas that have been put forward to make this connection trac...

We calculate the length distribution of linear micelles modeled as living bead-spring chains from a simple mesoscopic model. Within the framework of statistical mechanics an expression for the free energy is used. For the case of Rouse chains the length distribution and rheological properties we evaluate as functions of the micellar concentration, the scission energy, and the strength of an app...

Linear optimal power flow (LOPF) algorithms use a linearization of the alternating current (AC) load flow equations to optimize generator dispatch in a network subject to the loading constraints of the network branches. Common algorithms use the voltage angles at the buses as optimization variables, but alternatives can be computationally advantageous. In this article we provide a review of exi...

In the area of parameterized complexity, to cope with NP-Hard problems, we introduce a parameter k besides the input size n, and we aim to design algorithms (called FPT algorithms) that run in O(f(k)n) time for some function f(k) and constant d. Though FPT algorithms have been successfully designed for many problems, typically they are not sufficiently fast because of huge f(k) and d. In this p...

Detecting information flows inside a program is useful to check non-interference of program variables, an important aspect of software security. Information flows have been computed in the past by using abstract interpretation over an abstract domain IF which expresses sets of flows. In this paper we reconstruct IF as the linear refinement C → C of a basic domain C expressing constancy of progr...

The spatial stability analysis of two dimensional, steady channel flow is investigated in the downstream entry zone. A model based on previous work, is presented for the base flow, which represents a small deformation of plane Poiseuille flow. The base flow evolution towards the fully developed state comes from the experimental and theoretical study of M. Asai and J.M. Floryan ”Certain aspects ...

The purpose of the article is to establish the relationship between rigid body motion and the optic flow image and solve motion parameters from optic flow image points. A basic equation relating optic flow image points to rigid body motion which involves only the instantaneous rotation and translation velocities without depths is established. A linear algorithm is developed to determine the mod...

Electric power systems usually involve sinusoidally varying (or nearly so) voltages and currents. That is, voltage and current are functions of time that are nearly pure sine waves at fixed frequency. In North America, most ships at sea and eastern Japan that frequency is 60 Hz. In most of the rest of the world it is 50 Hz. Normal power system operation is at this fixed frequency, which is why ...

The tangential neurons in the fly brain are sensitive to the typical optic flow patterns generated during self-motion. In this study, we examine whether a simplified linear model of these neurons can be used to estimate self-motion from the optic flow. We present a theory for the construction of an estimator consisting of a linear combination of optic flow vectors that incorporates prior knowle...

In this paper several dynamic multi-level location problems are formulated as mixed-integer linear programs. Both uncapacitated and capacitated versions of the problem are studied. The models presented are more complete than the ones known from the literature: they are dynamic and consider the possibility of a facility being open, closed and reopen more than once during the planning horizon. Th...