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1993

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Articles 1 - 6 of 6

Full-Text Articles in Numerical Analysis and Computation

Time-Discretization Of Hamiltonian Dynamical Systems, Yosi Shibberu Jun 1993

Time-Discretization Of Hamiltonian Dynamical Systems, Yosi Shibberu

Mathematical Sciences Technical Reports (MSTR)

Difference equations for Hamiltonian systems are derived from a discrete variational principle. The difference equations completely determine piecewise-linear, continuous trajectories which exactly conserve the Hamiltonian function at the midpoints of each linear segment. A generating function exists for transformations between the vertices of the trajectories. Existence and uniqueness results are present as well as simulation results for a simple pendulum and an inverse square law system.

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Electrostatic Positioning Of Droplets In Turbulent Flows (Lstm 375/Te/93), Nihad E. Daidzic, Adrian Melling Apr 1993

Electrostatic Positioning Of Droplets In Turbulent Flows (Lstm 375/Te/93), Nihad E. Daidzic, Adrian Melling

Aviation Department Publications

Report LSTM 375/TE/93, Lehrstuhl fuer Stroemungsmechanik Universitaet Erlangen-Nuernberg Cauerstr. 4, 8520 Erlangen Germany.

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Optimal Control And Differential Games With Measures, E. N. Barron, R. Jensen, J. L. Menaldi Jan 1993

Optimal Control And Differential Games With Measures, E. N. Barron, R. Jensen, J. L. Menaldi

Mathematics Faculty Research Publications

We consider control problems with trajectories which involve ordinary measureable control functions and controls which are measures. The payoff involves a running cost in time and a running cost against the control measures. In the optimal control problem we are trying to minimize this payoff with both controls. In the differential game problem we are trying to minimize the cost with the ordinary controls assuming that the measure controls are chosen to maximize the cost. We will characterize the value functions in both cases using viscosity solution theory by deriving the Bellman and Isaacs equations.

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Construction Of Process Control Charts Using Asymmetric Data, Bruce Sivwright Jan 1993

Construction Of Process Control Charts Using Asymmetric Data, Bruce Sivwright

Theses : Honours

As part of my undergraduate degree I studied various areas in quality control. Included in these areas of study was the concept of control charts, which are becoming increasingly more important in industry for effective manufacturing processes. The general form for constructing a control chart assumes that the outcomes of the process conform to a normal distribution. Data gathered at an industrial site in Western Australia illustrates that this is not always the case. The distribution of the data collected for a specific manufacturing process was found to be significantly different from the normal distribution, in that it was right …

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A Note On Computing Eigenvalues Of Banded Hermitian Toeplitz Matrices, William F. Trench Dec 1992

A Note On Computing Eigenvalues Of Banded Hermitian Toeplitz Matrices, William F. Trench

William F. Trench

No abstract provided.

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Sliding Mode Control Of The Systems With Uncertain Direction Of Control Vector, Sergey V. Drakunov Dec 1992

Sliding Mode Control Of The Systems With Uncertain Direction Of Control Vector, Sergey V. Drakunov

Sergey V. Drakunov

No abstract provided.

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