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"Humanities and Science University Journal" №15 (Physical and mathematical, biological and technical science), 2015

Methods of Matrix Formalism for Finding Fluctuations of Parameters in Control Systems of Accelerator Systems

D. V. Abdushukurov
Price: 50 руб.
 The paper dwells on a number of methods for assessing the impact of errors on the alignment of the control parameters in accelerator systems. The approach is based on calculating a functional of dependency of these parameters on their errors. The first method is based on a statistical draw of all probable options for deviation of each parameter of items. The second one, in turn, is based on the statistical analysis of all probable options, as well as on the algebraic analysis of the impact of errors in setting the parameters of sensitivity matrix. Mathematical methods of differential calculus
and algebraic methods by Lee are applied. This approach can be directly implemented in the concept of a virtual accelerator.
Keywords: accelerator systems, matrix formalism, control systems, sensitivity matrix,
virtual accelerator, computer modeling.
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