Systems Theory; Control
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|Dave Rusin; The Mathematical Atlas|
|A short article designed to provide an introduction to systems theory; control: the mathematical study of complex dynamic structures in engineering. One can attempt a mathematical or statistical test for system identification, that is, to deduce the laws of evolution which govern the system. One can attempt system control, that is, to determine appropriate inputs (e.g. initial conditions for the differential equation) so that the system demonstrates desired outputs; this (and kinematics -- section 70) is used in the field of "robotics." One can study system stability, that is, the tendency to achieve a steady-state configuration. Since systems of interest in applications are subject to noise and imprecision, this area includes the study of stochastic systems as well; control is usually achieved using filters (e.g. the Kalman filter) to make best estimates of a system's condition. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus.|
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