Machine estimation of limits of applicability of S. A. Chaplygin's theorem
Authors:
Abstract
The theorem on differential inequalities of S. A. Chaplygin and its further generalizations give the possibility of evaluating the unknown solution of a differential equation by two comparison functions from above and below. This method is very effective for approximate determination of the motion trajectory of electromechanical systems or for estimation of additional motion caused by deviation of actual values of the system parameters from the calculated ones. However, the widespread use of methods based on the theorem of S. A. Chaplygin is hindered by difficulties in determining its limits of applicability.
Область исследования:
(Archived) Manufacturing machinery and equipment
References
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