The Choice of Model of External Load in Problem of Synthesis of Adequate Mathematical Description  

出　　处：《Journal of Mathematics and System Science》2012年第8期489-493,共5页数学和系统科学（英文版）

摘　　要：The problem of mathematical simulation of motion of dynamic systems characteristics and their coincidence with real experimental data which correspond to these characteristics is investigated in this paper. Mathematical description of process will be named as adequate mathematical description if the results of mathematical simulation by the help of this description coincide with experiment with inaccuracy of initial data. The synthesis of such description is very important at mathematical modeling and forecast of motion of real physical phenomena. The specified problem is still poorly investigated and hardly adapted to formalization. The requirements to the adequate mathematical description of dynamic system are considered for the case when mathematical description of dynamic systems is represented by linear system of the ordinary differential equations. In this paper the mathematical model of process is given a priori with inexact parameters and then the models of external loads are being determined for which the results of simulation coincide with experiment. The methods of obtaining of the steady models of external loads are suggested. The example of the adequate description construction of the main mechanical line dynamics of rolling mill is given.

关 键 词：Dynamic systems adequate description external load identification. 

分 类 号：O141.4[理学—数学] TQ320.662[理学—基础数学]