Probabilistic characteristics of the nonlinear dynamic parabolic system with random coefficients

被引：0

作者：

Katulev, A. N. ^{[1
]}

Kudinov, A. N. ^{[1
]}

Malevinskii, M. F. ^{[1
]}

机构：

[1] Tver State Univ, Tver 170013, Russia

来源：

AUTOMATION AND REMOTE CONTROL | 2009年 / 70卷 / 08期

关键词：

89.70.+c;

D O I：

10.1134/S0005117909080074

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A method to calculate the probabilistic characteristics of a nonlinear stochastic dynamic system by approximation of the solution of nonlinear stochastic system of parabolic equations by a segment of a uniformly converging generalized Kotel'nikov series was presented. It is applicable to any probability distributions of the random coefficients of equations for which expectations exist and provides precise solutions while considering a smaller number of the interpolation nodes as compared with the existing methods.

引用

页码：1340 / 1350

页数：11