STOCHASTIC STABILITY IN NONLINEAR OSCILLATING SYSTEMS

被引：6

作者：

KU, YH

机构：

[1] Moore School, Electrical Engineering University of Pennsylvania, Philadelphia, PA

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 1969年 / 288卷 / 04期

关键词：

D O I：

10.1016/0016-0032(69)90162-8

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper gives an extension of the Liapunov theory to the stability study of third- and higher-order nonlinear systems with stochastic coefficients. A Liapunov function V(x) is first obtained, similar to the deterministic case. Instead of V (x) = dV dt, introduce the stochastic analog ÃV(x), where Ã denotes the differential generator. Two third-order and four fourth-order examples are given. One fifth-order and one sixth-order nonlinear system are also included. Stability conditions are stated in each of the examples. © 1969.

引用

页码：305 / &

共 22 条

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[10]

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