STABILITY AND STABILIZATION OF THE FAMILY OF PSEUDOLINEAR DIFFERENTIAL SYSTEMS

被引：1

作者：

Mazko, A. G. ^{[1
]}

Shram, V. V. ^{[1
]}

机构：

[1] Ukrainian Natl Acad Sci, Inst Math, Kiev, Ukraine

来源：

NONLINEAR OSCILLATIONS | 2011年 / 14卷 / 02期

关键词：

D O I：

10.1007/s11072-011-0154-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New methods for the analysis of the robust stability of equilibrium states are developed for some classes of nonlinear differential systems. We formulate sufficient conditions for the stability of the trivial solutions of the families of pseudolinear controlled systems with undetermined coefficient matrices and feedback from the measured output. A method is developed for the analysis of stability according to the first approximation to the family of nonlinear systems. The application of the obtained results is reduced to the solution of systems of linear differential matrix inequalities. We present an example of a system of stabilization of a double inverted pendulum.

引用

页码：237 / 248

页数：12