Stability and response bounds of non-conservative linear systems

被引：0

作者：

Pommer, C ^{[1
]}

机构：

[1] Tech Univ Denmark, Dept Math, DK-2800 Lyngby, Denmark

来源：

2003 INTERNATIONAL CONFERENCE PHYSICS AND CONTROL, VOLS 1-4, PROCEEDINGS: VOL 1: PHYSICS AND CONTROL: GENERAL PROBLEMS AND APPLICATIONS; VOL 2: CONTROL OF OSCILLATIONS AND CHAOS; VOL 3: CONTROL OF MICROWORLD PROCESSES. NANO- AND FEMTOTECHNOLOGIES; VOL 4: NONLINEAR DYNAMICS AND CONTROL | 2003年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For a linear system of second order differential equations the stability is studied by Lyapunov's direct method. The Lyapunov matrix equation is solved and a sufficient condition for stability is expressed by the system matrices. For a system which satisfies the condition for stability the Lyapunov function is used to derive amplitude bounds of displacement and velocity in the homogeneous as well as in the inhomogeneous case. The developed results are illustrated by examples.

引用

页码：1106 / 1109

页数：4

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