Stability analysis for linear time-varying systems based on generalized orthogonal polynomials

被引：0
|
作者：
Zeng, JP [1 ]
Cheng, P [1 ]
Lei, H [1 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Dept Automat Control, Beijing 100083, Peoples R China
来源：
PROCEEDINGS OF THE 3RD WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-5 | 2000年
关键词：
generalized orthogonal polynomials; linear time-varying systems; stability; state transition matrix;
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：
In this paper, generalized orthogonal polynomials are directly used to investigate state transition matrix for linear time-varying systems. The approximated series of state transition matrix for such systems is constructed via generalized orthogonal polynomial expansion, and it is shown that the approximated series can retain many properties of state transition matrix under some conditions. Moreover, new criteria of stability for linear time-varying systems are given in terms of the approximated series, the criteria are easier to be tested than the known ones due to the computation advantages via generalized orthogonal polynomials expansion.
引用
收藏
页码：2806 / 2810
页数：5
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