OPTIMIZATION METHODS IN THE STABILITY INVESTIGATION OF REGULATOR SYSTEMS

被引：0
|
作者：
Shatyrko, A. V. [1 ]
Khusainov, D. Ya. [2 ]
机构：
[1] Brno Univ Technol, Brno, Czech Republic
[2] Taras Shevchenko Natl Univ Kyiv, Kiev, Ukraine
来源：
PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL I | 2018年
关键词：
Absolute stability; direct Lyapunov method; convex optimization problem; optimal Lyapunov function;
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：
As a rule, stability conditions for solutions of dynamical systems, obtained by using the second Lyapunov method, have sufficient character. We are looking for a continuously differentiable function, which have to be positive definite, and its total derivative by the system solution is negative definite. Because basically the Lyapunov function is constructed as quadratic form, conditions for sign-definite nature of the function and its total derivative become conditions for the positive definiteness of certain special matrices.
引用
收藏
页码：349 / 351
页数：3
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