Publication detail

OPTIMIZATION METHODS IN THE STABILITY INVESTIGATION OF REGULATOR SYSTEMS

SHATYRKO, A. KHUSAINOV, D.

Original Title

OPTIMIZATION METHODS IN THE STABILITY INVESTIGATION OF REGULATOR SYSTEMS

Type

conference paper

Language

English

Original Abstract

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.

Keywords

Absolute stability; direct Lyapunov method; convex optimization problem; optimal Lyapunov function

Authors

SHATYRKO, A.; KHUSAINOV, D.

Released

13. 6. 2018

Location

Baku

ISBN

978-9952-37-093-5

Book

PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL

Pages from

349

Pages to

351

Pages count

3

BibTex

@inproceedings{BUT169820,
  author="Denys Ya. {Khusainov} and Andriy {Shatyrko}",
  title="OPTIMIZATION METHODS IN THE STABILITY INVESTIGATION OF REGULATOR SYSTEMS",
  booktitle="PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL",
  year="2018",
  pages="349--351",
  address="Baku",
  isbn="978-9952-37-093-5"
}