Publication detail

Optimization of linear differential systems with a Delay by Lyapunov's direct method

DEMCHENKO, H.

Original Title

Optimization of linear differential systems with a Delay by Lyapunov's direct method

Type

conference paper

Language

English

Original Abstract

In the paper linear equations with delays dx(t)/dt= ax(t)+bx(t -Ƭ1)+dx(t -Ƭ2)+cu(t), (where a, b, c, d are real constants, Ƭ1 > 0 and Ƭ2 > 0 are delays and u(t) is a control function) and their systems are considered. Using Lyapunov’s direct method, control functions minimizing quality criteria are constructed and an illustrative example is given.

Keywords

Lyapunov function, optimization problem, integral quality criterion, control function

Authors

DEMCHENKO, H.

Released

28. 4. 2016

Location

Brno

ISBN

978-80-214-5350-0

Book

Proceedings of the 22st Conference STUDENT EEICT 2016

Edition number

I.

ISBN

NEUVEDENO

Pages from

748

Pages to

752

Pages count

5

BibTex

@inproceedings{BUT125761,
  author="Hanna {Demchenko}",
  title="Optimization of linear differential systems with a Delay by Lyapunov's direct method",
  booktitle="Proceedings of the 22st Conference STUDENT EEICT 2016",
  year="2016",
  number="I.",
  pages="748--752",
  address="Brno",
  isbn="978-80-214-5350-0"
}