Detail publikace

Optimization of linear differential systems by Lyapunov direct method

DEMCHENKO, H.

Originální název

Optimization of linear differential systems by Lyapunov direct method

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

Two approaches to solving optimization problems of dynamic systems are well-known. The first approach needs to find a fixed control (program control) for which the system described by differential equations reaches a predetermined value and minimizes an integral quality criterion. Proposed by L.S. Pontryagin, this method was in essence a further development of general optimization methods for dynamical systems. The second method consists in finding a control function (in the form of a feedback) guaranteeing that, simultaneously, the zero solution is asymptotically stable and an integral quality criterion attains a minimum value. This method is based on what is called the second Lyapunov method and its founder is N.N. Krasovskii. In the paper, the latter method is applied to linear differential equations and systems with integral quality criteria.

Klíčová slova

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

Autoři

DEMCHENKO, H.

Rok RIV

2015

Vydáno

23. 4. 2015

Místo

Brno

ISBN

978-80-214-5148-3

Kniha

Proceedings of the 21st Conference STUDENT EEICT 2015

Číslo edice

I.

ISSN

NEUVEDENO

Strany od

511

Strany do

515

Strany počet

5

BibTex

@inproceedings{BUT114475,
  author="Hanna {Demchenko}",
  title="Optimization of linear differential systems by Lyapunov direct method",
  booktitle="Proceedings of the 21st Conference STUDENT EEICT 2015",
  year="2015",
  number="I.",
  pages="511--515",
  address="Brno",
  isbn="978-80-214-5148-3"
}