Publication result detail

The stability of nonlinear differential systems with random parameters

DIBLÍK, J.; DZHALLADOVA, I.; RŮŽIČKOVÁ, M.

Original Title

The stability of nonlinear differential systems with random parameters

English Title

The stability of nonlinear differential systems with random parameters

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

The paper deals with nonlinear differential systems with random parameters in a general form. A new method for construction of the Lyapunov functions is proposed and is used to obtain sufficient conditions for L_2-stability of the trivial solution of the considered systems.

English abstract

The paper deals with nonlinear differential systems with random parameters in a general form. A new method for construction of the Lyapunov functions is proposed and is used to obtain sufficient conditions for L_2-stability of the trivial solution of the considered systems.

Keywords

Nonlinear differential system, random parameters, Lyapunov functions, L_2-stability, the trivial solution.

Key words in English

Nonlinear differential system, random parameters, Lyapunov functions, L_2-stability, the trivial solution.

Authors

DIBLÍK, J.; DZHALLADOVA, I.; RŮŽIČKOVÁ, M.

RIV year

2013

Released

12.10.2012

ISBN

1085-3375

Periodical

Abstract and Applied Analysis

Volume

2012

Number

Article ID924107

State

United States of America

Pages from

1

Pages to

27

Pages count

27

BibTex

@article{BUT94380,
  author="Josef {Diblík} and Irada {Dzhalladova} and Miroslava {Růžičková}",
  title="The stability of nonlinear differential systems with random parameters",
  journal="Abstract and Applied Analysis",
  year="2012",
  volume="2012",
  number="Article ID924107",
  pages="1--27",
  issn="1085-3375"
}