Publication result detail

Absolute Stability of Neutral Systems with Lurie Type Nonlinearity

DIBLÍK, J.; KHUSAINOV, D.; SHATYRKO, A.; BAŠTINEC, J.; SVOBODA, Z.

Original Title

Absolute Stability of Neutral Systems with Lurie Type Nonlinearity

English Title

Absolute Stability of Neutral Systems with Lurie Type Nonlinearity

Type

WoS Article

Original Abstract

The paper studies absolute stability of neutral differential nonlinear systems (x) over dot (t) = Ax (T) + Bx (t - tau) +D(x) over dot (T - tau) + bf (sigma(t)), sigma(t) = c(T) x(t), t >= 0 where x is an unknown vector, A, B and D are constant matrices, b and c are column constant vectors, tau > 0 is a constant delay and f is a Lurie-type nonlinear function satisfying Lipschitz condition. Absolute stability is analyzed by a general Lyapunov-Krasovskii functional with the results compared with those previously known.

English abstract

The paper studies absolute stability of neutral differential nonlinear systems (x) over dot (t) = Ax (T) + Bx (t - tau) +D(x) over dot (T - tau) + bf (sigma(t)), sigma(t) = c(T) x(t), t >= 0 where x is an unknown vector, A, B and D are constant matrices, b and c are column constant vectors, tau > 0 is a constant delay and f is a Lurie-type nonlinear function satisfying Lipschitz condition. Absolute stability is analyzed by a general Lyapunov-Krasovskii functional with the results compared with those previously known.

Keywords

Absolute stability; exponential stability; neutral differential system; Lurie type nonlinearity

Key words in English

Absolute stability; exponential stability; neutral differential system; Lurie type nonlinearity

Authors

DIBLÍK, J.; KHUSAINOV, D.; SHATYRKO, A.; BAŠTINEC, J.; SVOBODA, Z.

RIV year

2022

Released

01.01.2022

Publisher

De Gruyter

ISBN

2191-950X

Periodical

Advances in Nonlinear Analysis

Volume

11

Number

1

State

Federal Republic of Germany

Pages from

726

Pages to

740

Pages count

15

URL

https://www.degruyter.com/document/doi/10.1515/anona-2021-0216/html

Full text in the Digital Library

http://hdl.handle.net/11012/203988

BibTex

@article{BUT175471,
  author="Josef {Diblík} and Denys Ya. {Khusainov} and Andrej {Shatyrko} and Jaromír {Baštinec} and Zdeněk {Svoboda}",
  title="Absolute Stability of Neutral Systems with Lurie Type Nonlinearity",
  journal="Advances in Nonlinear Analysis",
  year="2022",
  volume="11",
  number="1",
  pages="726--740",
  doi="10.1515/anona-2021-0216",
  issn="2191-9496",
  url="https://www.degruyter.com/document/doi/10.1515/anona-2021-0216/html"
}

Documents

10.1515_anona-2021-0216