Detail publikačního výsledku

Absolute Stability of Neutral Systems with Lurie Type Nonlinearity

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

Originální název

Absolute Stability of Neutral Systems with Lurie Type Nonlinearity

Anglický název

Absolute Stability of Neutral Systems with Lurie Type Nonlinearity

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

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

Rok RIV

2022

Vydáno

01.01.2022

Nakladatel

De Gruyter

ISSN

2191-950X

Periodikum

Advances in Nonlinear Analysis

Svazek

11

Číslo

1

Stát

Spolková republika Německo

Strany od

726

Strany do

740

Strany počet

15

URL

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

Plný text v Digitální knihovně

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"
}

Dokumenty

10.1515_anona-2021-0216