Absolute Stability of Neutral Systems with Lurie Type Nonlinearity

Absolute Stability of Neutral Systems with Lurie Type Nonlinearity

The paper studies absolute stability of neutral differential nonlinear systems where is an unknown vector, , and are constant matrices, and are column constant vectors, τ > 0 is a constant delay and is a Lurie-type nonlinear function satisfying Lipschitz condition. Absolute stability is analyzed...

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Veröffentlicht in:Advances in nonlinear analysis 2022-01, Vol.11 (1), p.726-740
Hauptverfasser: Diblík, Josef, Khusainov, Denys Ya, Shatyrko, Andriy, Baštinec, Jaromír, Svoboda, Zdeněk
Format: Artikel
Sprache:eng
Schlagworte:
34K12
34K20
34K25
93D05
93D22
Absolute stability
exponential stability
Lurie type nonlinearity
neutral differential system
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Beschreibung
Zusammenfassung:The paper studies absolute stability of neutral differential nonlinear systems where is an unknown vector, , and are constant matrices, and are column constant vectors, τ > 0 is a constant delay and 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.
ISSN:2191-9496
2191-950X
DOI:10.1515/anona-2021-0216