Absolute Stability of Neutral Systems with Lurie Type Nonlinearity
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Date
2022-01-01
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Advisor
Referee
Mark
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De Gruyter
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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.
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Citation
Advances in Nonlinear Analysis. 2022, vol. 11, issue 1, p. 726-740.
https://www.degruyter.com/document/doi/10.1515/anona-2021-0216/html
https://www.degruyter.com/document/doi/10.1515/anona-2021-0216/html
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Peer-reviewed
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Published version
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en