Absolute Stability of Neutral Systems with Lurie Type Nonlinearity
Keyword(s):
T Tau
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Abstract The paper studies absolute stability of neutral differential nonlinear systems x ˙ ( t ) = A x t + B x t − τ + D x ˙ t − τ + b f ( σ ( t ) ) , σ ( t ) = c T x ( t ) , t ⩾ 0 $$ \begin{align}\dot x(t)=Ax\left ( t \right )+Bx\left ( {t-\tau} \right ) +D\dot x\left ( {t-\tau} \right ) +bf({\sigma (t)}),\,\, \sigma (t)=c^Tx(t), \,\, t\geqslant 0 \end{align} $$ where x is an unknown vector, A, B and D are constant matrices, b and c are column constant vectors, 𝜏 > 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.
2011 ◽
Vol 48-49
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pp. 17-20
2011 ◽
Vol 8
(4)
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pp. 391-402
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2003 ◽
Vol 14
(1)
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pp. 61-78
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2013 ◽
Vol 446-447
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pp. 532-535
1995 ◽
Vol 5
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pp. 591-607
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2019 ◽
Vol 29
(1)
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pp. 93-98
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