The paper studies absolute stability of neutral differential nonlinear systems x˙(t)=Axt+Bxt−τ+Dx˙t−τ+bf(σ(t)),σ(t)=cTx(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.

中文翻译：

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Lurie型非线性中性系统的绝对稳定性

论文研究中性微分非线性系统的绝对稳定性x˙(t)=Axt+Bxt−τ+Dx˙t−τ+bf(σ(t)),σ(t)=cTx(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} $$ 其中 x 是一个未知向量，A、B 和 D 是常数矩阵，b 和 c 是列常数向量，𝜏 > 0 是常数延迟，f 是满足 Lipschitz 条件的 Lurie 型非线性函数。绝对稳定性由一般 Lyapunov-Krasovskii 泛函分析，结果与先前已知的结果相比较。