Absolute Stability of Neutral Systems with Lurie Type Nonlinearity

Abstract The paper studies absolute stability of neutral differential nonlinear systems x ˙ ( t stretchy="false">) = A + B − τ D b f σ , c T ⩾ 0 $$ \begin{align}\dot x(t)=Ax\left ( t \right )+Bx\left {t-\tau} ) +D\dot x\left +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 c column vectors,