Absolute stability of neutral type Lurie indirect control systems (Q2713088)

Absolute stability of the systems NEWLINE\[NEWLINE\begin{aligned} \dot x &= Ax(t)+ Bx(t-\tau)+ C\dot x(t-\tau)- bf(\sigma(t)),\\ \dot\sigma &= c^Tx(t)- \rho f(\sigma(t))\end{aligned}NEWLINE\]NEWLINE and NEWLINE\[NEWLINE\begin{aligned} \dot x &= Ax(t)+ Bx(t-\tau)+ C\dot x(t-\tau)- bf(\sigma(t-\tau)),\\ \dot\sigma &= c^T x(t)- \rho f(\sigma(t))\end{aligned}NEWLINE\]NEWLINE is studied using a quadratic Lyapunov functional. An example is given.