LPV systems with parameter-varying time delays: Analysis and control (Q5926170)

The paper considers the system NEWLINE\[NEWLINE\begin{aligned} \dot x(t) &= A(\rho(t))x(t)+ A_h(\rho(t))x (t-h(\rho(t)))+ B(\rho(t)) u(t),\\ y(t) &= C(\rho(t))x(t)+ C_h(\rho(t)) x(t- h(\rho(t)))+ D(\rho(t)) u(t)\end{aligned}NEWLINE\]NEWLINE with bounded nonincreasing delay. Also \(\rho(\cdot)\) is a function with bounded derivative. The authors develop a Lyapunov functional theory for linear stability of the equilibrium of the free system as well as for feedback stabilization.