LPV systems with parameter-varying time delays: Analysis and control. (English) Zbl 0969.93020

The paper considers the system \[ \begin{aligned} \dot x(t) &= A(\rho(t))x(t)+ A_h(\rho(t))x (t-h(\rho(t)))+ B(\rho(t)) u(t),\\ y(t) &= C(\rho(t))x(t)+ C_h(\rho(t)) x(t- h(\rho(t)))+ D(\rho(t)) u(t)\end{aligned} \] 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.


93C23 Control/observation systems governed by functional-differential equations
93D20 Asymptotic stability in control theory
93D15 Stabilization of systems by feedback


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