Stabilization of decentralized descriptor-type neutral time-delay systems by time-delay controllers

Stabilization of non-impulsive descriptor-type linear time-invariant (LTI) neutral time-delay systems by decentralized feedback is considered. It is shown that, provided that the stability axis is to the right of the finite-spectrum abscissa of the system, there exists a stabilizing decentralized finite-dimensional LTI or a decentralized descriptor-type LTI neutral time-delay controller for such a system if and only if the system does not have any unstable decentralized fixed modes.