Decentralized Strong Stabilizability of Time-Delay Systems
Süleyman Mert Özer, Altuğ İftar · 2024
The decentralized strong stabilization problem, i.e., the problem of designing a decentralized stable stabilizing controller, is considered for linear time-invariant (LTI) multi-input multi-output time-delay systems. A characterization of decentralized blocking zeros is given and it is shown that the parity interlacing property, where decentralized blocking zeros, instead of centralized ones, should be used, is also a necessary condition for decentralized strong stabilizability of LTI time-delay systems. A numerical example is also presented to demonstrate a possible application of the theoretical results.