Robust and simultaneous stabilization of jump time-delay systems via output feedback

摘要

The paper considers a class of systems, described by a finite set of linear time-delay plants with jumping transition between them determined by a homogeneous Markov chain. Every state of this chain correspond to some mode of the system. Necessary and sufficient conditions for robust stabilization against polytopic mode uncertainty and for simultaneous stabilization via output feedback are obtained. LMI-based algorithms for computation of gain matrices of stabilizing controllers are also given.