This paper is concerned with the decentralized stabilization problem for a class of uncertain large-scale systems with Markovian jump parameters. The controllers use local subsystem states and neighboring mode information to generate local control inputs. A sufficient condition involving rank constrained linear matrix inequalities is proposed for the design of such controllers. A numerical example is given to illustrate the developed theory.
@article{arxiv.1306.5836,
title = {Robust Decentralized Stabilization of Markovian Jump Large-Scale Systems: A Neighboring Mode Dependent Control Approach},
author = {Shan Ma and Junlin Xiong and Valery A. Ugrinovskii and Ian R. Petersen},
journal= {arXiv preprint arXiv:1306.5836},
year = {2013}
}