Control of discrete-time semi-Markovian switched linear singular systems

This paper studies the issues of stability analysis and stabilizing controller design for a class of discrete -time semi-Markovian switched linear singular systems. The novel sufficient criteria for such systems to be sigma-error mean square admissible are proposed for the first time. By adopting the improved technology of eliminating matrix power terms for singular systems, the existence conditions are proposed for state feedback controller in terms of a group of linear matrix inequalities. An example is presented to illustrate the validity of our results.