Robust stability and H∞ control of discrete-time jump linear systems with time-delay: an LMI approach

Considers the class of discrete-time jump linear system with time-delay and polytopic uncertain parameters. The problems of delay-independent robust stability, stabilization and H_∞ control are cast into the framework of linear matrix inequality (LMI) and thus solved by the LMI Toolbox of Matlab. By using the supplementary technique, the system with time-delay is converted into a higher dimension Markov system without time-delay, and thus can be handled as a standard jump linear system with uncertain parameters