“…This class of systems is very appropriate to model plants whose structure is subject to random abrupt changes due to, for instance, random component failures, abrupt environment disturbance, changes of the operating point of a linearized model of a nonlinear system, etc. A number of control problems related to discretetime MJL systems has been analysed by several authors; see, for instance, Blair and Sworder (1975), Boukas and Liu (2001), Costa and do Val (1996), Costa and Fragoso (1993), Costa and Marques (2000), Fragoso (1989), Fragoso et al (1995), Ji and Chizeck (1990), Ji et al (1991), Morozan (1983), Shi et al (1999), Wonham (1970) and the references therein. In particular with regard to H ∞ control of discrete-time MJL systems, state-feedback control have been studied in, for instance, Costa and do Val (1996) and Fragoso et al (1995), whereas robust H ∞ control schemes have been proposed in, e.g.…”