Stability of digital control systems subject to jump linear random perturbations

In a number of applications involving fault tolerant digital control systems, there naturally arises a class of jump linear discrete-time systems characterized by having random perturbations in their drift terms. In the paper, a necessary and sufficient condition for mean square stability of such systems is developed and then applied to the stability analysis of digital flight control systems operating in electromagnetic (EM) environments. In particular, the stability degradation due to EM induced digital memory errors is examined