This paper is devoted to the dynamic output-feedback control problem for a class of linear
semi-Markov jump systems (SMJSs) in discrete-time domain. A mode-dependent control
scheme is employed with an adaptation sense under incomplete semi-Markov kernel, which
has been shown to be more practical. By introducing the upper bound of sojourn time for
each system mode, numerically testable stabilization criteria are established for discrete-
time linear SMJSs via a novel form of Lyapunov function. The adopted Lyapunov matrix …

This article is concerned with the problem of the static output-feedback control for a class of
discrete-time linear semi-Markov jump systems (SMJSs). Through a mode-dependent
resilient control scheme and an invertible linear transformation, a resulting equivalent closed-
loop system can be obtained. The embedded Markov chain (EMC) is piecewise
homogeneous, which leads to incomplete semi-Markov kernel is variable in the finite
interval. A novel class of multivariate dependent Lyapunov function is constructed, which is …