This paper is devoted to the time-varying gain controller synthesis problem for a class of
discrete-time piecewise homogeneous semi-Markov jump linear systems (SMJLSs). Both …

In this paper we introduce and define for the first time the concept of a non-homogeneous
semi-Markov system (NHSMS). The problem of finding the expected population stucture is …

A review of the evolution of the theory of non‐homogeneous Markov systems (NHMSs) is
given. It starts with the definition of the stochastic process NHMS, discusses the variability of …

This paper deals with mathematical human resource planning; more specifically, it suggests
a new model for a manpower‐planning system. In general, we study ak‐classed hierarchical …

A more realistic way to describe a model is the use of intervals which contain the required
values of the parameters. In practice we estimate the parameters from a set of data and it is …

In this paper, we provide and study a new aspect in the classical problem of the asymptotic
behavior of a nonhomogeneous Markov system (NHMS). The set of asymptotically …

For discrete-time 2-stated Markov chains the embeddable problem as well as the inverse
problem are discussed in detail based on the concept of m-th root probability matrix …

In this paper we provide two basic results. First, we find the set of all the limiting vectors of
expectations, variances and covariances in an NHMS which are possible provided that we …

We introduce and define for the first time the concept of a non-homogeneous Markov system
in a stochastic environment (S-NHMS). The problem of finding the expected population …

We find the sets of d-periodic asymptotically attainable structures, and we establish the
periodicities that exist between these structures, for a nonhomogeneous Markov system in …