%0 Journal Article %A Zinchuk, Nikolay A. %A Ivanenko, Victor I. %D 1999 %I Begell House %K discrete state space, mathematical model, nonlinear system, ordinary differential equations, uniqueness of solution, positiveness of solution, dynamics, processing %N 7-9 %P 8-13 %R 10.1615/JAutomatInfScien.v31.i7-9.380 %T Dynamics Investigation of Systems with a Discrete State Space %U https://www.dl.begellhouse.com/journals/2b6239406278e43e,69fb601f3b58afbf,4d6eb8da49342dee.html %V 31 %X We develop the new approach for investigation of a wide class of systems with a discrete state space (SDSS). We construct the mathematical model of SDSS as a nonlinear system of differential equations of the special form. We prove uniqueness and positiveness of the solution of the constructed system. An example of SDSS is given. %8 1999-10-01