Game-theoretical problems for fractional-order nonstationary systems

Abstract Nonstationary fractional-order systems represent a new class of dynamic characterized by time-varying parameters as well memory effect and hereditary properties. Differential game described system linear nonstationary differential equations fractional order is treated in the paper. The involves two players, one which tries to bring system’s trajectory terminal set, whereas other strives prevent it. Using technique set-valued maps their selections, sufficient conditions for reaching set finite time are derived. Theoretical results supported model example.