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 strive...

This paper presents some new propositions related to the fractional order h-difference operators, for case of general quadratic forms and polynomial type, which allow proving stability systems, by means discrete Lyapunov direct method, using functions, functions any positive integer order, respectively. Some examples are given illustrate these results.

We consider both primal and dual formulations of singular autonomous systems three different types fractional-order differential equations. present a comprehensive study which proves that by using the spectrum linear pencil, polynomial matrix first order, not pencil prime system, we will receive information for all properties its system. In addition, this spectrum, solutions can be obtained for...