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The article considers discrete time-varying fractional order systems with delays in control signal. The solution of time-varying system and its transition matrix are presented. Moreover, the general formula of solution of difference state equation is used to formulate the necessary and sufficient condition for controllability of the considered system in a given interval [k0, k] with respect to p-delays...
The presented research work considers stability criteria of second-order differential equation. The second-order discrete-time oscillator equation is obtained from discretization of second order continuous-time equation using the forward difference operator. The stability criteria are drawn with freezing method and are presented in the terms of the equation coefficients. Finally, an illustrative example...
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