Abstract
In this paper, we study discrete fractional order singular systems with multiple time-varying delays. By use of new techniques, some useful fractional order difference inequalities are given. Then, conditions based on matrix inequalities and discrete fractional Lyapunov direct method have been obtained for the asymptotic stability of such systems. Further, the stability theories are applied to the stabilization problem of such systems via state feedback control (SFC) and time-delayed feedback control (DFC). Finally, an example is presented to illustrate one of the results.
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