Study on Stability for Interconnected Uncertain Fractional-Order Systems Based on Vector-Bounded Technique

This brief studies with problem of stability for interconnected uncertain fractional-order systems (IUFSs). Consider time-varying norm-bounded uncertainties, model for the IUFS is built. On the basis of fractional calculus theory, new order-dependent stability criteria are obtained by vector-bounded technique of trivial solutions. Finally, validity of criteria is verified by a few examples. In comparison with existing works, the derived results are more general and extendable. In addition, related results can be applied to some practical systems, such as interconnected power systems and brushless DC motors (BLDCM) system. Two examples are given for illustration.