Stabilization of Uncertain Fractional-Order Complex Switched Networks via Impulsive Control and Its Application to Blind Source Separation

This paper investigates the impulsive stabilization of fractional-order complex switched networks with parametric uncertainty. Using a fractional-order Lyapunov method and matrix inequality techniques, the dynamical characteristics of the controlled impulsive system are well captured, and a novel impulsive stabilizing criterion is derived in terms of algebraic conditions. The stabilization criterion is dependent on system parameters and on the lengths of impulsive intervals. In addition, a simulation example is given to demonstrate the effectiveness of the newly obtained results. Finally, an application of the obtained control pulse is also presented in the blind source separation.