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

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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… Click to show full abstract

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.

Keywords: stabilization; fractional order; switched networks; order complex; complex switched

Journal Title: IEEE Access
Year Published: 2018

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