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Global Mittag-Leffler stability of Fractional-Order Projection Neural Networks with Impulses
This paper is about the study of a new class of fractional-order projection
neural networks with impulses which capture the desired features of both the
variational inequality and the fractional-order impulsive dynamical systems
within the same framework. We obtain the existence and boundedness of solutions
for such fractional-order projection neural networks under mild conditions.
Moreover, we give some sufficient conditions for ensuring the global
Mittag-Leffler stability of the equilibrium point for such fractional-order
projection neural networks by utilizing a general quadratic Lyapunov function.
Finally, we provide two numerical examples to illustrate the validity and
feasibility of the main results