Abstract
In this paper, an impulsive quaternion-valued neural networks (QVNNs) model with leakage, discrete, and distributed delays is considered. Based on the homeomorphic mapping method, Lyapunov stability theorem, and linear matrix inequality (LMI) approach, sufficient conditions for the existence, uniqueness, and global robust stability of the equilibrium point of the impulsive QVNNs are provided. A numerical example is provided to confirm the obtained results. A conclusion is presented in the end.
Highlights
In this paper, an impulsive quaternion-valued neural networks (QVNNs) model with leakage, discrete, and distributed delays is considered
One specific example in reality is reconstructing gray and color images using designed QVNNs, which can possess high storage capacity in applications of associative memory and pattern recognition. For this class of QVNNs, via eigenstructure method, the results developed by researchers enable us to synthesize neural networks with specified equilibrium points
Other applications of parameter uncertainty for the integer-order neural network can be seen in the design of PI controller, the stability region of systems with parameter uncertainty is essential to the design of PI controller
Summary
Using Lemma 4 and Assumption (A1), for the positive definiteness of 2P2 – P4, P4 and R, we have from (14) that 0 ≤ (q1 – q2)∗
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