| Citation: |
Jin Gao, Lihua Dai. ANTI-PERIODIC SYNCHRONIZATION OF CLIFFORD-VALUED NEUTRAL-TYPE CELLULAR NEURAL NETWORKS WITH D OPERATOR[J]. Journal of Applied Analysis & Computation, 2023, 13(5): 2572-2595. doi: 10.11948/20220461
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ANTI-PERIODIC SYNCHRONIZATION OF CLIFFORD-VALUED NEUTRAL-TYPE CELLULAR NEURAL NETWORKS WITH D OPERATOR
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Abstract
This paper explores a class of delayed Clifford-valued neutral-type cellular neural networks with $D$ operator. Considering that the multiplication of Clifford algebras does not satisfy the commutativity, by applying the non-decomposition method, Krasnoselskii's Fixed Point Theorem and the proof by contradiction, we obtain several sufficient conditions for the existence and global exponential synchronization of anti-periodic solutions for Clifford-valued neutral-type cellular neural networks with $D$ operator. Finally, we give one example to illustrate the feasibility and effectiveness of the main results.
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References
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Jin Gao, Lihua Dai. ANTI-PERIODIC SYNCHRONIZATION OF CLIFFORD-VALUED NEUTRAL-TYPE CELLULAR NEURAL NETWORKS WITH D OPERATOR[J]. Journal of Applied Analysis & Computation, 2023, 13(5): 2572-2595. doi: 10.11948/20220461
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Figure 1.
Transient states of the solutions
$ x_{i}^{0} $ $ i=1, 2 $ -
Figure 2.
Transient states of the solutions
$ x_{i}^{1} $ $ i=1, 2 $ -
Figure 3.
Transient states of the solutions
$ x_{i}^{2} $ $ i=1, 2 $ -
Figure 4.
Transient states of the solutions
$ x_{i}^{12} $ $ i=1, 2 $ -
Figure 5.
Transient states of the solutions
$ y_{i}^{0} $ $ i=1, 2 $ -
Figure 6.
Transient states of the solutions
$ y_{i}^{1} $ $ i=1, 2 $ -
Figure 7.
Transient states of the solutions
$ y_{i}^{2} $ $ i=1, 2 $ -
Figure 8.
Transient states of the solutions
$ y_{i}^{12} $ $ i=1, 2 $ -
Figure 9.
State response curve of four parts of synchronization error.