Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume 2020, Issue 1, Pages -Publisher
SPRINGEROPEN
DOI: 10.1186/s13662-020-2523-4
Keywords
Quaternion-valued neural network; Anti-periodic solution; Coincidence degree; Wirtinger inequality; Lyapunov functional
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Funding
- National Natural Science Foundation of China [11861072]
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In this paper, we are concerned with a class of quaternion-valued cellular neural networks with time-varying transmission delays and leakage delays. By applying a continuation theorem of coincidence degree theory and the Wirtinger inequality as well as constructing a suitable Lyapunov functional, sufficient conditions are derived to ensure the existence and global exponential stability of anti-periodic solutions via direct approaches. Our results are completely new. Finally, numerical examples are also provided to show the effectiveness of our results.
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