Abstract
This paper investigates the global periodicity of cellular neural network with impulses and constant delay. Several conditions guaranteeing the existence, uniqueness, and global exponential stability of periodic solution are derived by using the continuation theorem of coincidence degree theory and suitable degenerate Lyapuniv–Krasvovskii functional.
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A Project Supported by National Natural Science Foundation of China (Grant No.60972107, 60974020).
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Wang, H., Li, C. & Xu, H. Existence and Global Exponential Stability of Periodic Solution of Cellular Neural Networks with Delay and Impulses. Results. Math. 58, 191–204 (2010). https://doi.org/10.1007/s00025-010-0048-y
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DOI: https://doi.org/10.1007/s00025-010-0048-y