Xuerui Wei, "Exponential Stability of Periodic Solutions for Inertial Cohen-Grossberg-Type BAM Neural Networks with Time Delays," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Xuerui Wei. Exponential Stability of Periodic Solutions for Inertial Cohen-Grossberg-Type BAM Neural Networks with Time Delays.
WSEAS Transactions on Mathematics. 2013;12:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Exponential Stability of Periodic Solutions for Inertial Cohen-Grossberg-Type BAM Neural Networks with Time Delays
Author:
Abstract: The paper is concerned with the existence and global exponential stability of periodic solutions for inertial Cohen-Grossberg-type BAM neural networks with time delays. With variable transformation the system is transformed to first order differential equations. Some new sufficient conditions ensuring the existence and global exponential stability of periodic solutions for the system are derived by constructing suitable Lyapunov functions, using Weierstrass criteria and boundedness of the solutions. Finally, an example is given to demonstrate the obtained results.
Keywords:
Cohen-Grossberg-type BAM neural networks, inertial term, Lyapunov function, Weierstrass criteria, exponential stability
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 12, 2013DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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