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Finite-time stability of equilibrium solutions for the inertial neural networks via the figure analysis method
Huaying Liao1, Zhengqiu Zhang2
1School of Mathematics and Information Science, Nanchang Normal University, Nanchang 330032, China.
Abstract:
The existence and finite-time stability (FTS) of equilibrium point (EP) for a kind of inertial neural networks (INNS) with varying-time delays is studied. Firstly, by adopting the degree theory and the maximum-valued method, a sufficient condition in the existence of EP is attained. Then by adopting the maximum-valued approach and the figure analysis approach, without adopting the matrix measure theory, linear matrix inequality (LMI), and FTS theorems, a sufficient condition in the FTS of EP for the discussed INNS is proposed.
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