1. Finite-time stabilization of complex-valued neural networks with proportional delays and inertial terms: A non-separation approach.
- Author
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Long, Changqing, Zhang, Guodong, Zeng, Zhigang, and Hu, Junhao
- Subjects
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DIFFERENTIAL forms , *STABILITY theory , *LYAPUNOV functions , *ADAPTIVE control systems , *DEEP learning , *PSYCHOLOGICAL feedback - Abstract
This article mainly dedicates on the issue of finite-time stabilization of complex-valued neural networks with proportional delays and inertial terms via directly constructing Lyapunov functions without separating the original complex-valued neural networks into two real-valued subsystems equivalently. First of all, in order to facilitate the analysis of the second-order derivative caused by the inertial term, two intermediate variables are introduced to transfer complex-valued inertial neural networks (CVINNs) into the first-order differential equation form. Then, under the finite-time stability theory, some new criteria with less conservativeness are established to ensure the finite-time stabilizability of CVINNs by a newly designed complex-valued feedback controller. In addition, for reducing expenses of the control, an adaptive control strategy is also proposed to achieve the finite-time stabilization of CVINNs. At last, numerical examples are given to demonstrate the validity of the derived results. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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