Exponential state estimation for reaction-diffusion inertial neural networks via incomplete measurement scheme

Xuemei Wang, Xiaona Song, Jingtao Man and Nana Wu

Cyber-Physical Systems, 2023, vol. 9, issue 4, 357-375

Abstract: In this paper, the problem of exponential state estimation for inertial neural networks with reaction-diffusion term (RDINNs) via incomplete measurement scheme is investigated. Unlike the full measurement method, this method estimates the system by measuring the state of partially available neurons. First, by constructing an appropriate variable substitution, the second-order system is transformed into a first-order one. Then, a suitable Lyapunov-krasovskii function (LKF) is constructed, and sufficient conditions for the stability of the system are obtained . Finally, the practicality and effectiveness of the proposed method is further verified by two numerical examples.

Date: 2023
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DOI: 10.1080/23335777.2021.2014978

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