Stability Analysis of Second-Order Linear PDEs on Time Scales

Autor: Ruihong Liu, Chuan Zhang, Xianfu Zhang, Fanwei Meng, Hao Zhang
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Discrete Dynamics in Nature and Society, Vol 2023 (2023)
Druh dokumentu: article
ISSN: 1607-887X
DOI: 10.1155/2023/8226450
Popis: This paper presents the stability analysis of a class of second-order linear partial differential equations (PDEs) on time scales with diffusion operator and first-order partial derivative. According to the time scale theory, the Lyapunov functional method, and some inequality techniques, sufficient conditions for exponential stability are strictly obtained, and the results are generalized for that where both the discrete-time and continuous-time cases are considered jointly. In addition, the theoretical results are applied to exponential synchronization of reaction-diffusion neural networks (RDNNs). Simulation examples are given to verify the feasibility of our results.
Databáze: Directory of Open Access Journals
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