Exponential Stability of Stochastic Inertial Cohen–Grossberg Neural Networks

Autor:	Yuehong Zhang, Zhiying Li, Wangdong Jiang, Wei Liu
Rok vydání:	2023
Předmět:	Artificial Intelligence Computer Vision and Pattern Recognition Software
Zdroj:	International Journal of Pattern Recognition and Artificial Intelligence. 37
ISSN:	1793-6381 0218-0014
DOI:	10.1142/s0218001422590327
Popis:	In this paper, we adopt two methods to study the problem. Initially, directly from the second-order differential equation, we obtain a sufficient condition (SC) for the mean square exponential stability (MSES) of the system at the equilibrium point by constructing a suitable function and applying some properties of calculus. Thereafter, the system is transformed into a vector form, using the basic solution matrix of linear differential equation, constructing a piecewise function and using the generalized Halanay one-dimensional delay differential inequality, another SC is given for the P-moment exponential stability (PMES) of the system at the equilibrium point. Finally, two examples are used to investigate the correctness and demonstrate that each SC has own advantage, the suitable theorem can be selected according to the parameters.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ca45d279bc85e49abacc671d3e4a5d53 https://doi.org/10.1142/s0218001422590327 Zobrazit plný text záznamu