A Degree-Dependent Polynomial-Based Reciprocally Convex Matrix Inequality and Its Application to Stability Analysis of Delayed Neural Networks.

Autor: Wang CR, Long F, Xie KY, Wang HT, Zhang CK, He Y
Jazyk: angličtina
Zdroj: IEEE transactions on cybernetics [IEEE Trans Cybern] 2024 Jul; Vol. 54 (7), pp. 4164-4176. Date of Electronic Publication: 2024 Jul 11.
DOI: 10.1109/TCYB.2024.3365709
Abstrakt: In this article, several improved stability criteria for time-varying delayed neural networks (DNNs) are proposed. A degree-dependent polynomial-based reciprocally convex matrix inequality (RCMI) is proposed for obtaining less conservative stability criteria. Unlike previous RCMIs, the matrix inequality in this article produces a polynomial of any degree in the time-varying delay, which helps to reduce conservatism. In addition, to reduce the computational complexity caused by dealing with the negative definite of the high-degree terms, an improved lemma is presented. Applying the above matrix inequalities and improved negative definiteness condition helps to generate a more relaxed stability criterion for analyzing time-varying DNNs. Two examples are provided to illustrate this statement.
Databáze: MEDLINE