Linkage-constraint criteria for robust exponential stability of nonlinear BAM system with derivative contraction coefficients and piecewise constant arguments

Abstract

This paper presents linkage-constraint criteria to guarantee the robustness of global exponential stability (RoGES) for a class of generalized nonlinear bidirectional associative memory (BAM) systems in the presence of derivative contraction coefficients and piecewise constant arguments (NBAM-dp system). However, because of the appearance of the tricky derivative compression coefficients and coupling relation with piecewise constant arguments, the previous Gronwall inequality is not applicable here. Thus, by means of generalized Gronwall inequality and norm inequality techniques, an independent parameters and interdependent variables (IPIV) principle is designed to solve the implicit bivariate transcendental equations to provide the respective supremum of the two interference factors, and the major criteria for guaranteeing the RoGES for NBAM-dp systems are obtained accordingly. Meanwhile, according to the IPIV principle, the relationship between the above two interference factors reflected in the linkage-constraint criteria is ensured to be mutually constrained and dynamically interconnected. Finally, comparative simulations and auxiliary data are provided to demonstrate the effectiveness of the theoretical findings.