Ternary Implicit Criterion for Robust Exponential Stability of Perturbed Stochastic BAM Systems

Abstract

This brief presents the sufficient criterion to guarantee the robust exponential stability (RES) of perturbed stochastic nonlinear bidirectional associative memory system with derivative contraction coefficients and piecewise constant arguments (SDPNBAM system). Different from the method of solving multiple transcendental equations, the upper bounds of derivative contraction coefficients, stochastic disturbances and piecewise constant arguments are parsed by the same well-defined ternary transcendental equation and characterized by a feasible geometrical enclosed space, formulating the main ternary implicit criterion. Accordingly, the dynamical interconnection among perturbed ternary variables constrained in the same transcendental equation is formed and to moderate the SDPNBAM system to be stable ultimately. Finally, the numerical simulation shows the effectiveness of main results.