Improved delay-dependent stability analysis for uncertain stochastic neural networks with time-varying delay

Abstract

This paper focuses on the problem of delaydependent robust stability analysis for a class of uncertain stochastic neural networks with time-varying delay by employing improved free-weighting matrix method. Taking the relationship among the time-varying delay, its upper bound and their difference into account and using Itô's differential formula, some improved LMI-based delay-dependent stability criteria for stochastic neural networks are obtained without ignoring any terms, which guarantee systems globally robustly stochastically stable in the mean square. Finally, three numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.

Robust wide‐area damping controller design for inter‐area oscillations with signals' delay

“…Several stability conditions [19][20][21][22][23] have been proposed for the time-delay system (8). As a recently developed approach in the field of control theory, a free-weighting matrices (FWMs) approach was proposed to handle the stability/stabilization problem for many types of timedelay system [24][25][26][27]. Compared to the conventional fixed model transformations methods, the FWMs approach can reduce the conservativeness of the designed controller.…”