Stability Analysis for Delayed Neural Networks Considering Both Conservativeness and Complexity

• Published in: IEEE transaction on neural networks and learning systems Vol. 27; no. 7; pp. 1486 - 1501
• Main Authors: Zhang, Chuan-Ke, He, Yong, Jiang, Lin, Wu, Min
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.07.2016; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Biological neural networks; Calculation complexity; Complexity; Complexity theory; conservativeness; Criteria; Delay; delay-dependent stability; delayed neural networks (DNNs); Delays; Derivatives; Guidelines; Lyapunov-Krasovskii functional (LKF); Mathematical analysis; Neural networks; Numerical stability; Stability; Stability criteria; Symmetric matrices; delay-dependent stability; conservativeness; Lyapunov–Krasovskii functional (LKF); Calculation complexity; delayed neural networks (DNNs)

This paper investigates delay-dependent stability for continuous neural networks with a time-varying delay. This paper aims at deriving a new stability criterion, considering tradeoff between conservativeness and calculation complexity. A new Lyapunov-Krasovskii functional with simple augmented term...