Finite-Time Stabilizability and Instabilizability of Delayed Memristive Neural Networks with Nonlinear Discontinuous Controller

作者：Wang, Leimin; Shen, Yi^*

来源：IEEE Transactions on Neural Networks and Learning Systems, 2015, 26(11): 2914-2924.

DOI：10.1109/TNNLS.2015.2460239

• Delayed memristive neural networks (DMNNs)
• finite-time stabilizability
• finite-time instabilizability
• nonlinear controller
• settling time

This paper is concerned about the finite-time stabilizability and instabilizability for a class of delayed memristive neural networks (DMNNs). Through the design of a new nonlinear controller, algebraic criteria based on M-matrix are established for the finite-time stabilizability of DMNNs, and the upper bound of the settling time for stabilization is estimated. In addition, finite-time instabilizability algebraic criteria are also established by choosing different parameters of the same nonlinear controller. The effectiveness and the superiority of the obtained results are supported by numerical simulations.

• 出版日期2015-11
• 单位华中科技大学