Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks. Academic Article

abstract

• In this paper, the fixed-time stability of dynamical systems and the fixed-time synchronization of coupled discontinuous neural networks are investigated under the framework of Filippov solution. Firstly, by means of reduction to absurdity, a theorem of fixed-time stability is established and a high-precision estimation of the settling-time is given. It is shown by theoretic proof that the estimation bound of the settling time given in this paper is less conservative and more accurate compared with the classical results. Besides, as an important application, the fixed-time synchronization of coupled neural networks with discontinuous activation functions is proposed. By designing a discontinuous control law and using the theory of differential inclusions, some new criteria are derived to ensure the fixed-time synchronization of the addressed coupled networks. Finally, two numerical examples are provided to show the effectiveness and validity of the theoretical results.

authors

• Huang, Tingwen

published proceedings

• Neural Netw

author list (cited authors)

• Hu, C., Yu, J., Chen, Z., Jiang, H., & Huang, T.

citation count

• 220

complete list of authors

• Hu, Cheng||Yu, Juan||Chen, Zhanheng||Jiang, Haijun||Huang, Tingwen

publication date

• May 2017

publisher

• Elsevier  Publisher

published in

• Neural Networks  Journal

keywords

• Algorithms
• Discontinuous Neural Network
• Dynamical System
• Fixed-time Stability
• Fixed-time Synchronization
• Neural Networks, Computer
• Time Factors

PubMed Central ID

• 28364661

Digital Object Identifier (DOI)

• 10.1016/j.neunet.2017.02.001

start page

• 74

end page

• 83

volume

• 89

URL

• http://dx.doi.org/10.1016/j.neunet.2017.02.001