Finite-time stabilization control for discontinuous time-delayed networks: New switching design. (March 2016)

• Record Type: Journal Article
• Authors: Zhang, Ling-Ling; Huang, Li-Hong; Cai, Zuo-Wei
• Is Part Of: Neural networks. Volume 75(2016)
• Page Start: 84
• Page End: 96
• Publication Date: 2016-03
• Subjects: Time-delayed neural networks -- Kakutani's fixed point theorem -- Discontinuous activation -- Differential inclusions -- Finite-time stabilization -- Switching controller; Neural computers -- Periodicals; Neural networks (Computer science) -- Periodicals; Neural networks (Neurobiology) -- Periodicals; Nervous System -- Periodicals; Ordinateurs neuronaux -- Périodiques; Réseaux neuronaux (Informatique) -- Périodiques; Réseaux neuronaux (Neurobiologie) -- Périodiques; Neural computers; Neural networks (Computer science); Neural networks (Neurobiology); Periodicals; 006.32
• DOI: 10.1016/j.neunet.2015.11.009
• Languages: English
• ISSNs: 0893-6080

Abstract

Abstract: This paper discusses the finite-time stabilization problem for time-varying delayed neural networks (DNNs) with discontinuous activation functions. By using fixed point theory and set-valued analysis, we establish the existence theorem of equilibrium point. In order to stabilize the states of this class of discontinuous DNNs in finite time, we design two different kinds of switching controllers which are described by discontinuous functions. Under the framework of Filippov solutions, several new and effective criteria are derived to realize finite-time stabilization of discontinuous DNNs based on the famous finite-time stability theory. Besides, the upper bounds of the settling time of stabilization are estimated. Numerical examples are finally provided to illustrate the correctness of the proposed design method and theoretical results.