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Finite‐Time Synchronization of Complex‐Valued Delayed Neural Networks with Discontinuous Activations
Author(s) -
Wu Enli,
Yang Xinsong,
Xu Chen,
Alsaadi Fuad E.,
Hayat Tasawar
Publication year - 2018
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1725
Subject(s) - differential inclusion , synchronization (alternating current) , control theory (sociology) , artificial neural network , structuring , state (computer science) , mathematics , computer science , differential (mechanical device) , lyapunov function , control (management) , nonlinear system , mathematical optimization , topology (electrical circuits) , algorithm , engineering , artificial intelligence , aerospace engineering , physics , finance , combinatorics , quantum mechanics , economics
Abstract In this paper, finite‐time synchronization for a class of complex‐valued neural networks with time delays and discontinuous activations is concerned under the framework of Filippov solutions. Both state feedback and adaptive controllers are designed to overcome the difficulties in dealing with the time delay and the uncertainties of Filippov solutions. Based on the concept of Filippov solutions, differential inclusion and structuring suitable Lyapunov‐Krasovskii functionals, some sufficient conditions are obtained to guarantee that a controlled response system is synchronized with a driving system in a finite time. Finally, numerical simulations are given to show the effectiveness of the theoretical results.