Exponential Stability of Non-Autonomous Neural Networks with Heterogeneous Time-Varying Delays and Destabilizing Impulses

Article

DOI: 10.1007/s10013-016-0217-8

Cite this article as:
Hai An, L.D., Van Hien, L. & Loan, T.T. Vietnam J. Math. (2016). doi:10.1007/s10013-016-0217-8
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Abstract

In this paper, the problem of global exponential stability analysis of a class of non-autonomous neural networks with heterogeneous delays and time-varying impulses is considered. Based on the comparison principle, explicit conditions are derived in terms of testable matrix inequalities ensuring that the system is globally exponentially stable under destabilizing impulsive effects. Numerical examples are given to demonstrate the effectiveness of the obtained results.

Keywords

Heterogeneous delays Impulsive neural networks Destabilizing impulses Exponential stability M-matrix 

Mathematics Subject Classification (2010)

34A37 34K14 34K45 92B05 

Copyright information

© Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore 2016

Authors and Affiliations

  1. 1.Department of MathematicsVietnam Maritime UniversityNgo QuyenVietnam
  2. 2.Department of MathematicsHanoi National University of EducationHanoiVietnam

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