, Volume 41, Issue 3, pp 435468
First online:
Complete Stability Analysis of ComplexValued Neural Networks with Time Delays and Impulses
 R. RakkiyappanAffiliated withDepartment of Mathematics, Bharathiar University Email author
 , G. VelmuruganAffiliated withDepartment of Mathematics, Bharathiar University
 , Xiaodi LiAffiliated withSchool of Mathematical Sciences, Shandong Normal University
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In this paper, we extensively study the analysis of complete stability of complexvalued neural networks with time delay and impulsive effects. Using stability theory, impulsive effects and by constructing appropriate Lyapunov–Krasovskii functional, some sufficient conditions for the existence and complete stability of complexvalued neural networks with time delay and impulsive effects are derived in the form of complexvalued linear matrix inequality (LMIs) as well as realvalued LMIs. Finally, four numerical examples are given to establish the effectiveness of our theoretical results via standard numerical software.
Keywords
Complexvalued neural networks Impulsive effects Time delays Multistability Linear matrix inequality (LMI) Title
 Complete Stability Analysis of ComplexValued Neural Networks with Time Delays and Impulses
 Journal

Neural Processing Letters
Volume 41, Issue 3 , pp 435468
 Cover Date
 201506
 DOI
 10.1007/s1106301493496
 Print ISSN
 13704621
 Online ISSN
 1573773X
 Publisher
 Springer US
 Additional Links
 Topics
 Keywords

 Complexvalued neural networks
 Impulsive effects
 Time delays
 Multistability
 Linear matrix inequality (LMI)
 Industry Sectors
 Authors

 R. Rakkiyappan ^{(1)}
 G. Velmurugan ^{(1)}
 Xiaodi Li ^{(2)}
 Author Affiliations

 1. Department of Mathematics, Bharathiar University, Coimbatore , 641 046, Tamilnadu, India
 2. School of Mathematical Sciences, Shandong Normal University, Jinan , 250014, People’s Republic of China