Robust Passivity and Stability Analysis of Uncertain Complex-Valued Impulsive Neural Networks with Time-Varying Delays

In this article, we investigate the robust passivity and stability analysis of uncertain complex-valued impulsive neural network (UCVINN) models with time-varying delays. Many practical systems are subject to uncertainty in the real-world environments. As a result, we consider the uncertainty of nor...

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Bibliographic Details
Published inNeural processing letters Vol. 53; no. 1; pp. 581 - 606
Main Authors Rajchakit, G., Sriraman, R.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.02.2021
Springer Nature B.V
Subjects
Artificial Intelligence
Complex Systems
Computational Intelligence
Computer Science
Linear matrix inequalities
Mathematical models
Neural networks
Robustness (mathematics)
Stability analysis
Uncertainty
Time delays
Stability
93D20
Impulsive
Neural networks
93D09
37B25
Passivity
92B20
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Summary:In this article, we investigate the robust passivity and stability analysis of uncertain complex-valued impulsive neural network (UCVINN) models with time-varying delays. Many practical systems are subject to uncertainty in the real-world environments. As a result, we consider the uncertainty of norm-bounded parameters to achieve more realistic system behaviors. By using appropriate Lyapunov–Krasovskii functionals and integral inequalities, sufficient conditions for the robust passivity and global asymptotic stability of UCVINNs are derived by separating complex-valued neural networks into real and imaginary parts. The criteria are given in terms of linear matrix inequalities (LMIs) that can be checked by the MATLAB LMI toolbox. Finally, numerical simulations are presented to illustrate the merits of the obtained results.
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ISSN:1370-4621
1573-773X
DOI:10.1007/s11063-020-10401-w