Journal
ISA TRANSACTIONS
Volume 59, Issue -, Pages 133-148Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.isatra.2015.09.008
Keywords
Passivity; Memristive neural networks; Uncertainty; Leakage delay; Time-varying delays; Lyapunov method
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Funding
- National Natural Science Foundation of China [61273015]
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In this paper, the problem of passivity analysis is studied for memristor-based uncertain neural networks with leakage and time-varying delays. By combining differential inclusions with set-valued maps, the system of memristive neural networks is changed into the conventional one. By adding a triple quadratic integral and relaxing the requirement for the positive definiteness of some matrices, a proper Lyapunov-Krasovskii functional is constructed. Based on the establishment of the novel Lyapunov-Krasovskii functional, the new passivity criteria are derived by mainly applying Wirtinger-based double integral inequality, S-procedure and so on. Moreover, the conservatism of passivity conditions can be reduced. Finally, four numerical examples are given to show the effectiveness and less conservatism of the proposed criteria. (C) 2015 ISA. Published by Elsevier Ltd. All rights reserved.
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