Abstract
The issue on robust stability for a class of uncertain linear neutral systems with time-varying delays is studied. Together with multiple integral functional technique and using some novel integral inequalities, the much tighter estimation on derivative of Lyapunov functional is presented and one stability criterion is presented in terms of linear matrix inequalities (LMIs), in which those previously ignored information can be reconsidered. Especially, the multiple Lyapunov functional terms include the interconnection between neutral delay and state one. Finally, some comparing results with application to partial element circuit model can show the benefits of our conditions.
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Acknowledgements
This work is supported by National Natural Science Foundation of China (Nos. 61403194, 61473079), Jiangsu Natural Science Foundation (Nos. BK20140836, BK20150888), Natural Science Foundation for Universities in Jiangsu Province (No. 15KJB12004), and Fundamental Research Fund for Central Universities (Nos. NS2016030, NJ20160024).
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Li, T., Wang, T., Deng, J., Zhang, L. (2017). New Delay-Dependent Stability for Neutral Systems with Its Application to Partial Circuit Model. In: Sun, X., Chao, HC., You, X., Bertino, E. (eds) Cloud Computing and Security. ICCCS 2017. Lecture Notes in Computer Science(), vol 10603. Springer, Cham. https://doi.org/10.1007/978-3-319-68542-7_66
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DOI: https://doi.org/10.1007/978-3-319-68542-7_66
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