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New Delay-Dependent Stability Criteria for Uncertain Neutral System with Time-Varying Delays and Nonlinear Perturbations

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Abstract

This study is concerned with the problem of robust stability analysis of uncertain neutral system with time-varying delays and nonlinear perturbations. The parameter uncertainties are modeled as a structured linear fractional form. By choosing an augmented novel Lyapunov–Krasovskii functional which contains some triple integral terms and using the lower bound lemma to handle the integral terms, less conservative criteria are obtained. Moreover, the rigorous constraint that the derivatives of time-varying delays must be less than one has been removed. Finally, numerical examples are presented to illustrate the effectiveness of the theoretical results.

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Acknowledgments

This research is supported by the National Basic Research Program of China (2010CB732501), the Fundamental Research Funds for the Central Universities (ZYGX2012YB032), and the Scholarship Award for Excellent Doctoral Student granted by Ministry of Education (A0300302390 1010).

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Authors and Affiliations

  1. School of Sciences, Tianjin Polytechnic University, Tianjin , 300130, People’s Republic of China

    Wenqin Wang

  2. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu , 611731, Sichuan, People’s Republic of China

    Wenqin Wang & Shouming Zhong

  3. The Department of Electrical and Computer Engineering, The University of Auckland, Private Bag, Auckland , 92019, New Zealand

    Sing Kiong Nguang

  4. Key Laboratory for Neuroinformation of Ministry of Education, University of Electronic Science and Technology of China, Chengdu , 611731, Sichuan, People’s Republic of China

    Shouming Zhong & Feng Liu

  5. School of Life Sciences and Technology, University of Electronic Science and Technology of China, Chengdu , 611731, Sichuan, People’s Republic of China

    Feng Liu

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  1. Wenqin Wang
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  2. Sing Kiong Nguang
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Correspondence to Wenqin Wang.

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Wang, W., Nguang, S.K., Zhong, S. et al. New Delay-Dependent Stability Criteria for Uncertain Neutral System with Time-Varying Delays and Nonlinear Perturbations. Circuits Syst Signal Process 33, 2719–2740 (2014). https://doi.org/10.1007/s00034-014-9770-0

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  • DOI: https://doi.org/10.1007/s00034-014-9770-0

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