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Improved exponential stability criteria for uncertain neutral system with nonlinear parameter perturbations

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Abstract

This paper investigates the problem of robust exponential stability for neutral systems with time-varying delays and nonlinear perturbations. Based on a novel Lyapunov functional approach and linear matrix inequality technique, a new delay-dependent stability condition is derived. Since the model transformation and bounding techniques for cross terms are avoided, the criteria proposed in this paper are less conservative than some previous approaches by using the free-weighting matrices. One numerical example is presented to illustrate the effectiveness of the proposed results.

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Authors and Affiliations

  1. Department of Mathematics and Information Science, Binzhou University, Binzhou, 256603, PRC

    Fang Qiu

  2. College of Communications and Control Engineering, Jiangnan University, Wuxi, 214122, PRC

    Bao-Tong Cui

Authors
  1. Fang Qiu
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  2. Bao-Tong Cui
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Corresponding author

Correspondence to Fang Qiu.

Additional information

This work was supported by Natural Science Foundation of Jiangsu Province of China (No.BK2007016) and Scientific Research and Development Program of the Higher Education Institutions of Shandong Province of China (No. J09LG58).

Fang Qiu received the M. Sc. degree in applied mathematics from Peking University, PRC in 2002. She is now a Ph.D. candidate at College of Communications and Control Engineering, Jiangnan University, PRC. She is also an associate professor in Department of Mathematics and Information at Binzhou University, Shandong, PRC.

Her research interests include neural networks, time-delay systems, and stability theory.

Bao-Tong Cui received the Ph.D. degree in control theory and control engineering from the College of Automation Science and Engineering, South China University of Technology, PRC in July 2003. He was a post-doctoral fellow at Shanghai Jiao Tong University, PRC from July 2003 to September 2005, and a visiting scholar in Department of Electrical and Computer Engineering, National University of Singapore, Singapore from August 2007 to February 2008. He became an associate professor in December 1993 and a full professor in November 1995 in Department of Mathematics, Binzhou University, Shandong, PRC. He joined the College of Communication and Control Engineering, Jiangnan University, PRC in June 2003, where he is a full professor for the College of Communication and Control Engineering.

His research interests include systems analysis, stability theory, impulsive control, artificial neural networks, and chaos synchronisation.

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Qiu, F., Cui, BT. Improved exponential stability criteria for uncertain neutral system with nonlinear parameter perturbations. Int. J. Autom. Comput. 7, 413–418 (2010). https://doi.org/10.1007/s11633-010-0522-8

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  • DOI: https://doi.org/10.1007/s11633-010-0522-8

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