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Delay-dependent robust absolute stability of uncertain Lurie singular systems with neutral type and time-varying delays

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Abstract

This paper is concerned with the robust absolute stability analysis for Lurie control of the neutral singular systems. By using Lyapunov–Krasovskii function method, delay dependent criteria for absolute stability of system are derived in terms of Linear Matrix Inequality. The difference between this paper and other existing results is that the lower bounds and upper bounds of discrete-delay are considered, which will obtain some less conservative stability analysis results. Finally, some numerical examples are presented to illustrate the effectiveness of the method.

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Acknowledgements

This paper was supported by the National Natural Science Foundation of China, under Grant Number 61273004 and Natural Science Foundation of Hebei Province, under Number F2014203085. The authors would like to thank the editor and anonymous reviewers for their many helpful comments and suggestions to improve the quality of this paper.

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Authors and Affiliations

  1. College of science, Yanshan University, Qinhuangdao, 066004, Hebei, People’s Republic of China

    Yuechao Ma & Pingjing Yang

  2. College of Science, Northeastern University, Shenyang, 110004, Liaoning, People’s Republic of China

    Qingling Zhang

Authors
  1. Yuechao Ma
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  2. Pingjing Yang
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  3. Qingling Zhang
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Correspondence to Pingjing Yang.

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Ma, Y., Yang, P. & Zhang, Q. Delay-dependent robust absolute stability of uncertain Lurie singular systems with neutral type and time-varying delays. Int. J. Mach. Learn. & Cyber. 9, 2071–2080 (2018). https://doi.org/10.1007/s13042-017-0689-1

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