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Stability analysis of time-delay systems via free-matrix-based double integral inequality

Author

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  • Changchun Hua
  • Shuangshuang Wu
  • Xian Yang
  • Xinping Guan

Abstract

Based on the free-weighting matrix and integral-inequality methods, a free-matrix-based double integral inequality is proposed in this paper, which includes the Wirtinger-based double integral inequality as a special case. By introducing some free matrices into the inequality, more freedom can be provided in bounding the quadratic double integral. The connection of the new integral inequality and Wirtinger-based double one is well described, which gives a sufficient condition for the application of the new inequality to be less conservative. Furthermore, to investigate the effectiveness of the proposed inequality, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities. Numerical examples are given to demonstrate the advantages of the proposed method.

Suggested Citation

  • Changchun Hua & Shuangshuang Wu & Xian Yang & Xinping Guan, 2017. "Stability analysis of time-delay systems via free-matrix-based double integral inequality," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(2), pages 257-263, January.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:257-263
    DOI: 10.1080/00207721.2016.1177132
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    Cited by:

    1. Zhang, Zhi-Ming & He, Yong & Wu, Min & Wang, Qing-Guo, 2017. "Exponential synchronization of chaotic neural networks with time-varying delay via intermittent output feedback approach," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 121-132.
    2. Mohamed Karim Bouafoura & Naceur Benhadj Braiek, 2019. "Hybrid Functions Direct Approach and State Feedback Optimal Solutions for a Class of Nonlinear Polynomial Time Delay Systems," Complexity, Hindawi, vol. 2019, pages 1-14, April.
    3. Chen, Chuan & Li, Lixiang & Peng, Haipeng & Yang, Yixian & Mi, Ling & Qiu, Baolin, 2019. "Fixed-time projective synchronization of memristive neural networks with discrete delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).

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