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Further results on delay-dependent stability for neutral singular systems via state decomposition method

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  • Chen, Wenbin
  • Gao, Fang
  • She, Jinhua
  • Xia, Weifeng

Abstract

This paper studies the delay-dependent stability for neutral singular systems. In the light of state decomposition method, a novel augmented Lyapunov-Krasovskii functional including less decision variables is developed. Then by means of zero-value equations technology, some sufficient stability conditions in the form of linear matrix inequalities are acquired, which guarantees the non-impulsiveness, regularity and stability for the proposed neutral singular systems. The obtained stability criterion takes the sizes of both the discrete- and neutral- delays into account. They are less conservative than those presented by previous analytical approaches. Numerical examples are given to show the feasibility of our method and the interrelation between the discrete- and neutral- delays.

Suggested Citation

  • Chen, Wenbin & Gao, Fang & She, Jinhua & Xia, Weifeng, 2020. "Further results on delay-dependent stability for neutral singular systems via state decomposition method," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    • Handle: RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920308018
    DOI: 10.1016/j.chaos.2020.110408
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    References listed on IDEAS

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    1. Fangzheng Gao & Yuqiang Wu & Xin Yu, 2016. "Global state feedback stabilisation of stochastic high-order nonlinear systems with high-order and low-order nonlinearities," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3846-3856, December.
    2. Jichun Wang & Qingling Zhang & Dong Xiao & Fang Bai, 2016. "Robust stability analysis and stabilisation of uncertain neutral singular systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3762-3771, December.
    3. Yang, Zhen-Hang & Chu, Yu-Ming & Zhang, Wen, 2019. "High accuracy asymptotic bounds for the complete elliptic integral of the second kind," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 552-564.
    4. Wenbin Chen & Fang Gao, 2019. "Stability analysis of systems via a new double free-matrix-based integral inequality with interval time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(14), pages 2663-2672, October.
    5. Weimin Chen & Qian Ma & Lanning Wang & Huiling Xu, 2018. "Stabilisation and control of neutral stochastic delay Markovian jump systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(1), pages 58-67, January.
    6. Long, Shaohua & Wu, Yunlong & Zhong, Shouming & Zhang, Dian, 2018. "Stability analysis for a class of neutral type singular systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 113-131.
    7. Li, Hong & Li, Hou-biao & Zhong, Shou-ming, 2007. "Stability of neutral type descriptor system with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1796-1800.
    8. S. Xu & J. Lam & P. Shi & E. K. Boukas & Y. Zou, 2009. "Guaranteed Cost Control for Uncertain Neutral Stochastic Systems via Dynamic Output Feedback Controllers," Journal of Optimization Theory and Applications, Springer, vol. 143(1), pages 207-223, October.
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    Cited by:

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