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Stability of neutral type descriptor system with mixed delays

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  • Li, Hong
  • Li, Hou-biao
  • Zhong, Shou-ming

Abstract

In this paper, the stability problems of general neutral type descriptor system with mixed delays are considered. Some new delay-independent stability and robust stability criteria, which are simpler and less conservative than existing results, are derived in terms of the stability of a new operator I and linear matrix inequalities (LMIs). Therefore, criteria can be easily checked by utilizing the Matlab LMI toolbox.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:5:p:1796-1800
    DOI: 10.1016/j.chaos.2006.03.055
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    Cited by:

    1. Qiu, Fang & Cui, Baotong & Ji, Yan, 2009. "Novel robust stability analysis for uncertain neutral system with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1820-1828.
    2. 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).
    3. Chen, Wenbin & Lu, Junwei & Zhuang, Guangming & Gao, Fang & Zhang, Zhengqiang & Xu, Shengyuan, 2022. "Further results on stabilization for neutral singular Markovian jump systems with mixed interval time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 420(C).
    4. Long, Shaohua & Zhang, Yu & Zhong, Shouming, 2024. "New results on the stability and stabilization for singular neutral systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 473(C).
    5. Tian, Junkang & Xiong, Lianglin & Liu, Jianxing & Xie, Xiangjun, 2009. "Novel delay-dependent robust stability criteria for uncertain neutral systems with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1858-1866.
    6. Xiong, Lianglin & Zhong, Shouming & Tian, Junkang, 2009. "New robust stability condition for uncertain neutral systems with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1073-1079.
    7. 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.
    8. Li, Boren, 2015. "A further note on stability criteria for uncertain neutral systems with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 72-83.
    9. Bolat, Yaşar, 2009. "Oscillation of higher order neutral type nonlinear difference equations with forcing terms," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2973-2980.
    10. 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.
    11. Xiong, Lianglin & Zhong, Shouming & Tian, Junkang, 2009. "Novel robust stability criteria of uncertain neutral systems with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 771-777.
    12. Karimi, Hamid Reza & Zapateiro, Mauricio & Luo, Ningsu, 2009. "Stability analysis and control synthesis of neutral systems with time-varying delays and nonlinear uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 595-603.

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