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Stability analysis for a class of neutral type singular systems with time-varying delay

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  • Long, Shaohua
  • Wu, Yunlong
  • Zhong, Shouming
  • Zhang, Dian

Abstract

This paper is concerned with the stability problem for a class of neutral type singular systems with time-varying delay. The considered systems contain delays both in their state and in their derivatives of state. Based on the singular system approach and the Lyapunov–Krasovskii functional approach, some sufficient conditions which guarantee the considered systems to be regular, impulse-free and stable are derived. Finally, some numerical examples are provided to show the effectiveness of the presented methods.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:339:y:2018:i:c:p:113-131
    DOI: 10.1016/j.amc.2018.06.058
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    References listed on IDEAS

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    1. Wang, Jing & Liang, Kun & Huang, Xia & Wang, Zhen & Shen, Hao, 2018. "Dissipative fault-tolerant control for nonlinear singular perturbed systems with Markov jumping parameters based on slow state feedback," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 247-262.
    2. Liang, Kun & Dai, Mingcheng & Shen, Hao & Wang, Jing & Wang, Zhen & Chen, Bo, 2018. "L2−L∞ synchronization for singularly perturbed complex networks with semi-Markov jump topology," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 450-462.
    3. Shi, Kaibo & Liu, Xinzhi & Zhu, Hong & Zhong, Shouming & Zeng, Yong & Yin, Chun, 2016. "Novel delay-dependent master-slave synchronization criteria of chaotic Lur’e systems with time-varying-delay feedback control," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 137-154.
    4. Yonggui Kao & Changhong Wang & Jing Xie & Hamid Reza Karimi, 2016. "New delay-dependent stability of Markovian jump neutral stochastic systems with general unknown transition rates," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(11), pages 2499-2509, August.
    5. Zhou, Jianping & Park, Ju H. & Ma, Qian, 2016. "Non-fragile observer-based H∞ control for stochastic time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 69-83.
    6. Feng, Zhiguang & Li, Wenxing & Lam, James, 2015. "New admissibility analysis for discrete singular systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 1058-1066.
    7. Gao, Ming & Sheng, Li & Zhang, Weihai, 2015. "Stochastic H2/H∞ control of nonlinear systems with time-delay and state-dependent noise," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 429-440.
    8. 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.
    9. Guo, Runan & Zhang, Ziye & Liu, Xiaoping & Lin, Chong, 2017. "Existence, uniqueness, and exponential stability analysis for complex-valued memristor-based BAM neural networks with time delays," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 100-117.
    10. Wang, Bo & Yan, Juan & Cheng, Jun & Zhong, Shouming, 2017. "New criteria of stability analysis for generalized neural networks subject to time-varying delayed signals," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 322-333.
    11. 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.
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    Cited by:

    1. 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).
    2. 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).

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