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A Generalization of the Cauchy-Schwarz Inequality and Its Application to Stability Analysis of Nonlinear Impulsive Control Systems

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Listed:
  • Yang Peng
  • Jiang Wu
  • Limin Zou
  • Yuming Feng
  • Zhengwen Tu

Abstract

In this paper, we first present a generalization of the Cauchy-Schwarz inequality. As an application of our result, we obtain a new sufficient condition for the stability of a class of nonlinear impulsive control systems. We end up this note with a numerical example which shows the effectiveness of our method.

Suggested Citation

  • Yang Peng & Jiang Wu & Limin Zou & Yuming Feng & Zhengwen Tu, 2019. "A Generalization of the Cauchy-Schwarz Inequality and Its Application to Stability Analysis of Nonlinear Impulsive Control Systems," Complexity, Hindawi, vol. 2019, pages 1-7, March.
    • Handle: RePEc:hin:complx:6048909
    DOI: 10.1155/2019/6048909
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    References listed on IDEAS

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    1. Qi, Guoyuan & Chen, Guanrong & Du, Shengzhi & Chen, Zengqiang & Yuan, Zhuzhi, 2005. "Analysis of a new chaotic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 352(2), pages 295-308.
    2. Zhang, Lan & Yang, Xinsong & Xu, Chen & Feng, Jianwen, 2017. "Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control," Applied Mathematics and Computation, Elsevier, vol. 306(C), pages 22-30.
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