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\((c_1,c_1)\) Stability of a Class of Neutral Differential Equations with Time-Varying Delay

  • Shuli Guo
  • Lina Han
Chapter

Abstract

In the chapter, the notions of \((\omega ,\varOmega )\) stable and \((\omega ,\varOmega )\) asymptotically stable, especially \((c_1,c_1)\) stable and \((c_1,c_1)\) asymptotically stable, are presented. Several sufficient conditions on about \((c_1,c_1)\) stable and \((c_1,c_1)\) asymptotically stable of time-varying delay neutral differential equations are established by the proposed integral inequalities. The above sufficient conditions may similarly be generalized to the above time-varying delay neutral differential equations. Finally, a complex numerical example is presented to illustrate the main result effectively.

Notes

Acknowledgements

This work is Supported by National Key Research and Development Program of China (2017YFF0207400).

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Key Laboratory of Complex System Intelligent Control and Decision, School of AutomationBeijing Institute of TechnologyBeijingChina
  2. 2.Department of Cardiovascular Internal Medicine of Nanlou Branch, National Clinical Research Center for Geriatric DiseasesChinese PLA General HospitalBeijingChina

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