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Circuits, Systems, and Signal Processing

, Volume 37, Issue 5, pp 1825–1845 | Cite as

New Lyapunov–Krasovskii Functional for Mixed-Delay-Dependent Stability of Uncertain Linear Neutral Systems

  • Ting Wang
  • Tao Li
  • Guobao Zhang
  • Shumin Fei
Article

Abstract

The robust stability in a class of uncertain linear neutral systems with time-varying delays is studied. Through choosing multiple integral Lyapunov terms and using some novel integral inequalities, a much tighter estimation on derivative of Lyapunov–Krasovskii (L–K) functional is presented and two stability criteria are expressed in terms of linear matrix inequalities, in which those previously ignored information can be considered. In particular, the proposed Lyapunov technique can effectively consider the interconnection between neutral delay and state one. Finally, two numerical examples with comparing results can show the application area and benefits of the proposed conditions.

Keywords

Linear neutral systems Robust stability Multiple integral Lyapunov functional Mixed-delay dependence Partial element equivalent circuit (PEEC) 

Notes

Acknowledgements

This work is supported by National Natural Science Foundation of China (Nos. 61473079, 61473115), Jiangsu Natural Science Foundation (Nos. BK20171419, BK20140836, BK20150888), Natural Science Foundation for Jiangsu’s Universities (No. 15KJB12004), Fundamental Research Fund for Central Universities (Nos. NS2016030, NJ20160024), and Youth Science and Technology Innovation Foundation of Nanjing Forestry University.

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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.School of Information Science and TechnologyNanjing Forestry UniversityNanjingPeople’s Republic of China
  2. 2.School of Automation EngineeringNanjing University of Aeronautics and AstronauticsNanjingPeople’s Republic of China
  3. 3.School of AutomationSoutheast UniversityNanjingPeople’s Republic of China

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