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Journal of Systems Science and Complexity

, Volume 30, Issue 6, pp 1316–1331 | Cite as

Robust exponential stability of switched interval interconnected systems with unbounded delay

  • Huanbin XueEmail author
  • Jiye Zhang
Article

Abstract

In this paper, a class of switched interval interconnected systems with unbounded delay were investigated. On the assumption that the interconnected functions of the systems satisfied the global Lipschitz condition, by using vector Lyapunov methods and M-matrix theory, the integrodifferential inequalities with unbounded delay were constructed. By the stability analysis of the integrodifferential inequalities, the sufficient conditions to ensure the robust exponential stability of the interval interconnected systems were obtained. By using average dwell time approach, conditions for guaranteeing the robust exponential stability of the switched delay interval interconnected systems were derived. Finally, two numerical examples were given to illustrate the correction and effectiveness of the proposed theory.

Keywords

Average dwell time interconnected systems robust stability switching rule unbounded delay 

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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.College of Mathematics and StatisticsHanshan Normal UniversityChaozhouChina
  2. 2.State Key Laboratory of Traction PowerSouthwest Jiaotong UniversityChengduChina

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