Science China Technological Sciences

, Volume 61, Issue 2, pp 299–308 | Cite as

Finite-time stabilization of switched dynamical networks with quantized couplings via quantized controller

Article

Abstract

This paper concerns the stabilization of switched dynamical networks with logarithmic quantization couplings in a settling time. The switching sequence is constrained by hybrid dwell time. Controller is designed by using limited information. Due to the quantization and switching, traditional finite-time analysis methods cannot be utilized directly. By designing multiple Lyapunov functions and constructing comparison systems, a general criterion formulated by matrix inequalities is first given. Then specific conditions in terms of linear matrix inequalities are established by partitioning the dwell time and using convex combination technique. An optimal algorithm is proposed for the estimation of settling time. Numerical simulations are given to verify the effectiveness of the theoretical results.

Keywords

dwell time finite time quantized couplings quantized controller switching 

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Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  • XinSong Yang
    • 1
  • JinDe Cao
    • 2
  • Chen Xu
    • 3
  • JianWen Feng
    • 3
  1. 1.School of Mathematical SciencesChongqing Normal UniversityChongqingChina
  2. 2.School of Mathematics, and Research Center for Complex Systems and Network SciencesSoutheast UniversityNanjingChina
  3. 3.College of Mathematics and StatisticsShenzhen UniversityShenzhenChina

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