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Journal of Systems Science and Complexity

, Volume 26, Issue 6, pp 925–939 | Cite as

Global input-to-state stabilization with quantized feedback for discrete-time piecewise affine systems with time delays

  • Xiaowu MuEmail author
  • Yang Gao
Article

Abstract

In this paper, global input-to-state stabilization with quantized feedback for discrete-time piecewise affine systems (PWA) with time delays are considered. Both feedback with time delays and feedback without time delays are considered. Piecewise quadratic ISS-Lyapunov functions are adopted. Both Lyapunov-Razumikhin and Lyapunov-Krasovskii methods are adopted. The theorems for global input-to-state stabilization with quantized feedback of discrete PWA systems with time delays are shown.

Key words

Discrete systems input-to-state stability piecewise affine systems quantized feedback stabilization 

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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of MathematicsZhengzhou UniversityZhengzhouChina
  2. 2.Graduate School of Beijing UniversityBeijingChina
  3. 3.Department of MathematicsDaqing Normal UniversityDaqingChina
  4. 4.Graduate School of the Harbin Institute of TechnologyHarbinChina

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