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Design of Filter for a Class of Switched Linear Neutral Systems

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  • Caiyun Wu
  • Yue-E. Wang

Abstract

This paper is concerned with the filtering problem for a class of switched linear neutral systems with time-varying delays. The time-varying delays appear not only in the state but also in the state derivatives. Based on the average dwell time approach and the piecewise Lyapunov functional technique, sufficient conditions are proposed for the exponential stability of the filtering error dynamic system. Then, the corresponding solvability condition for a desired filter satisfying a weighted performance is established. All the conditions obtained are delay-dependent. Finally, two numerical examples are given to illustrate the effectiveness of the proposed theory.

Suggested Citation

  • Caiyun Wu & Yue-E. Wang, 2013. "Design of Filter for a Class of Switched Linear Neutral Systems," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, October.
  • Handle: RePEc:hin:jnlmpe:537249
    DOI: 10.1155/2013/537249
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