Piecewise observers of rectangular discrete fuzzy descriptor systems with multiple time-varying delays

Hongbiao  Fan; Jun-E  Feng; Min  Meng

doi:10.3934/jimo.2016.12.1535

Article Contents

2016, Volume 12, Issue 4: 1535-1556. Doi: 10.3934/jimo.2016.12.1535

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Piecewise observers of rectangular discrete fuzzy descriptor systems with multiple time-varying delays

1.
School of Mathematics Sicences, Dezhou University, Dezhou 253600
2.
School of Mathematics, Shandong University, Jinan 250100

Received: November 30, 2014

Revised: September 30, 2015

Published: September 2016

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Abstract

This paper investigates piecewise observer design for rectangular discrete fuzzy descriptor systems with multiple time-varying delays. Via a series of simple transformations, the considered rectangular descriptor plants are converted into standard ones with multiple time-varying delays. Then, two sufficient delay-dependent conditions for existence of piecewise fuzzy observers are derived based on piecewise Lyapunov functions. Finally, two numerical examples are presented to show the effectiveness of the theoretical results.

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Mathematics Subject Classification: Primary: 93C10, 93C55; Secondary: 93B07.

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