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• W2045118112 abstract "This paper investigates the £ <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>1</sub> -gain observation problem for discrete-time switched positive linear systems with time-varying delay. An extended Luenberger positive observer is designed to efficiently estimate the nonnegative states of the underlying system. First, we analyze the stability with £ <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>1</sub> -gain of the associated error system with average dwell time switching under the positivity assumption by means of a piecewise linear copositive Lyapunov-Krasovskii functional. Then, based on the obtained result, we propose a sufficient condition, which guarantees that not only the designed observer is positive but also the error system is globally uniformly exponentially stable with a weighted £ <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>1</sub> -gain bound for a class of switching signals with average dwell time (ADT) greater than a certain positive constant. The derived condition is formulated as a set of linear inequalities, by solving which the desired observer gain matrices and the corresponding minimal ADT are easily gotten resorting to existing linear programming toolboxes. Finally, a numerical example is given to illustrate the effectiveness of the presented approach." @default.
• W2045118112 created "2016-06-24" @default.
• W2045118112 creator A5067337440 @default.
• W2045118112 creator A5067926222 @default.
• W2045118112 date "2013-06-01" @default.
• W2045118112 modified "2023-09-27" @default.
• W2045118112 title "Weighted &#x2112;<inf>1</inf>-gain observers for discrete-time switched positive linear systems with time-varying delay" @default.
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• W2045118112 doi "https://doi.org/10.1109/iciea.2013.6566357" @default.
• W2045118112 hasPublicationYear "2013" @default.
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