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Free, publicly-accessible full text available January 1, 2023
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Systems composed of large ensembles of isolated or interacted dynamic units are prevalent in nature and engineered infrastructures. Linear ensemble systems are inarguably the simplest class of ensemble systems and have attracted intensive attention to control theorists and practionars in the past years. Comprehensive understanding of dynamic properties of such systems yet remains far-fetched and requires considerable knowledge and techniques beyond the reach of modern control theory. In this paper, we explore the classes of linear ensemble systems with system matrices that are not globally diagonalizable. In particular, we focus on analyzing their controllability properties under a Sobolev space settingmore »Free, publicly-accessible full text available December 1, 2022
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Free, publicly-accessible full text available October 1, 2022
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Free, publicly-accessible full text available September 1, 2022
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Free, publicly-accessible full text available July 1, 2022
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Free, publicly-accessible full text available June 1, 2022