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Book Sections Year : 2019

Stability Analysis of Uniformly Distributed Delay Systems: A Frequency-Sweeping Approach

Abstract

This chapter addresses the stability of a class of systems including uniformly distributed delays. Compared with the existing results for systems with point-wise constant delays, this problem involves three new technical issues. In this chapter, these technical issues will be solved mainly within the frequency-sweeping framework which was recently established for systems with point-wise delays. As a consequence, the stability in the whole domain of delay can be studied. Moreover, a unified approach will be proposed: Most of the steps required by the problem can be fulfilled by simply observing the frequency-sweeping curves.
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hal-02350765 , version 1 (06-11-2019)

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Xu-Guang Li, Silviu-Iulian Niculescu, Arben Cela, Lu Zhang. Stability Analysis of Uniformly Distributed Delay Systems: A Frequency-Sweeping Approach. Giorgio Valmorbida; Islam Boussaada; Alexandre Seuret; Rifat Sipahi. Delays and Interconnections: Methodology, Algorithms and Applications, 10, Springer, pp.117-130, 2019, Part of the Advances in Delays and Dynamics book series (ADVSDD), 978-3-030-11554-8. ⟨10.1007/978-3-030-11554-8_8⟩. ⟨hal-02350765⟩
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