Necessary and sufficient stability and positive stabilization conditions for discrete-time impulsive switched positive linear systems with and without delays under a novel ESPD hybrid signal

Necessary and sufficient stability and positive stabilization conditions for discrete-time impulsive switched positive linear systems with and without delays under a novel ESPD hybrid signal | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 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Data may be preliminary. 24 January 2025 V1 Latest version Share on Necessary and sufficient stability and positive stabilization conditions for discrete-time impulsive switched positive linear systems with and without delays under a novel ESPD hybrid signal Authors : Yang Li 0000-0002-7188-1832 [email protected] , Huiling Yin , Tianping Zhang 0000-0002-7796-7004 , and Bin Li Authors Info & Affiliations https://doi.org/10.22541/au.173768439.96904576/v1 268 views 183 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract In this paper, the stability and positive stabilization issues are addressed for discrete-time impulsive switched positive linear systems (DISPLSs) with a novel extended-sequence-pair-dependent (ESPD) hybrid signal. The combination of some common switching and impulsive signals can be seen as special cases of ESPD hybrid signal, such as the arbitrary (dwell time) switching signal and non-periodic (periodic) impulsive signals. Firstly, several necessary and sufficient stability conditions are given for DISPLSs with ESPD hybrid signal. Secondly, based on the non-conservative stability criteria, several necessary and sufficient positive stabilization conditions are presented. Thirdly, the results are extended to the time-delayed cases. Non-conservative stability and stabilization conditions for DISPLSs with multiple time delays are presented. All the results are given in terms of linear programming (LP). Finally, the advantages of the results over the literature are illustrated within four examples. Supplementary Material File (wileynjd-ama.pdf) Download 1.94 MB Information & Authors Information Version history V1 Version 1 24 January 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Collection International Journal of Robust and Nonlinear Control Keywords discrete-time impulsive switched positive linear systems extended-sequence-pair-dependent stability and stabilization Authors Affiliations Yang Li 0000-0002-7188-1832 [email protected] Yangzhou University College of Information Engineering View all articles by this author Huiling Yin Yangzhou University College of Information Engineering View all articles by this author Tianping Zhang 0000-0002-7796-7004 Yangzhou University College of Information Engineering View all articles by this author Bin Li Yangzhou University College of Information Engineering View all articles by this author Metrics & Citations Metrics Article Usage 268 views 183 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Yang Li, Huiling Yin, Tianping Zhang, et al. Necessary and sufficient stability and positive stabilization conditions for discrete-time impulsive switched positive linear systems with and without delays under a novel ESPD hybrid signal. Authorea . 24 January 2025. DOI: https://doi.org/10.22541/au.173768439.96904576/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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