Stabilization of Acoustic Model with Generalized Positive Definite Kernel

Stabilization of Acoustic Model with Generalized Positive Definite Kernel | 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 ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 16 February 2026 V1 Latest version Share on Stabilization of Acoustic Model with Generalized Positive Definite Kernel Authors : Ze-Hui Dai 0009-0004-2607-7724 , Chan Li 0000-0002-6736-3557 [email protected] , Jia-Yi Li , and Kun-Peng Jin 0000-0002-8357-0580 Authors Info & Affiliations https://doi.org/10.22541/au.177122715.58518333/v1 133 views 93 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This paper investigates the uniform stabilization of semilinear acoustic systems with memory damping, where the kernel function is derived from a generalized positive definite kernel (GPDK). By exploiting the properties of the GPDK and the structure of the acoustic model, we relax the classical requirements of kernel nonnegativity and monotonicity, and establish sufficient conditions for asymptotic, exponential, and polynomial stability. Supplementary Material File (acousticmodel.pdf) Download 137.88 KB Information & Authors Information Version history V1 Version 1 16 February 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords acoustic model generalized positive definite kernels memory damping stabilization Authors Affiliations Ze-Hui Dai 0009-0004-2607-7724 Hangzhou Dianzi University View all articles by this author Chan Li 0000-0002-6736-3557 [email protected] Hangzhou Dianzi University View all articles by this author Jia-Yi Li Hangzhou Dianzi University View all articles by this author Kun-Peng Jin 0000-0002-8357-0580 Nanning Normal University View all articles by this author Metrics & Citations Metrics Article Usage 133 views 93 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Ze-Hui Dai, Chan Li, Jia-Yi Li, et al. Stabilization of Acoustic Model with Generalized Positive Definite Kernel. Authorea . 16 February 2026. DOI: https://doi.org/10.22541/au.177122715.58518333/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 . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. 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