Bilateral boundary finite-time stabilization of 2 × 2 linear first-order hyperbolic systems with spatially varying coefficients

Bilateral boundary finite-time stabilization of 2 × 2 linear first-order hyperbolic systems with spatially varying coefficients | 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 Search Search ADVANCED SEARCH SCROLL Mathematical Methods in the Applied Sciences This is a preprint and has not been peer reviewed. Data may be preliminary. 17 February 2025 V1 Latest version Share on Bilateral boundary finite-time stabilization of 2 × 2 linear first-order hyperbolic systems with spatially varying coefficients Authors : Wei Sun 0009-0002-5027-8839 , Jing Li 0000-0003-3668-1162 [email protected] , and Liangyu Xu Authors Info & Affiliations https://doi.org/10.22541/au.173979372.27817164/v1 411 views 201 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This paper presents bilateral control laws for one-dimensional(1-D) linear 2 × 2 hyperbolic first-order systems (with spatially varying coefficients). Bilateral control means there are two actuators at each end of the domain. This situation becomes more complex as the transport velocities are no longer constant, and this extension is nontrivial. By selecting the appropriate backstepping transformation and target system, the infinite-dimensional backstepping method is extended and a full-state feedback control law is given that ensures the closed-loop system converges to its zero equilibrium in finite time. The design of bilateral controllers enables a potential for fault-tolerant designs. Supplementary Material File (wileynjdv5_ama.pdf) Download 467.10 KB Information & Authors Information Version history V1 Version 1 17 February 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Collection Mathematical Methods in the Applied Sciences Keywords backstepping bilateral boundary control finite-time convergence first-order linear hyperbolic system Authors Affiliations Wei Sun 0009-0002-5027-8839 Xidian University School of Mathematics and Statistics View all articles by this author Jing Li 0000-0003-3668-1162 [email protected] Xidian University School of Mathematics and Statistics View all articles by this author Liangyu Xu Chaohu University View all articles by this author Metrics & Citations Metrics Article Usage 411 views 201 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Wei Sun, Jing Li, Liangyu Xu. Bilateral boundary finite-time stabilization of 2 × 2 linear first-order hyperbolic systems with spatially varying coefficients. Authorea . 17 February 2025. 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