{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T18:56:40Z","timestamp":1773341800563,"version":"3.50.1"},"reference-count":26,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T00:00:00Z","timestamp":1773273600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62263005"],"award-info":[{"award-number":["62263005"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Key Laboratory of AI and Information Processing"},{"DOI":"10.13039\/501100011823","name":"Education Department of Guangxi Zhuang Autonomous Region","doi-asserted-by":"publisher","award":["2022GXZDSY004"],"award-info":[{"award-number":["2022GXZDSY004"]}],"id":[{"id":"10.13039\/501100011823","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100011823","name":"Education Department of Guangxi Zhuang Autonomous Region","doi-asserted-by":"publisher","award":["2024GXZDSY013"],"award-info":[{"award-number":["2024GXZDSY013"]}],"id":[{"id":"10.13039\/501100011823","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Innovation Project of Guangxi Graduate Education","award":["YCBZ2025152"],"award-info":[{"award-number":["YCBZ2025152"]}]},{"name":"Innovation Project of GUET Graduate Education","award":["2025YCXS138"],"award-info":[{"award-number":["2025YCXS138"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>This paper investigates the asynchronous non-fragile H\u221e control problem for a class of Markovian jump singularly perturbed systems (MJSPSs) with time-varying delays. By applying a multi-layer structure method, a non-fragile controller with time delay is designed for the MJSPSs to adapt to disturbances caused by nonstationary quantization and DoS attacks. To model the asynchronous dynamics between the system and the controller mode, an independent Markov chain is employed to capture the asynchronous quantization and control behavior. By constructing mode-dependent Lyapunov\u2013Krasovskii functions, sufficient conditions are derived to ensure stochastic finite-time exponential stability and H\u221e performance under conditions of delay, singular disturbances, and quantization uncertainty. The effectiveness of the method is validated using an inverted pendulum system controlled by a DC motor, demonstrating its ability to achieve robust stability and performance in bandwidth-constrained network environments.<\/jats:p>","DOI":"10.3390\/e28030317","type":"journal-article","created":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T09:23:03Z","timestamp":1773307383000},"page":"317","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Asynchronous Non-Fragile H\u221e Control for Time-Delay Markovian Jump Singularly Perturbed Systems with Variable Quantization Density and DoS Attack"],"prefix":"10.3390","volume":"28","author":[{"given":"Yong","family":"Qin","sequence":"first","affiliation":[{"name":"School of Artificial Intelligence and Manufacturing, Hechi University, Hechi 546300, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiru","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin 541004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haolin","family":"Xiao","sequence":"additional","affiliation":[{"name":"School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin 541004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lihong","family":"Huang","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, Changsha University, Changsha 410022, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-5388-9657","authenticated-orcid":false,"given":"Yi","family":"Lu","sequence":"additional","affiliation":[{"name":"School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin 541004, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2026,3,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3086","DOI":"10.1109\/TASE.2024.3389020","article-title":"ADP-based prescribed-time control for nonlinear time-varying delay systems with uncertain parameters","volume":"22","author":"Zhang","year":"2024","journal-title":"IEEE Trans. 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