{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T03:37:28Z","timestamp":1761709048912,"version":"build-2065373602"},"reference-count":26,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2015,1,14]],"date-time":"2015-01-14T00:00:00Z","timestamp":1421193600000},"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":["61174142,61222310,61374021"],"award-info":[{"award-number":["61174142,61222310,61374021"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Zhejiang Provincial Natural Science Foundation of China Foundation of China","award":["LZ14F030002"],"award-info":[{"award-number":["LZ14F030002"]}]},{"name":"Specialized Research Fund for the Doctoral Program of Higher Education of China (SRFDP)","award":["20120101110115, 0130101110109"],"award-info":[{"award-number":["20120101110115, 0130101110109"]}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["2014XZZX003-12"],"award-info":[{"award-number":["2014XZZX003-12"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"name":"ASFC","award":["20132076002"],"award-info":[{"award-number":["20132076002"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>This paper is concerned with the robust H\u221e finite-time control for discrete delayed nonlinear systems with Markovian jumps and external disturbances. It is usually assumed that the disturbance affects the system states and outputs with the same influence degree of 100%, which is not evident enough to reflect the situation where the disturbance affects these two parts by different influence degrees. To tackle this problem, a probabilistic distribution denoted by binomial sequences is introduced to describe the external disturbance. Throughout the paper, the definitions of the finite-time boundedness (FTB) and the H\u221e FTB are firstly given respectively. To extend the results further, a model which combines a linear dynamic system and a static nonlinear operator is referred to describe the system under discussion. Then by virtue of state feedback control method, some new sufficient criteria are derived which guarantee the FTB and H\u221e FTB performances for the considered system. Finally, an example is provided to demonstrate the effectiveness of the developed control laws.<\/jats:p>","DOI":"10.3390\/e17010346","type":"journal-article","created":{"date-parts":[[2015,1,14]],"date-time":"2015-01-14T10:33:15Z","timestamp":1421231595000},"page":"346-367","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Robust H\u221e Finite-Time Control for Discrete Markovian Jump Systems with Disturbances of Probabilistic Distributions"],"prefix":"10.3390","volume":"17","author":[{"given":"Haiyang","family":"Chen","sequence":"first","affiliation":[{"name":"State Key Laboratory of Industrial Control Technology, Zhejiang University, No. 38 Zheda Road, Hangzhou 310027, China"},{"name":"College of Electrical Engineering, Zhejiang University, No. 38 Zheda Road, Hangzhou 310027, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0693-6574","authenticated-orcid":false,"given":"Meiqin","family":"Liu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Industrial Control Technology, Zhejiang University, No. 38 Zheda Road, Hangzhou 310027, China"},{"name":"College of Electrical Engineering, Zhejiang University, No. 38 Zheda Road, Hangzhou 310027, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Senlin","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Electrical Engineering, Zhejiang University, No. 38 Zheda Road, Hangzhou 310027, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2015,1,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"885","DOI":"10.1016\/j.nahs.2012.03.001","article-title":"Delay-dependent observer-based H\u221e finite-time control for switched systems with time-varying delay","volume":"6","author":"Liu","year":"2012","journal-title":"Nonlinear Anal-Hybri."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"911","DOI":"10.1016\/j.jfranklin.2013.01.018","article-title":"Finite-time boundedness and finite-time l2 gain analysis for switched systems with time-varying delay","volume":"350","author":"Lin","year":"2014","journal-title":"J. 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