{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T17:56:27Z","timestamp":1754157387176,"version":"3.41.2"},"reference-count":12,"publisher":"Emerald","issue":"1","license":[{"start":{"date-parts":[[2011,1,28]],"date-time":"2011-01-28T00:00:00Z","timestamp":1296172800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2011,1,28]]},"abstract":"<jats:sec><jats:title content-type=\"abstract-heading\">Purpose<\/jats:title><jats:p>The purpose of this paper is to obtain the criteria of p\u2010moment exponential robust stability for a class of grey neutral stochastic delay systems.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Design\/methodology\/approach<\/jats:title><jats:p>By constructing a Lyapunov\u2010Krasovskii functional and employing the decomposition technique of continuous matrix\u2010covered sets of grey matrix and using three key inequalities, the paper investigates the p\u2010moment exponential robust stability for a class of grey neutral stochastic delay systems. A numeric example is given to demonstrate the effectiveness of the criteria presented in the paper.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>The results not only can be used to judge the p\u2010moment exponential robust stability of the systems researched in the paper, but also can be applied in the stability analysis of grey non\u2010neutral stochastic systems.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Practical implications<\/jats:title><jats:p>The method exposed in the paper can be used in the analysis and designation of practical stochastic control systems.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>The paper succeeds in obtaining the criteria of p\u2010moment exponential robust stability for grey neutral stochastic delay systems by constructing a Lyapunov\u2010Krasovskii functional and employing the decomposition technique of continuous matrix\u2010covered sets of grey matrix and using three key inequalities.<\/jats:p><\/jats:sec>","DOI":"10.1108\/20439371111106740","type":"journal-article","created":{"date-parts":[[2011,1,22]],"date-time":"2011-01-22T07:25:21Z","timestamp":1295681121000},"page":"72-86","source":"Crossref","is-referenced-by-count":1,"title":["p\u2010Moment exponential robust stability of grey neutral stochastic delay systems"],"prefix":"10.1108","volume":"1","author":[{"given":"Chunhua","family":"Su","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"140","reference":[{"key":"key2022021420303151100_b1","doi-asserted-by":"crossref","unstructured":"Chen, W\u2010H., Guan, Z\u2010H. and Lu, X\u2010M. (2005), \u201cDelay\u2010dependent exponential stability of uncertain stochastic systems with multiple delays: an LMI approach\u201d, Systems Control Letter, Vol. 54, pp. 547\u201055.","DOI":"10.1016\/j.sysconle.2004.10.005"},{"key":"key2022021420303151100_b2","unstructured":"Hui, J\u2010M., Shen, Y. and Liao, X\u2010X. (2005), \u201cAsymptotic stability of neutral stochastic differential delay systems\u201d, Journal of Huazhong University of Science and Technology, Vol. 33 No. 11, pp. 71\u20103."},{"key":"key2022021420303151100_b3","doi-asserted-by":"crossref","unstructured":"Jiang, M\u2010H., Shen, Y. and Liao, X\u2010X. (2007), \u201cRobust stability of uncertain neutral linear stochastic differential delay systems\u201d, Applied Mathematics and Mechanics, Vol. 28 No. 6, pp. 741\u20108.","DOI":"10.1007\/s10483-007-0613-x"},{"key":"key2022021420303151100_b4","doi-asserted-by":"crossref","unstructured":"Kolmanovskii, V.B. and Myshkis, A. (1992), Applied Theory of Functional Differential Equations, Kluwer Academic Publishers, Dordrecht.","DOI":"10.1007\/978-94-015-8084-7"},{"key":"key2022021420303151100_b5","unstructured":"Kolmanovskii, V.B. and Nosov, V.R. (1986), Stability of Functional Differential Equations, Academic Press, New York, NY."},{"key":"key2022021420303151100_b6","unstructured":"Mao, X. (1994), Exponential Stability of Stochastic Differential Equations, Marcel Dekker, New York, NY."},{"key":"key2022021420303151100_b7","doi-asserted-by":"crossref","unstructured":"Mao, X. (1995), \u201cExponential stability in mean square of neutral stochastic differential functional equations\u201d, Systems and Control Letters, Vol. 26, pp. 245\u201051.","DOI":"10.1016\/0167-6911(95)00018-5"},{"key":"key2022021420303151100_b8","doi-asserted-by":"crossref","unstructured":"Mao, X. (1997a), \u201cRazumikhin type theorem on exponential stability of neutral stochastic functional differential equations\u201d, SIAM Journal on Mathematical Analysis, Vol. 28 No. 2, pp. 389\u2010401.","DOI":"10.1137\/S0036141095290835"},{"key":"key2022021420303151100_b9","unstructured":"Mao, X. (1997b), Stochastic Differential Equations and Their Applications, Horwood, London."},{"key":"key2022021420303151100_b10","doi-asserted-by":"crossref","unstructured":"Randjelovi\u010d, J. and Jankovi\u010d, S. (2007), \u201cOn the pth moment exponential stability criteria of neutral stochastic functional differential equations\u201d, Journal of Mathematical Analysis and Applications, Vol. 326 No. 1, pp. 266\u201080.","DOI":"10.1016\/j.jmaa.2006.02.030"},{"key":"key2022021420303151100_b11","unstructured":"Su, C\u2010H. and Liu, S\u2010F. (2009), \u201cp\u2010Moment exponential robust stability for a class of interval stochastic distributed delay systems\u201d, Mathematica Applicata, Vol. 22 No. 2, pp. 413\u201020."},{"key":"key2022021420303151100_frd1","unstructured":"Su, C\u2010H. and Liu, S\u2010F. (2008), \u201cRobust stability of grey neutral time\u2010delay systems\u201d, Acta Mathematicae Applicatae Sinica, Vol. 31 No. 3, pp. 520\u20107."}],"container-title":["Grey Systems: Theory and Application"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.emeraldinsight.com\/doi\/full-xml\/10.1108\/20439371111106740","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/20439371111106740\/full\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/20439371111106740\/full\/html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T23:52:32Z","timestamp":1753401152000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.emerald.com\/gs\/article\/1\/1\/72-86\/221270"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,1,28]]},"references-count":12,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,1,28]]}},"alternative-id":["10.1108\/20439371111106740"],"URL":"https:\/\/doi.org\/10.1108\/20439371111106740","relation":{},"ISSN":["2043-9377"],"issn-type":[{"type":"print","value":"2043-9377"}],"subject":[],"published":{"date-parts":[[2011,1,28]]}}}