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By using reduction order and boundary layer techniques, it is shown that the norm of the operator of the perturbed system is less than a given number $\\gamma$ when the small perturbation $\\varepsilon$ tends to zero if both the related norms of the reduced subsystem and the boundary layer subsystem are less than $\\gamma$. Furthermore, a stabilizing robust controller is designed, which is independent of perturbation $\\varepsilon$.<\/jats:p>","DOI":"10.1137\/s0363012900369447","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"141-163","source":"Crossref","is-referenced-by-count":13,"title":["Asymptotic Properties of Input-Output Operators Norm Associated with Singularly Perturbed Systems with Multiplicative White Noise"],"prefix":"10.1137","volume":"41","author":[{"given":"Vasile","family":"Dragan","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Toader","family":"Morozan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peng","family":"Shi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,26]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/S036301299528458X"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1017\/S0308210500022903"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1109\/9.29425"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(93)90107-H"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1109\/9.489217"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1570-7"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6911(97)00008-X"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1080\/07362999908809609"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1997.3282"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.1997.3.317"},{"key":"R11","volume":"35","author":"Dragan V.","year":"2002","journal-title":"Stochastic Anal. 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