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In particular, the network topology is assumed to follow a semi\u2010Markov process such that it may switch from one to another at different instants. In this paper, the random gain variation is represented by a stochastic variable that is assumed to satisfy the Bernoulli distribution with white sequences. Based on these hypotheses and the Lyapunov\u2010Krasovskii stability theory, a new finite\u2010time stochastic synchronization criterion is established for the considered network in terms of linear matrix inequalities. Moreover, the control design parameters that guarantee the required criterion are computed by solving a set of linear matrix inequality constraints. An illustrative example is finally given to show the effectiveness and advantages of the developed analytical results.<\/jats:p>","DOI":"10.1155\/2018\/8546304","type":"journal-article","created":{"date-parts":[[2018,1,16]],"date-time":"2018-01-16T23:30:48Z","timestamp":1516145448000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":31,"title":["Finite\u2010Time Nonfragile Synchronization of Stochastic Complex Dynamical Networks with Semi\u2010Markov Switching Outer Coupling"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5528-2709","authenticated-orcid":false,"given":"Rathinasamy","family":"Sakthivel","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ramalingam","family":"Sakthivel","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Boomipalagan","family":"Kaviarasan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chao","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4590-763X","authenticated-orcid":false,"given":"Yong-Ki","family":"Ma","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2018,1,16]]},"reference":[{"key":"e_1_2_8_1_2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511780356"},{"key":"e_1_2_8_2_2","unstructured":"AiharaK. 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