{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,22]],"date-time":"2026-08-22T01:11:54Z","timestamp":1787361114371,"version":"build-2736575974"},"reference-count":27,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Control Optim."],"published-print":{"date-parts":[[2010,1]]},"abstract":"<jats:p>For a given continuous-time switched system, its stability is determined by (i) the structure of the system; (ii) the admissible switching set; and (iii) the duration time in each subsystem. Both (ii) and (iii) are stability characterizations of switching dynamics for continuous-time switched systems. In this paper, we introduce a new type of characteristic exponent, the Liao-type exponent, which is computable, to capture the stability feature of continuous-time switched systems. We obtain two criteria of asymptotic exponential stability for linear and nonlinear cases by estimating the corresponding Liao-type exponents, respectively. The proposed approach is constructive and the obtained results allow existence of switching constraints. Several examples are provided to illustrate theoretical outcomes of the paper.<\/jats:p>","DOI":"10.1137\/080719303","type":"journal-article","created":{"date-parts":[[2010,1,22]],"date-time":"2010-01-22T18:11:24Z","timestamp":1264183884000},"page":"3271-3296","source":"Crossref","is-referenced-by-count":11,"title":["Criteria of Stability for Continuous-Time Switched Systems by Using Liao-Type Exponents"],"prefix":"10.1137","volume":"48","author":[{"given":"Xiongping","family":"Dai","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yu","family":"Huang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"MingQing","family":"Xiao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,1,22]]},"reference":[{"key":"R1","first-page":"475","volume":"50","author":"Barabanov N. 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