Lan, PinMinchala Ávila, Luis IsmaelLi, HuiminZhang, Huiyan2022-01-282022-01-2820211349-4198http://dspace.ucuenca.edu.ec/handle/123456789/37880https://www.scopus.com/record/display.uri?eid=2-s2.0-85102860586&doi=10.24507%2fijicic.17.02.511&origin=inward&txGid=5c0a5e9ba5e523bf4c333a2d669411eaThis paper is concerned with the approximation problem for semi-Markovian jump systems (SMJSs) based on generalized time-limited Gramians. For a given SMJS with partially known transition probabilities, the generalized time-limited Gramians are defined and then solved by using time-interval input/output energy functions. The proposed model reduction algorithm can solve the synchronization jump problem, and also achieve the required reduced accuracy within the expected time-interval. Specially, the reduced error of the proposed algorithm is lower compared with the balanced truncation method, which has more theoretical value in time-interval control synthesis. Finally, a numeral example including four subsystems is given to estimate the effectiveness of the proposed results. © 2021 ICIC International.es-ESModel reductionTime-limited gramiansSemi-Markovian jump systems (SMJSs)Balanced truncationPartially assess transition probabilitiesTime-limited model reduction for semi-markovian jump systems based on generalized gramians<resourceType xmlns="http://datacite.org/schema/kernel-4" resourceTypeGeneral="Other">ARTÍCULO</resourceType><alternateIdentifier xmlns="http://datacite.org/schema/kernel-4" alternateIdentifierType="doi">10.24507/ijicic.17.02.511</alternateIdentifier>