{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,14]],"date-time":"2024-06-14T18:32:06Z","timestamp":1718389926614},"reference-count":30,"publisher":"University of Zielona G\u00f3ra, Poland","issue":"1","license":[{"start":{"date-parts":[[2017,3,28]],"date-time":"2017-03-28T00:00:00Z","timestamp":1490659200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017,3,28]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>Reachability and minimum energy control of descriptor fractional discrete-time linear systems with different fractional orders are addressed. Using the Weierstrass\u2013Kronecker decomposition theorem of the regular pencil, a solution to the state equation of descriptor fractional discrete-time linear systems with different fractional orders is given. The reachability condition of this class of systems is presented and used for solving the minimum energy control problem. The discussion is illustrated with numerical examples.<\/jats:p>","DOI":"10.1515\/amcs-2017-0003","type":"journal-article","created":{"date-parts":[[2017,4,2]],"date-time":"2017-04-02T10:00:29Z","timestamp":1491127229000},"page":"33-41","source":"Crossref","is-referenced-by-count":6,"title":["Minimum Energy Control of Descriptor Fractional Discrete\u2013Time Linear Systems with Two Different Fractional Orders"],"prefix":"10.61822","volume":"27","author":[{"given":"\u0141ukasz","family":"Sajewski","sequence":"first","affiliation":[{"name":"Faculty of Electrical Engineering Bia\u0142ystok University of Technology, ul. Wiejska 45D, 15-351 Bia\u0142ystok , Poland"}]}],"member":"37438","published-online":{"date-parts":[[2017,5,4]]},"reference":[{"key":"2021040619253714305_j_amcs-2017-0003_ref_001_w2aab2b8b5b1b7b1ab1ab1Aa","doi-asserted-by":"crossref","unstructured":"Campbell, S.L., Meyer, C.D., Rose, N.J. (1976). Applications of the Drazin inverse to linear systems of differential equations with singular constant coefficients, SIAM Journal on Applied Mathematics31(3): 411\u2013425, DOI: 10.1137\/0131035.","DOI":"10.1137\/0131035"},{"key":"2021040619253714305_j_amcs-2017-0003_ref_002_w2aab2b8b5b1b7b1ab1ab2Aa","unstructured":"Caputo, M., Fabrizio, M. (2015). A new definition of fractional derivative without singular kernel, Progress in Fractional Differentiation and Applications1(2): 1\u201313, DOI: 10.12785\/pfda\/010201."},{"key":"2021040619253714305_j_amcs-2017-0003_ref_003_w2aab2b8b5b1b7b1ab1ab3Aa","doi-asserted-by":"crossref","unstructured":"Dai, L. (1989). 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