{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T22:16:05Z","timestamp":1771539365847,"version":"3.50.1"},"publisher-location":"Cham","reference-count":22,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783319293561","type":"print"},{"value":"9783319293578","type":"electronic"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016]]},"DOI":"10.1007\/978-3-319-29357-8_4","type":"book-chapter","created":{"date-parts":[[2016,2,3]],"date-time":"2016-02-03T11:24:57Z","timestamp":1454498697000},"page":"37-50","source":"Crossref","is-referenced-by-count":22,"title":["Descriptor Fractional Discrete-Time Linear System and Its Solution\u2014Comparison of Three Different Methods"],"prefix":"10.1007","author":[{"given":"\u0141ukasz","family":"Sajewski","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,2,4]]},"reference":[{"issue":"3","key":"4_CR1","doi-asserted-by":"publisher","first-page":"411","DOI":"10.1137\/0131035","volume":"31","author":"SL Campbell","year":"1976","unstructured":"Campbell, S.L., Meyer, C.D., Rose, N.J.: Applications of the Drazin inverse to linear systems of differential equations with singular constant coefficients. SIAMJ Appl. Math. 31(3), 411\u2013425 (1976)","journal-title":"SIAMJ Appl. Math."},{"key":"4_CR2","doi-asserted-by":"crossref","unstructured":"Dai, L.: Singular Control Systems, Lectures Notes in Control and Information Sciences. Springer, Berlin (1989)","DOI":"10.1007\/BFb0002475"},{"issue":"8","key":"4_CR3","doi-asserted-by":"publisher","first-page":"1267","DOI":"10.1016\/j.laa.2009.04.024","volume":"431","author":"M Dodig","year":"2009","unstructured":"Dodig, M., Stosic, M.: Singular systems state feedbacks problems. Linear Algebra Appl. 431(8), 1267\u20131292 (2009)","journal-title":"Linear Algebra Appl."},{"key":"4_CR4","volume-title":"Analysis and Design of Descriptor Linear Systems","author":"D Guang-Ren","year":"2010","unstructured":"Guang-Ren, D.: Analysis and Design of Descriptor Linear Systems. Springer, New York (2010)"},{"issue":"2","key":"4_CR5","doi-asserted-by":"publisher","first-page":"309","DOI":"10.2478\/amcs-2013-0023","volume":"23","author":"T Kaczorek","year":"2013","unstructured":"Kaczorek, T.: Descriptor fractional linear systems with regular pencils. Int. J. Appl. Math. Comput. Sci. 23(2), 309\u2013315 (2013)","journal-title":"Int. J. Appl. Math. Comput. Sci."},{"issue":"1","key":"4_CR6","doi-asserted-by":"publisher","first-page":"26","DOI":"10.2478\/ama-2013-0005","volume":"7","author":"T Kaczorek","year":"2013","unstructured":"Kaczorek, T.: Singular fractional continuous-time and discrete-time linear systems. Acta Mechanica et Automatica 7(1), 26\u201333 (2013)","journal-title":"Acta Mechanica et Automatica"},{"issue":"3","key":"4_CR7","first-page":"1","volume":"40","author":"T Kaczorek","year":"2011","unstructured":"Kaczorek, T.: Singular fractional discrete-time linear systems. Control Cybern. 40(3), 1\u20138 (2011)","journal-title":"Control Cybern."},{"key":"4_CR8","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1007\/978-3-319-15796-2_24","volume":"350","author":"\u0141 Sajewski","year":"2015","unstructured":"Sajewski, \u0141.: Solution of the state equation of descriptor fractional continuous-time linear systems with two different fractional. Adv. Intell. Syst. Comput. 350, 233\u2013242 (2015)","journal-title":"Adv. Intell. Syst. Comput."},{"key":"4_CR9","volume-title":"Fractional Calculus","author":"K Nishimoto","year":"1984","unstructured":"Nishimoto, K.: Fractional Calculus. Decartess Press, Koriama (1984)"},{"key":"4_CR10","volume-title":"The Fractional Calculus","author":"KB Oldham","year":"1974","unstructured":"Oldham, K.B., Spanier, J.: The Fractional Calculus. Academmic Press, New York (1974)"},{"key":"4_CR11","volume-title":"Fractional Differential Equations","author":"I Podlubny","year":"1999","unstructured":"Podlubny, I.: Fractional Differential Equations. Academic Press, San Diego (1999)"},{"issue":"2","key":"4_CR12","first-page":"87","volume":"1","author":"J Losada","year":"2015","unstructured":"Losada, J., Nieto, J.: Properties of a new fractional derivative without singular kernel. Prog. Fract. Differ. Appl. 1(2), 87\u201392 (2015)","journal-title":"Prog. Fract. Differ. Appl."},{"key":"4_CR13","volume-title":"Ultracapacitor parameters identification based on fractional order model","author":"A Dzieli\u0144ski","year":"2009","unstructured":"Dzieli\u0144ski, A., Sierociuk, D., Sarwas, G.: Ultracapacitor parameters identification based on fractional order model. Proc. ECC, Budapest (2009)"},{"key":"4_CR14","unstructured":"Ferreira, N.M.F., Machado, J.A.T.: Fractional-order hybrid control of robotic manipulators. In: Proceedings of the 11th International Conference on Advanced Robotics, ICAR, pp. 393\u2013398. Coimbra, Portugal (2003)"},{"key":"4_CR15","volume-title":"An Introduction to the Fractional Calculus and Fractional Differenctial Equations","author":"KS Miller","year":"1993","unstructured":"Miller, K.S., Ross, B.: An Introduction to the Fractional Calculus and Fractional Differenctial Equations. Willey, New York (1993)"},{"key":"4_CR16","unstructured":"Kaczorek, T.: Solution of the state equations of descriptor fractional discrete-time linear systems with regular pencils. Tech. Transp. Szyn. 10, 415\u2013422 (2013)"},{"issue":"4","key":"4_CR17","first-page":"1","volume":"5","author":"T Kaczorek","year":"2011","unstructured":"Kaczorek, T.: Reduction and decomposition of singular fractional discrete-time linear systems. Acta Mechanica et Automatica 5(4), 1\u20135 (2011)","journal-title":"Acta Mechanica et Automatica"},{"issue":"1","key":"4_CR18","doi-asserted-by":"publisher","first-page":"29","DOI":"10.2478\/amcs-2013-0003","volume":"23","author":"T Kaczorek","year":"2013","unstructured":"Kaczorek, T.: Application of Drazin inverse to analysis of descriptor fractional discrete-time linear systems with regular pencils. Int. J. Appl. Math. Comput. Sci. 23(1), 29\u201333 (2013)","journal-title":"Int. J. Appl. Math. Comput. Sci."},{"issue":"3","key":"4_CR19","doi-asserted-by":"crossref","first-page":"409","DOI":"10.2478\/bpasts-2014-0042","volume":"62","author":"T. Kaczorek","year":"2014","unstructured":"Kaczorek, T.: Drazin inverse matrix method for fractional descriptor continuous-time linear systems. Bull. Pol. Ac.: Tech. 62(3), 409\u2013412 (2014)","journal-title":"Bulletin of the Polish Academy of Sciences Technical Sciences"},{"key":"4_CR20","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-20502-6","volume-title":"Selected Problems in Fractional Systems Theory","author":"T Kaczorek","year":"2011","unstructured":"Kaczorek, T.: Selected Problems in Fractional Systems Theory. Springer, Berlin (2011)"},{"key":"4_CR21","volume-title":"Vectors and Matrices in Automation and Electrotechnics","author":"T Kaczorek","year":"1998","unstructured":"Kaczorek, T.: Vectors and Matrices in Automation and Electrotechnics. WNT, Warszawa (1998)"},{"key":"4_CR22","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1016\/0024-3795(79)90035-1","volume":"27","author":"P Dooren Van","year":"1979","unstructured":"Van Dooren, P.: The computation of Kronecker\u2019s canonical form of a singular pencil. Linear Algebra Appl. 27, 103\u2013140 (1979)","journal-title":"Linear Algebra Appl."}],"container-title":["Advances in Intelligent Systems and Computing","Challenges in Automation, Robotics and Measurement Techniques"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-29357-8_4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T09:02:37Z","timestamp":1559379757000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-29357-8_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319293561","9783319293578"],"references-count":22,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-29357-8_4","relation":{},"ISSN":["2194-5357","2194-5365"],"issn-type":[{"value":"2194-5357","type":"print"},{"value":"2194-5365","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016]]}}}