{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,20]],"date-time":"2024-09-20T16:14:50Z","timestamp":1726848890688},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2016,6,1]],"date-time":"2016-06-01T00:00:00Z","timestamp":1464739200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Math. Control Signals Syst."],"published-print":{"date-parts":[[2016,6]]},"DOI":"10.1007\/s00498-016-0167-4","type":"journal-article","created":{"date-parts":[[2016,6,1]],"date-time":"2016-06-01T06:59:52Z","timestamp":1464764392000},"update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["A Fibonacci control system with application to hyper-redundant manipulators"],"prefix":"10.1007","volume":"28","author":[{"given":"Anna Chiara","family":"Lai","sequence":"first","affiliation":[]},{"given":"Paola","family":"Loreti","sequence":"additional","affiliation":[]},{"given":"Pierluigi","family":"Vellucci","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,6,1]]},"reference":[{"key":"167_CR1","unstructured":"Anderson VV, Horn RC (1967) Tensor-arm manipulator design. Am Soc Mech Eng 67-DE-75:1\u201312"},{"key":"167_CR2","first-page":"1698","volume":"3","author":"J Baillieul","year":"1986","unstructured":"Baillieul J (1986) Avoiding obstacles and resolving kinematic redundancy. IEEE Int Conf Robot Autom 3:1698\u20131704","journal-title":"IEEE Int Conf Robot Autom"},{"key":"167_CR3","volume-title":"The self-made tapestry: pattern formation in nature","author":"P Ball","year":"1999","unstructured":"Ball P (1999) The self-made tapestry: pattern formation in nature. Oxford University Press, Oxford"},{"key":"167_CR4","volume-title":"Kinematic analysis and design of redundant robot manipulators","author":"JW Burdick","year":"1988","unstructured":"Burdick JW (1988) Kinematic analysis and design of redundant robot manipulators. Stanford University, Diss"},{"key":"167_CR5","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1109\/ROBOT.1990.126052","volume":"1","author":"GS Chirikjian","year":"1990","unstructured":"Chirikjian GS, Burdick JW (1990) An obstacle avoidance algorithm for hyper-redundant manipulators. IEEE Int Conf Robot Autom 1:625\u2013631","journal-title":"IEEE Int Conf Robot Autom"},{"issue":"6","key":"167_CR6","doi-asserted-by":"crossref","first-page":"781","DOI":"10.1109\/70.478426","volume":"11","author":"GS Chirikjian","year":"1995","unstructured":"Chirikjian GS, Burdick JW (1995) The kinematics of hyper-redundant robot locomotion. IEEE Trans Robot Autom 11(6):781\u2013793","journal-title":"IEEE Trans Robot Autom"},{"issue":"2","key":"167_CR7","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1061\/(ASCE)0893-1321(1999)12:2(65)","volume":"12","author":"H Choset","year":"1999","unstructured":"Choset H, Henning W (1999) A follow-the-leader approach to serpentine robot motion planning. J Aerosp Eng 12(2):65\u201373","journal-title":"J Aerosp Eng"},{"key":"167_CR8","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1007\/PL00009881","volume":"14","author":"Y Chitour","year":"2001","unstructured":"Chitour Y, Piccoli B (2001) Controllability for discrete control systems with a finite control set. Math Control Signal Syst 14:173\u2013193","journal-title":"Math Control Signal Syst"},{"key":"167_CR9","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1109\/ROBOT.1996.503586","volume":"1","author":"I Ebert-Uphoff","year":"1996","unstructured":"Ebert-Uphoff I, Chirikjian GS (1996) Inverse kinematics of discretely actuated hyper-redundant manipulators using workspace densities. IEEE Int Conf Robot Autom 1:139\u2013145","journal-title":"IEEE Int Conf Robot Autom"},{"issue":"1\u20132","key":"167_CR10","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1023\/A:1006557705401","volume":"79","author":"P Erd\u00f6s","year":"1998","unstructured":"Erd\u00f6s P, Komornik V (1998) Developments in non-integer bases. Acta Math Hungar 79(1\u20132):57\u201383","journal-title":"Acta Math Hungar"},{"key":"167_CR11","unstructured":"Falconer K (2013) Fractal geometry: mathematical foundations and applications. Wiley, New York"},{"key":"167_CR12","doi-asserted-by":"crossref","unstructured":"Gilbert WJ (1981) Geometry of radix representations. The geometric vein. Springer, New York, pp 129\u2013139","DOI":"10.1007\/978-1-4612-5648-9_7"},{"issue":"1","key":"167_CR13","first-page":"65","volume":"11","author":"WJ Gilbert","year":"1987","unstructured":"Gilbert WJ (1987) Complex bases and fractal similarity. Ann Sci.Math Qu\u00e9bec 11(1):65\u201377","journal-title":"Ann Sci.Math Qu\u00e9bec"},{"key":"167_CR14","unstructured":"Indlekofer K-H, K\u00e1tai I, Racsk\u00f3 P (1992) Number systems and fractal geometry. Probability theory and applications. Springer, The Netherlands, pp 319\u2013334"},{"key":"167_CR15","first-page":"713","volume":"30","author":"J Hutchinson","year":"1981","unstructured":"Hutchinson J (1981) Fractals and self-similarity Indiana Univ. J Math 30:713\u2013747","journal-title":"J Math"},{"issue":"3","key":"167_CR16","doi-asserted-by":"crossref","first-page":"399","DOI":"10.4153\/CMB-2007-038-5","volume":"50","author":"V Komornik","year":"2007","unstructured":"Komornik V, Loreti P (2007) Expansions in complex bases. Can Math Bull 50(3):399\u2013408","journal-title":"Can Math Bull"},{"key":"167_CR17","doi-asserted-by":"crossref","unstructured":"Kwon SJ, Chung WK, Youm Y, Kim MS (1991) Self-collision avoidance for n-link redundant manipulators. Proceedings of the IEEE international conference on system, man and cybernetics, Charlottesville, USA, pp 937\u2013942","DOI":"10.1109\/ICSMC.1991.169808"},{"issue":"4","key":"167_CR18","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1007\/s10474-012-0214-7","volume":"136","author":"AC Lai","year":"2012","unstructured":"Lai AC (2012) Geometrical aspects of expansions in complex bases. Acta Math Hung 136(4):275\u2013300","journal-title":"Acta Math Hung"},{"issue":"1","key":"167_CR19","doi-asserted-by":"crossref","first-page":"71","DOI":"10.3934\/nhm.2012.7.71","volume":"7","author":"AC Lai","year":"2011","unstructured":"Lai AC, Loreti P (2011) Robot\u2019s finger and expansions in non-integer bases. Netw Heterog Media 7(1):71\u2013111","journal-title":"Netw Heterog Media"},{"issue":"1","key":"167_CR20","first-page":"371","volume":"16","author":"AC Lai","year":"2014","unstructured":"Lai AC, Loreti P (2014) Robot\u2019s hand and expansions in non-integer bases. Discret. Math. Theor Comput Sci 16(1):371\u2013394","journal-title":"Discret. Math. Theor Comput Sci"},{"key":"167_CR21","unstructured":"Lai AC, Loreti P (2012) Discrete asymptotic reachability via expansions in non-integer bases. Proceedings of 9-th international conference on informatics in control, automation and robotics"},{"key":"167_CR22","doi-asserted-by":"crossref","unstructured":"Lai AC, Loreti P, Vellucci P (2014) A model for robotic hand based on fibonacci sequence. Proceedings of the 11-th international conference on informatics in control, automation and robotics, pp 577\u2013587","DOI":"10.5220\/0005115205770584"},{"key":"167_CR23","first-page":"3924","volume":"4","author":"J Liu","year":"2004","unstructured":"Liu J, Wang Y, Ma S, Li B (2004) Shape control of hyper-redundant modularized manipulator using variable structure regular polygon. Intell Robots Syst 4:3924\u20133929","journal-title":"Intell Robots Syst"},{"issue":"1","key":"167_CR24","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1053\/jhsu.2003.50000","volume":"28","author":"AE Park","year":"2003","unstructured":"Park AE, Fernandez JJ, Schmedders K, Cohen MS (2003) The Fibonacci sequence: relationship to the human hand. J Hand Surg Am 28(1):157\u2013160","journal-title":"J Hand Surg Am"},{"key":"167_CR25","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1007\/BF02020954","volume":"11","author":"W Parry","year":"1960","unstructured":"Parry W (1960) On the $$\\beta $$ \u03b2 -expansions of real numbers. Acta Math Acad Sci Hungar 11:401\u2013416","journal-title":"Acta Math Acad Sci Hungar"},{"key":"167_CR26","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1007\/BF02020331","volume":"8","author":"A R\u00e9nyi","year":"1957","unstructured":"R\u00e9nyi A (1957) Representations for real numbers and their ergodic properties. Acta Math Acad Sci Hung 8:477\u2013493","journal-title":"Acta Math Acad Sci Hung"},{"key":"167_CR27","first-page":"216","volume":"4","author":"J Wille","year":"2012","unstructured":"Wille J (2012) Occurrence of Fibonacci numbers in development and structure of animal forms: Phylogenetic observations and epigenetic significance. Nat Sci 4:216\u2013232","journal-title":"Nat Sci"}],"container-title":["Mathematics of Control, Signals, and Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00498-016-0167-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00498-016-0167-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00498-016-0167-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,24]],"date-time":"2017-06-24T15:28:38Z","timestamp":1498318118000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00498-016-0167-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,6]]},"references-count":27,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2016,6]]}},"alternative-id":["167"],"URL":"https:\/\/doi.org\/10.1007\/s00498-016-0167-4","relation":{},"ISSN":["0932-4194","1435-568X"],"issn-type":[{"value":"0932-4194","type":"print"},{"value":"1435-568X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,6]]},"article-number":"15"}}