Document details

Fixed point transformations in the adaptive control of fractional-order MIMO sy...

Author(s): Tar, József K. cv logo 1 ; Rudas, Imre J. cv logo 2 ; Nádai, László cv logo 3 ; Kozłowski, Krzysztof R. cv logo 4 ; Machado, J. A. Tenreiro cv logo 5

Date: 2009

Persistent ID: http://hdl.handle.net/10400.22/4208

Origin: Repositório Científico do Instituto Politécnico do Porto


Description
Though the formal mathematical idea of introducing noninteger order derivatives can be traced from the 17th century in a letter by L’Hospital in which he asked Leibniz what the meaning of D n y if n = 1/2 would be in 1695 [1], it was better outlined only in the 19th century [2, 3, 4]. Due to the lack of clear physical interpretation their first applications in physics appeared only later, in the 20th century, in connection with visco-elastic phenomena [5, 6]. The topic later obtained quite general attention [7, 8, 9], and also found new applications in material science [10], analysis of earth-quake signals [11], control of robots [12], and in the description of diffusion [13], etc.
Document Type Part of book or chapter of book
Language English
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