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Zbl 1210.80008
Jesus, Isabel S.; Tenreiro Machado, J.A.
Fractional control of heat diffusion systems.
(English)
[J] Nonlinear Dyn. 54, No. 3, 263-282 (2008). ISSN 0924-090X; ISSN 1573-269X/e

The paper deals with study of heat diffusion system using the fractional calculus concepts. The fractional order operator is and some implications of the fractional calculus on the control algorithms and systems with time delay are investigated. Four kinds of control strategies are presented and compared from the point of view of accuracy as well as the implementation efficiency.
[Vladimir Sládek (Bratislava)]
MSC 2000:
*80A20 Heat and mass transfer
34A08
26A33 Fractional derivatives and integrals (real functions)

Keywords: fractional calculus; heat diffusion; fractional-order control systems; control algorithms

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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