Fractional control of heat diffusion systems

Author:

Jesus Isabel S.,Tenreiro Machado J. A.

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Reference19 articles.

1. Oldham, K.B., Spanier, J.: The Fractional Calculus: Theory and Application of Differentiation and Integration to Arbitrary Order. Academic Press, New York (1974)

2. Podlubny, I.: Fractional Differential Equations. Academic Press, San Diego (1999)

3. Battaglia, J.L., Cois, O., Puigsegur, L., Oustaloup, A.: Solving an inverse heat conduction problem using a non-integer identified model. Int. J. Heat Mass Transf. 44, 2671–2680 (2001)

4. Courant, R., Hilbert, D.: Methods of Mathematical Physics, Partial Differential Equations. Wiley–Interscience II, New York (1962)

5. Podlubny, I.: Fractional-order systems and PI λ D μ -controllers. IEEE Trans. Automat. Contr. 44(1), 208–213 (1999)

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