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Optimal control of fractional systems: a diffusive formulation

Matignon, Denis Optimal control of fractional systems: a diffusive formulation. (2010) In: 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010, 05-09 Jul 2010, Budapest, Hungary .

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Optimal control of fractional linear systems on a finite horizon can be classically formulated using the adjoint system. But the adjoint of a causal fractional integral or derivative operator happens to be an anti-causal operator: hence, the adjoint equations are not easy to solve in the first place. Using an equivalent diffusive realization helps transform the original problem into a coupled system of PDEs, for which the adjoint system can be more easily derived and properly studied.

Item Type:Invited Conference
Audience (conference):International conference proceedings
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Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
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Deposited On:10 May 2010 14:52

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