On the existence of optimal controls for the fractional continuous-time Cucker–Smale model

Agnieszka B. Malinowska; Tatiana Odzijewicz; Ewa Schmeidel

Conference Proceedings

On the existence of optimal controls for the fractional continuous-time Cucker–Smale model

Malinowska A
Odzijewicz T
Schmeidel E

Lecture Notes in Electrical Engineering (2017) 407 227-240

DOI: 10.1007/978-3-319-45474-0_21

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Abstract

In this work the Cucker–Smale fractional optimal control problem is proposed and studied.We show that considered problem has an optimal solution and we derive necessary conditions for this solution.

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Consensus
Cucker–Smale model
Fractional analysis
Fractional optimal control
Optimal solution

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Malinowska, A. B., Odzijewicz, T., & Schmeidel, E. (2017). On the existence of optimal controls for the fractional continuous-time Cucker–Smale model. In Lecture Notes in Electrical Engineering (Vol. 407, pp. 227–240). Springer Verlag. https://doi.org/10.1007/978-3-319-45474-0_21

On the existence of optimal controls for the fractional continuous-time Cucker–Smale model

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