Abstract
The paper concerns game problems for controlled systems with arbitrary Riemann–Liouville fractional derivatives, regularized Dzhrbashyan-Caputo derivatives, and sequential Miller-Ross derivatives. Under fixed controls of players, solution to such systems is presented in the form of a Cauchy formula analog. On the basis of the method of resolving functions, sufficient conditions for the finite-time game termination from given initial states are derived. Theoretical results are illustrated on the model example where the dynamics of the pursuer and the evader are described by the systems of order π and e respectively.
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Chikrii, A., Matychyn, I. (2010). Game Problems for Fractional-Order Systems. In: Baleanu, D., Guvenc, Z., Machado, J. (eds) New Trends in Nanotechnology and Fractional Calculus Applications. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3293-5_19
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DOI: https://doi.org/10.1007/978-90-481-3293-5_19
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