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Control theory for nonlinear fractional dispersive systems

Maja Joli\'cSanja KonjikDarko Mitrovi\'c
Dec 2022
摘要
We consider a terminal control problem for processes governed by a nonlinearsystem of fractional ODEs. In order to show existence of the control, we firstconsider the linear counterpart of the system and reprove a number of classicaltheorems in the fractional setting (representation of the solution through theGramian type matrix, Kalman's principle, equivalence of the controllability andobservability). We are then in the position to use a fixed point theoremapproach and various techniques from the fractional calculus theory to get thedesired result.
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