| Abstract: |
| In this talk, we extend fractional optimal control theory by proving a version of Pontryagin`s Maximum Principle and establishing a sufficient optimality condition for an optimal control problem. The dynamical system constraint in this problem is governed by a generalized form of a fractional derivative: the left-sided Caputo distributed-order fractional derivative with an arbitrary kernel. This approach provides a more versatile representation of dynamic processes, accommodating a broader range of memory effects and hereditary properties inherent in diverse physical, biological, and engineering systems. |
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