In this work, a new control scheme for synchronization of AC microgrids with upstream power grid is presented. The effects of V2Gs (vehicle to grid) dynamics on synchronization process is studied. This new control approach is based on the optimal fractional calculus and has been developed for synchronization of the microgrid. The V2Gs effect on the dynamics of the microgrid is analyzed through ...

In this article, a mathematical model describing the growth orterminating myelogenous leukemia blood cancer's cells against naive T-celland eective T-cell population of body, presented by fractional dierentialequations. We use this model to analyze the stability of the dynamics, whichoccur in the local interaction of eector-immune cell and tumor cells. Wewill also investigate the optimal contro...

This article deals with the optimal control of fractional stochastic nonlocal semilinear system in Hilbert space. The existence and uniqueness results for mild solution are derived using Banach fixed point theorem. is proved minimizing sequence approach Mazur?s lemma. For better understanding theory, we have included one example.

In this paper, a finite-horizon optimal control problem involving dynamical system described by linear Caputo fractional differential equation and quadratic cost functional is considered. An explicit formula for the value given, which includes solution of certain Fredholm integral equation. A step-by-step feedback procedure constructing $ \varepsilon $-optimal controls with any accuracy > 0 ...

The existence of a unique strong solution for the Cauchy problem to semilinear nondegenerate fractional differential equation and for the generalized Showalter–Sidorov problem to semilinear fractional differential equation with degenerate operator at the Caputo derivative in Banach spaces is proved. These results are used for search of solution existence conditions for a class of optimal contro...