in this paper, we investigated the necessity and effects of optimal control methods in the stability and performance of a micro-grid that operates in islanded mode. the micro-gird is consisted of a combine heat and power (chp), a capacitor bank (cb), photovoltaic panel (pv) as power generation sources. in addition, battery and the building electricity and thermal load are placed on the load sid...

Abstract We study the optimal feedback control for fractional evolution equations with a nonlinear perturbation of time-fractional derivative term involving Caputo derivatives arbitrary kernels. Firstly, we derive mild solution in terms semigroup operator generated by resolvents and kernel from general operators establish existence uniqueness solutions systems. Then, feasible pairs applying Fil...

in recent years, there has been greater attempt to find numerical solutions of differential equations using wavelet's methods. the following method is based on vector forms of haar-wavelet functions. in this paper, we will introduce one dimensional haar-wavelet functions and the haar-wavelet operational matrices of the fractional order integration. also the haar-wavelet operational matrice...

the aim of this paper is to introduce a new approach for obtaining the numerical solution of singulary perturbed boundary value problems based on an optimal control technique. in the proposed method, first the mentioned equations are converted to an optimal control problem. then, control and state variables are approximated by chebychev series. therefore, the optimal control problem is reduced ...

economists were interested in economic stabilization policies as early as the 1930’s but the formal applications of stability theory from the classical control theory to economic analysis appeared in the early 1950’s when a number of control engineers actively collaborated with economists on economic stability and feedback mechanisms. the theory of optimal control resulting from the contributio...

In this article, fractional complex transform with optimal homotopy analysis method (OHAM) is used to obtain numerical and analytical solutions for the nonlinear time-space fractional Fornberg-Whitham. Fractional complex transform is proposed to convert time-space fractional Fornberg-Whitham equation to the nonlinear ordinary differential equations and then applied OHAM to the new obtained equa...

abstract the use of water sources has increased due to extend of agricultural activity for answering food needs of increasing population. while because of exploitation and consumption of water, the use of this restricted resource is not appropriate. consequently in many districts of country the head level of ground water aquifers have been fallen and water level is negative. so, application of ...

The optimal fractional order should be determined for image denoising by 2-D fractional wavelet transform (FWT). However, the actual application environment is complex, and the input image has already been polluted by unknown noise frequently in the process of capture and transmission. It is impossible to get the optimal fractional order on the basis of the objective evaluation standard in exis...