Fractional-order proportional integral derivative (FOPID) controllers are becoming increasingly popular for various industrial applications due to the advantages they can offer. Among these applications, heating and temperature control systems receiving significant attention, applying FOPID achieve better performance robustness, more stability flexibility, faster response. Moreover, with severa...

In this paper, we discuss the tracking control problem for fractional order descriptor systems. The aim of paper is to find optimal control-state pair satisfying dynamic constraint form a system such that performance index minimized. method solving convert into standard system. Under some particular conditions, explicit formulas which minimize index.

In this paper, a fractional order universal high gain adaptive stabilizer is proposed which guarantees the Lp stability of fractional order multiple–input and multiple–output (MIMO) systems with finite control effort. The boundedness of the control gain for the fractional order universal adaptive strategy is discussed for fractional order MIMO systems, and an upper bound of the control gain is ...

in this article, we develop the distributed order fractional hybrid differential equations (dofhdes) with linear perturbations involving the fractional riemann-liouville derivative of order $0 < q < 1$ with respect to a nonnegative density function. furthermore, an existence theorem for the fractional hybrid differential equations of distributed order is proved under the mixed $varphi$-lipschit...