The implicit difference approach is used to discretize a class of generalized fractional diffusion equations into series linear equations. By rearranging the as matrix form, separable forcing term and coefficient matrices are shown be low-ranked nonsingular M-matrix structure, respectively. A doubling Smith method with determined optimally iterative parameters presented for solving correspondin...

Abstract: This paper presents a new method for a PID-control design in which the PID-control loop is represented as an equivalent one to a control loop operating with an optimized PI-controller and a Smith predictor. It requires the nearest approximation of the power plant process description and the dead-time transfer function. The presented method is based on the PID-controller transfer funct...

In this paper a modified Smith predictor for linear delayed haptic interaction is presented. The objective is to design a feedback law which compensates the time delay by its somehow elimination from the characteristic equation of the closed loop system. This method is robust within a certain safe prediction interval. The applicability of Smith predictor in the case of haptic interaction using ...

In this paper we consider the numerical solution of large-scale projected generalized continuous-time and discrete-time Sylvester equations with low-rank right-hand sides. First, we present the results on the sufficient conditions for the existence, uniqueness, and analytic formula of the solutions of these equations. Second, we review the low-rank alternating direction implicit method and the ...

Background: The determinant role of different movements to strengthen the quadriceps on rate of knee joint co-contraction, hamstring to quadriceps muscle activity ratio and vastus medialis to vastus lateralis muscle activity ratio provides useful information for therapists, coaches and athletes about the role of each movement in the rehabilitation of patients with anterior cruc...