A b s t r a c t. Several results are obtained concerning the function ∆ k (x), which represents the error term in the general Dirichlet divisor problem. These include the estimates for the integral of this function, as well as for the corresponding mean square integral. The mean square integral of ∆ 2 (x) is investigated in detail.

A hybrid control scheme of Sugeno Fuzzy PD-like System (SFPDS) and PID controller is introduced in this work. The idea of the proposed strategy is to manipulate the control error signal in two stages: the SFPDS first, and then the PID. The manipulated signal is finally provided as a control action to the system. The proposed control strategy aims at combining the benefits of utilizing the artif...

Order reduction of linear-time invariant systems employing two methods; one using the advantages of Routh approximation and other by an evolutionary technique is presented in this paper. In Routh approximation method the denominator of the reduced order model is obtained using Routh approximation while the numerator of the reduced order model is determined using the indirect approach of retaini...

This paper presents a case study of the setpoint tracking performance proportional integral derivative (PID) controller on Single-Input Single-Output (SISO) and Multi-Input Multi-Output (MIMO) nonlinear digital plants under Gaussian white noise constant load disturbance for time-delay dynamic system. With objective getting better understanding discrete-time PID controller, we proposed using two...

This paper describes the dynamic performance of two area interconnected hydro-hydro power systems when subjected to 1% step load perturbation. For this present study, the system is incorporated with conventional Proportional-Integral (PI) controller and Fuzzy Logic Controller (FLC). The dc link is used as system interconnection in parallel with ac tie-lines. The dc link is considered to be oper...

This paper presents a new population based parameter free optimization algorithm as teaching learning based optimization (TLBO) and its application to automatic load frequency control (ALFC) of multi-source power system having thermal, hydro and gas power plants. The proposed method is based on the effect of the influence of teacher on the output of learners and the learners can enhance their k...

A Back Propagation Artificial Neural Network (BPANN) is a well-known learning algorithmpredicated on a gradient descent method that minimizes the square error involving the networkoutput and the goal of output values. In this study, 261 GPS/Leveling and 8869 gravity intensityvalues of Iran were selected, then the geoid with three methods “ellipsoidal stokes integral”,“BPANN”, and “collocation” ...

The systolic architecture is an arrangement of processor where data flows synchronously across array element. To obtain perfect solution parallel computing is use in contradiction. The tremendous growth of computer and Internet technology wants a data to be process with a high speed and in a powerful manner. In such complex environment, the conventional methods of performing multiplications are...

In this paper we consider a kernel estimator of a density in a convolution model and give a central limit theorem for its integrated square error (ISE). The kernel estimator is rather classical in minimax theory when the underlying density is recovered from noisy observations. The kernel is fixed and depends heavily on the distribution of the noise, supposed entirely known. The bandwidth is not...

This paper presents designing an optimal adaptive controller for tracking control of robot manipulators based on particle swarm optimization (PSO) algorithm. PSO algorithm has been employed to optimize parameters of the controller and hence to minimize the integral square of errors (ISE) as a performance criteria. In this paper, an improved PSO using logic is proposed to increase the convergenc...