friction is a nonlinear phenomenon which has destructive effects on performance of control systems. to obviate these effects, friction compensation is an effectual solution. in this paper, an adaptive technique is proposed in order to eliminate limit cycles as one of the undesired behaviors due to presence of friction in control systems which happen frequently. the proposed approach works for n...

In this study, we propose a new dynamic warping algorithm for cyclic sequence comparison, which approximate the optimal solution efficiently. The comparison of two sequences, whose starting points are known, is performed by finding the optimal correspondence between their elements, which minimize the distance. If the sequences are cyclic and their starting points are not known, the alignment co...

Recent work shows that the memory requirements of bestfirst heuristic search can be reduced substantially by using a divide-and-conquer method of solution reconstruction. We show that memory requirements can be reduced even further by using a breadth-first instead of a best-first search strategy. We describe optimal and approximate breadth-first heuristic search algorithms that use divide-and-c...

One useful application of random algorithms is to approximate NP-hard problems: although there is no known polynomial time algorithm for finding the optimal solution these problems, it is often possible to find a randomized algorithm that can find an approximately optimal solution. One common method for doing this is called Randomized Rounding of Linear Programs(LPs). The basic idea is to take ...

in the present paper‎, ‎we propose an iterative algorithm for‎ ‎solving the generalized $(p,q)$-reflexive solution of the quaternion matrix‎ ‎equation $overset{u}{underset{l=1}{sum}}a_{l}xb_{l}+overset{v} ‎{underset{s=1}{sum}}c_{s}widetilde{x}d_{s}=f$‎. ‎by this iterative algorithm‎, ‎the solvability of the problem can be determined automatically‎. ‎when the‎ ‎matrix equation is consistent over...

Many of the physical phenomena, like friction, backlash, drag, and etc., which appear in mechanical systems are inherently nonlinear and have destructive effects on the control systems behavior. Generally, they are modeled by hard nonlinearities. In this paper, two different methods are proposed to cope with the effects of hard nonlinearities which exist in friction various models. Simple inver...

on the basis of a reproducing kernel space, an iterative algorithm for solving the one-dimensional linear and nonlinear schrödinger equations is presented. the analytical solution is shown in a series form in the reproducing kernel space and the approximate solution is constructed by truncating the series. the convergence of the approximate solution to the analytical solution is also proved. th...

in this paper, we give an analytical approximate solution for an integro- differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields is considered. the homotopy analysis method (ham) is used for solving this equation. several examples are given to reconfirm the efficiency of these algorithms. the results of applying this procedure...

In this paper, a new optimal robust control design approach is proposed for the task of spacecraft rendezvous such that both the stabilization and optimal performance are achieved. An approximate closed-form solution to the nonlinear optimal control problem is obtained by employing the θ-D technique, which is derived based on an approximate solution to the Hamilton-Jacobi-Bellman equation obtai...

By applying the generalized singular value decomposition and the canonical correlation decomposition simultaneously, we derive an analytical expression of the optimal approximate solution b X, which is both a least-squares symmetric orthogonal anti-symmetric solution of the matrix equation A XA = B and a best approximation to a given matrix X∗. Moreover, a numerical algorithm for finding this o...