In this paper we study the convergence of the approximate solutions for the following first order problem u’(t) f(t,u(t));t [O,T],au(O)-bu(to) =c,a,b > 0, a +b > 0,t0 (0,T]. Here fI R tt is such that exists and is a continuous function for some k > 1. Under some additional conditions on -, we prove that it is possible to construct two sequences of approximate solutions converging to a solution ...

in this paper, an efficient method for solving optimal control problemsof the linear differential systems with inequality constraint is proposed. by usingnew adjustment of hat basis functions and their operational matrices of integration,optimal control problem is reduced to an optimization problem. also, the erroranalysis of the proposed method is investigated and it is proved that the order o...

Many structured data-fitting applications require the solution of an optimization problem involving a sum over a potentially large number of measurements. Incremental gradient algorithms offer inexpensive iterations by sampling a subset of the terms in the sum; these methods can make great progress initially, but often slow as they approach a solution. In contrast, full-gradient methods achieve...

Voltage profile and losses are important factors in a distribution network in which there arevariety of ways to improve them. In this paper, distributed generation (DG) is used as a solutionto improve the above characteristics. Backward/Forward Sweep load flow algorithm is used dueto the inefficiency of usual load flow algorithms because of high R/X ratio and their lack ofconvergence in distrib...

voltage profile and losses are important factors in a distribution network in which there arevariety of ways to improve them. in this paper, distributed generation (dg) is used as a solutionto improve the above characteristics. backward/forward sweep load flow algorithm is used dueto the inefficiency of usual load flow algorithms because of high r/x ratio and their lack ofconvergence in distrib...

Consider the linear system of equations Bx=f , where B is an N xN singular matrix. In an earlier work [5] by the author it was shown that iterative techniques coupled with standard vector extrapolation methods can be used to obtain (approximations to) a solution of this sys­ tem when it is consistent. In the present work we expand on the approach of [5] to treat the case in which this system is...

Dataclustering is considered an important component of data mining which aims tosplit a given dataset into disjoint groups having the same similarities. Thedeveloped techniques for clustering have some challenges to cluster entities incomplex search space and most them aim maximize sum inter-clusterdistances minimize intra-cluster distances. This objectivefunction nonlinear hard optimize especi...

We study the magnetic-based motion control of a sperm-flagella driven Micro-Bio-Robot (MBR), and demonstrate precise point-to-point closed-loop motion control under the influence of the controlled magnetic field lines. This MBR consists of a bovine spermatozoon that is captured inside Ti/Fe nanomembranes. The nanomembranes are rolled-up into a 50 μm long microtube with a Islam S. M. Khalil and ...