Let A be a bounded linear operator on a Banach space X. We investigate the conditions of existing rank-one operator B such that I+f(A)B is invertible for every analytic function f on sigma(A). Also we compare the invariant subspaces of f(A)B and B. This work is motivated by an operator method on the Banach space ell^2 for solving some PDEs which is extended to general operator space under some ...

Rater maps are widely available for many areas around the globe. The road network that commonly exists in raster maps is an important source of road vector data for the areas for which road vectors are not readily available. To extract the road vector data from raster maps, the first step is to extract the pixels that represent roads from the raster maps (i.e., the road raster layers in the ras...

This paper reports an enhanced energy operator (EEO) method to detect bearing faults. This new energy operator exploits both the interference handling capability of a differentiation step and the noise suppression nature of the integration process. All these elements, i.e., differentiation, integration and energy operator, are implemented by a simple formula in one step. The main advantages of ...

In this paper, we prove some fixed points properties and demiclosedness principle for a Banach operator in uniformly convex hyperbolic spaces. We further propose an iterative scheme for approximating a fixed point of a Banach operator and establish some strong and $Delta$-convergence theorems for such operator in the frame work of uniformly convex hyperbolic spaces. The results obtained in this...

We study how a human operator can guide a swarm of robots when transporting a large object through an environment with obstacles. The operator controls a leader robot that influences the other robots of the swarm. Follower robots push the object only if they have no line of sight of the leader. The leader represents a way point that the object should reach. By changing its position over time, t...

Abstract. The Stieltjes–Wigert polynomials, which correspond to an indeterminate moment problem on the positive half-line, are eigenfunctions of a second order q-difference operator. We consider the orthogonality measures for which the difference operator is symmetric in the corresponding weighted L-spaces. Under some additional assumptions these measures are exactly the solutions to the q-Pear...

In this paper, applying two theorems of Ricceri and Bonanno, we will establish the existence of three weak solutions for a quasilinear elliptic system. Indeed, we will assign a differentiable nonlinear operator to a differential equation system such that the critical points of this operator are weak solutions of the system. In this paper, applying two theorems of R...

under the smart grid environments, demand response resources (drrs) as power system resources can effectively participate in and improve performance of electric systems. congestion management is one of the technical challenges in which drrs can play a significant role. previously, congestion management is applied without considering the power system uncertainties. therefore, a stochastic conges...

In this paper a control architecture and system is proposed which allows human supervisory for teleoperators in a time delayed environment. The integrated operation concept defines two phases. The first phase is alternatively an automatic or operator driven "preparation" phase, including off-line planning facilities with real-time simulation on 3D computer graphics for verification of robust op...

A new operator for restoring digital images corrupted by impulse noise is presented. The proposed operator is a hybrid filter obtained by appropriately combining a new decision based switching median filter Canny Edge Detector and a Adaptive Neuro-Fuzzy Inference System (ANFIS). The internal parameters of the neuro-fuzzy network are adaptively optimized by training. The most distinctive feature...