The Null Bundle of an Einstein-Riemann Space II: Normed Null Bases

A New Method of Mobile Robot Navigation: Shortest Null Space

In this paper, a new method was proposed for the navigation of a mobile robot in an unknown dynamic environment. The robot could detect only a limited radius of its surrounding with its sensors and it went on the shortest null space (SNS) toward the goal. In the case of no obstacle, SNS was a direct path from the robot to goal; however, in the presence of obstacles, SNS was a space around the r...

A New Method of Mobile Robot Navigation: Shortest Null Space

In this paper, a new method was proposed for the navigation of a mobile robot in an unknown dynamic environment. The robot could detect only a limited radius of its surrounding with its sensors and it went on the shortest null space (SNS) toward the goal. In the case of no obstacle, SNS was a direct path from the robot to goal; however, in the presence of obstacles, SNS was a space around the r...

Comparison of null-space and minimal null-space control algorithms

This paper deals with the stability of null-space velocity control algorithms in extended operational space for redundant robots. We compare the performance of the control algorithm based on the minimal null-space projection and generalized-inverse-based projection into the Jacobian nullspace. We show how the null-space projection affects the performance of the null-space tracking algorithm. Th...

On Ricci Coefficients of Null Hypersurfaces with Time Foliation in Einstein Vacuum Space-time: Part Ii

This paper is the sequel of [9]. We prove several decomposition results which are crucial to the proof of the main result in [9].

Generated the Integer Null Space and Conditions for Determination of an Integer Basis Using the ABS Algorithms