the purpose of this paper is to study the higher order asymptotic distributions of the eigenvalues associated with a class of sturm-liouville problem with equation of the form w??=(?2f(x)?r(x)) (1), on [a,b, where ? is a real parameter and f(x) is a real valued function in c2(a,b which has a single zero (so called turning point) at point 0x=x and r(x) is a continuously differentiable function. ...

This paper considers real-time obstacle avoidance control of a two-wheeled nonholonomic mobile robot. In this paper, we propose a discontinuous asymptotic stabilizing state feedback control law for a real-time obstacle avoidance problem via the minimum projection method. The method guarantees asymptotic stability and reduces the computational cost. The effectiveness of the proposed method is co...