One of the important parameters for determining the discharge through the subsurface system in groundwater engineering is hydraulic conductivity coefficient. This parameters the factor of oil skeleton and fluid properties. The horizontal and vertical components of saturated hydraulic conductivity coefficient can be obtained from the laboratory and field testing methods. Those are usually consta...

Using an idea of Voronoi in the geometric theory of positive definite quadratic forms, we give a transparent proof of John’s characterization of the unique ellipsoid of maximum volume contained in a convex body. The same idea applies to the ‘hard part’ of a generalization of John’s theorem and shows the difficulties of the corresponding ‘easy part’. MSC 2000. 52A21, 52A27, 46B07.

This paper presents novel manipulability analysis for robotic manipulators, taking the effect of generating joint torques on generable joint velocities and vice versa into consideration. The conventional manipulability is analysis in velocity domain and cannot concern force effect such as gravity of payload and external forces exerted on the endeffector. Gravitational force has been regarded th...

This lecture introduces the Ellipsoid Method, the first polynomialtime algorithm to solve LP. We start by discussing the historical significance of its discovery by L. Khachiyan. Next, we argue that the ability to decide the feasibility of a version of the constraints of an LP is as hard as solving the LP. To gather the intuition behind the Ellipsoid Method, we draw an analogy with a problem of...

For T-S fuzzy systems with hard constraints and disturbances modeled by impulses, a constrained H2 control scheme in the framework of LMI (Linear Matrix Inequality) optimization is proposed in this paper. First, the H2 norm is chosen as measurement of disturbance attenuation level, and sufficient conditions for guaranteeing an H2 performance are given. Then, under the bound assumption of the di...