Flying insects perform active flight control with flapping wings by continuously adjusting their wing kinematics in stabilizing the body posture to stay aloft under complex natural environment. While Proportional Derivative (PD) / Integral (PID)-based algorithms have been applied examine specific single degree of freedom (DoF) and/or 3 DoF associated insect flights, a full 6 strategy remains ye...

In this paper, we establish the existence and uniqueness result of the linear Schrodinger equation with Marchaud fractional derivative in Colombeau generalized algebra. The purpose of introducing Marchaud fractional derivative is regularizing it in Colombeau sense.

in this paper, we establish the existence and uniqueness result of the linear schrodinger equation with marchaud fractional derivative in colombeau generalized algebra. the purpose of introducing marchaud fractional derivative is regularizing it in colombeau sense.

Abstract. We prove that for every function f : X → Y , where X is a separable Banach space and Y is a Banach space with RNP, there exists a set A ∈ Ã such that f is Gâteaux differentiable at all x ∈ S(f) \ A, where S(f) is the set of points where f is pointwise-Lipschitz. This improves a result of Bongiorno. As a corollary, we obtain that every K-monotone function on a separable Banach space is...

Map of geological cross section is the most intuitive expression strata in vertical direction. Realizing automatic filling lithologic patterns and reflecting changes stratum curvature are important contents map drawing. The traditional pattern method can not show change rock dip angle. To solve this problem, an algorithm drawing based on arc fitting proposed. By analyzing mathematical relations...

the aim of this paper is to study the high order difference scheme for the solution of a fractional partial differential equation (pde) in the electroanalytical chemistry. the space fractional derivative is described in the riemann-liouville sense. in the proposed scheme we discretize the space derivative with a fourth-order compact scheme and use the grunwald- letnikov discretization of the ri...

Adhesion state is a key factor affecting the motion stability of wall-climbing robot. According to different adhesion states, there no universal method for compliant detachment. We propose an online impedance strategy controlling peeling angle realize movement. Variable motions are achieved by tuning stiffness and damping parameters proportional-derivative control, which realizes detachment wit...

Abstract We consider a linear system that consists of wave equation on horizontal hypersurface and parabolic in the half space below. The model describes longitudinal elastic waves organic monolayers at water–air interface, which is an experimental setup relevant for understanding propagation biological membranes. study scaling regime where length scale much larger than vertical provide rigorou...