A simple PS adaptive integral sliding mode controller is designed for the pitch channel linear model of supersonic missile firstly. In order to improve the performance of the proposed method, two improvements also proposed. Finally, a hybrid PISS adaptive control is formed which contains proportion control, integration control, the sign function adn soft function. Also nurmerical simulations ar...

the principal aim of this paper is to serve the numerical solution of an integral-algebraic equation (iae) by using the bernoulli polynomials and the residual correction method. after implementation of our scheme, the main problem would be transformed into a system of algebraic equations such that its solutions are the unknown bernoulli coefficients. thismethod gives an analytic solution when t...

the inverse problem of identifying an unknown source control param- eter in a semilinear parabolic equation under an integral overdetermina- tion condition is considered. the series pattern solution of the proposed problem is obtained by using the weighted homotopy analysis method (wham). a description of the method for solving the problem and nding the unknown parameter is derived. finally, tw...

(a) Draw the Feynman diagram which gives the leading contribution to the process φφ→ φφ. (b) Derive the correct sign of the amplitude by considering the relevant matrix elements of powers of the interaction hamiltonian. (c) Evaluate the diagram in terms of a spinor trace and a momentum integral. Do not do the momentum integral. Suppose that the integral is cutoff at large k by some cutoff Λ. Es...

In this article, the anti-plane deformation of an orthotropic sector with multiple defects is studied analytically. The solution of a Volterra-type screw dislocation problem in a sector is first obtained by means of a finite Fourier cosine transform. The closed form solution is then derived for displacement and stress fields over the sector domain. Next, the distributed dislocation method is em...

In this note, we prove a blow-up result for the semilinear damped wave equation in compact Lie group with power nonlinearity $|u|^p$ any $p>1$, under suitable integral sign assumptions initial data, by using an iteration argument. A byproduct of method is upper bound estimate lifespan local time solution. As preliminary result, (in time) existence proved energy space via Fourier analysis on gro...

Motion trajectories provide a key and informative clue in motion characterization of humans, robots and moving objects. In this paper, we propose some new integral invariants for space motion trajectories, which benefit effective motion trajectory matching and recognition. Integral invariants are defined as the line integrals of a class of kernel functions along a motion trajectory. A robust es...

OBJECTIVE To correlate supraclavicular ultrasonography at rest and in hyperaemic response with angiographically patent and (distal) 'string sign' left internal mammary artery (LIMA) to left anterior descending (LAD) area grafts. METHODS Fifty-three patients with LIMA to LAD area grafting were prospectively entered in a follow-up study. Arteriography (native and LIMA) was performed at 1.4+/-0....

1. A. Aksoy and M. Martelli, Mixed partial derivatives and Fubini’s theorem, College Math. J. 33 (2002) 126–130. 2. D. D. Ang, K. Schmitt, and L. K. Vy, A multidimensional analogue of the Denjoy-Perron-HenstockKurzweil integral, Bull. Belg. Math. Soc. Simon Stevin 4 (1997) 355–371. 3. M. W. Botsko, An elementary proof that a bounded a.e. continuous function is Riemann integrable, this MONTHLY 6...