In this paper, the synchronization of a new hyperchaotic complex system based on T-S fuzzy model is proposed. First, the considered hyperchaotic system is represented by T-S fuzzy model equivalently. Then, by using the parallel distributed compensation (PDC) method and by applying linear system theory and exact linearization (EL) technique, a fuzzy controller is designed to realize the synchron...

In this paper, we will use a modified  variational iteration method (MVIM) for solving an inverse heat conduction problem (IHCP). The approximation of the temperature and the heat flux at  are considered. This method is based on the use of Lagrange multipliers for the identification of optimal values of parameters in a functional in Euclidian space. Applying this technique, a rapid convergent s...

    In this paper, a variational iteration method (VIM), which is a well-known method for solving nonlinear equations, has been employed to solve an inverse parabolic partial differential equation. Inverse problems in partial differential equations can be used to model many real problems in engineering and other physical sciences. The VIM is to construct correction functional using general Lagr...

This paper presents an exact solution method based on a new linearization scheme for the 0-1 Quadratic Knapsack Problem (QKP) which consists of maximizing a quadratic pseudo-Boolean function with non negative coefficients subject to a linear capacity constraint. Contrasting to traditional linearization schemes, our approach only adds one extra variable. We first convert (QKP) into an equivalent...

Zusammenfassung Der Beitrag beschreibt eine exakte E/ALinearisierung für die translatorische Dynamik eines Quadrocopters. Die hierfür relevante Lageinformation reduziert sich auf die Ausrichtung des Schubvektors (bzw. der körperfesten zAchse), welche mit zwei Freiheitsgraden beschrieben werden kann. Hierzu wird im vorliegenden Beitrag ein spezielles Schubachsenquaternion eingeführt. Die E/A-Lin...

This research is concerned with the development of an exact algorithm for a general quadratic assignment problem (QAP), of which the Koopmans-Beckmann formulation, in the context of an analysis of the location of economic activities or facilities, is a special case. The algorithm is based on the linearization of a general QAP of size n into a linear assignment problem of size n(n-l)/2. The obje...

In this paper, the homotopy analysis method has been applied to solve (2 + 1)-dimensional Schrödinger equations. The validity of this method has successfully been accomplished by applying it to find the solution of some of its variety forms. The results obtained by homotopy analysis method have been compared with those of exact solutions. The main objective is to propose alternative methods of ...

“Nonlinear control systems” is a subject that deals with the analysis and the design of nonlinear control systems, i.e., the analysis and the design of control system that contains at least one nonlinear component [1]. The classic methods used in the study of the linear systems, particularly the frequency analysis, are not applicable to nonlinear systems [2]. Thus, different approaches are requ...

In this paper, the Adomian decomposition method (ADM) is applied to obtain the approximate solution of a mathematical model of carcinogenesis which is a Riccati differential equation derived by Moolgavkar and Venzon (see [9]). The numerical solution obtained by this way have been compared with the exact solution which obtained by Moolgavkar and Venzon (see [11]). This comparison show that the (...

In this paper, we present numerical approximation for oscillatory initial value problems (IVPs) using the homotopy analysis algorithm. The convergence of method is discussed and experiments are presented to illustrate computational effectiveness results obtained in good agreement with exact solutions Adomian decomposition (ADM). These show that algorithm introduced here easy apply without linea...