, Vol1. No.1, JIC, Journal of Informaiton and Computing Science
نویسندگان
چکیده
In this paper an iterative method based on shifted Legendre polynomials is presented to obtain the approximate solutions of optimal control problems subject to integral equations. The operational matrices of integration and product of shifted Legendre polynomials for solving integral equation is employed. The methodology is based on the parametrization of control and state functions. This converted the problem to nonlinear optimization problem in any iteration. In addition, some numerical examples are presented to illustrate the accuracy and efficiency of the proposed method.
منابع مشابه
, Vol1. No.1, JIC, Journal of Informaiton and Computing Science
A new method for the solution of the generalized complementarily problem is introduced. The method is based on a no smooth equation reformulation of the generalized complementarily problem and on a no smooth Levenberg-Marquardt method for its solution. The method is shown to be globally convergent. Numerical results are also given.
متن کامل, Vol1. No.1, JIC, Journal of Informaiton and Computing Science
In this paper, based on Lyapunov stability theory, a scheme to realize finite-time hybrid synchronization of time-delay hyperchaotic Lorenz system is proposed. By theoretical analysis, the controllers are constructed. Finally, numerical simulations are given to verify the theoretical results.
متن کامل, Vol1. No.1, JIC, Journal of Informaiton and Computing Science
Abstract. This paper firstly introduces the chaotic system Newton---Leipnik system which possesses two strange attractors.Effective adaptive controllers are proposed for stabilizing chaos to unstable equilibria. In addition, Chaos synchronizations achieved by employing active control scheme. Numerical simulations are provided to verify the feasibility and effectiveness, so the result of the con...
متن کامل, Vol1. No.1, JIC, Journal of Informaiton and Computing Science
Abstract. In this paper, a method is employed to approximate the solution of two-dimensional nonlinear Volterra integro-differential equations (2DNVIDEs) with supplementary conditions. First, we introduce twodimensional Legendre polynomials, then convert 2DNVIDEs to the two-dimensional linear Volterra integrodifferential equations (2DLVIDEs). Using this properties and collocation points, reduce...
متن کامل, Vol1. No.1, JIC, Journal of Informaiton and Computing Science
Fuzzy logic is a new scientific field which is employed in mathematics, computer science and Engineering. Fuzzy logic calculates the extent to which a proposition is correct and allows computer to manipulate the information. The aim of this paper is to prove some common fixed point theorems using the property E.A. in the setting of G-metric and Fuzzy metric space by taking a set of three condit...
متن کامل, Vol1. No.1, JIC, Journal of Informaiton and Computing Science
(Received July 12, 2009, accepted September 3, 2009) Abstract. In this paper we consider a numerical approach for the determination of an unknown boundary condition in the inverse heat conduction problem (IHCP). The given heat conduction equation, the boundary condition, and the initial condition are presented in a dimensionless form. The numerical algorithm based on finite-difference method an...
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