[PDF] Top 20 Generalized B-spline functions ‎method‎‎ for solving optimal control problems

... in B-spline functions, and then describe the relationship between their derivatives required for our subsequent ...proposed method to OCPs, and in Section 5, we report our numerical Examples ... See full document

... use B-spline functions to solve the linear and nonlinear special systems of differential equations associated with the category of obstacle, unilateral, and contact ...an optimal ... See full document

... various optimal control problems [1,3,6, ...embedding method, Rubio [32] proposed a numerical approach for solving optimal control prob- lems of ODE’s and ...proposed ... See full document

... value problems [6, 7]; The Adomian decomposition method is used by Jafari and Daftardar-Gejji to find approximation and positive solution for a kind of fractional boundary value problems with ... See full document

... paper, B-spline finite element method using quadratic B-spline basis functions has been successfully used to develop the solution of lin- ear system of second-order boundary ... See full document

... Iteration Method (PIM) for finding optimal control and its corresponding trajectory of linear ...of functions which converges to the exact solution of ...Iteration Method (VIM) is given ... See full document

... this method, minimum parameters are needed for ...PSO method is one of the new species of evolutionary methods whose application potential in optimization problems with continuous functions ... See full document

... nonlinear optimal control time-delay systems can be reduced to a two-point boundary value problem (TPBVP) involving both delay and ad- vance delay terms, implementing Pontryagin’s maximum principle (PMP); ... See full document

... and solving partial differential equation (PDE), and has significantly impacted many areas of science and ...a method for discretising the nonlinear system equations for ...direct method for ... See full document

... to solving optimal control problems with terminal and phase con- straints is proposed on the basis of constructing and solving a system of conditions for improving admissible ... See full document

... several functions and parameters such as static and moving heating sources, material properties, initial conditions, boundary conditions, optimal shape etc, can be estimated from the inverse problem [11, ... See full document

... the problems, their functional analysis and on control theory have recently been ...the optimal control theory provides the basic techniques for computing the derivatives of criteria ... See full document

... for solving nonlinear con- strained quadratic optimal control ...linear B-spline functions. Also several test problems were used to see the applicability and efficiency of ... See full document

... Wavelet theory is a relatively new and an emerging area in mathematical research [20]. It has been applied in a wide range of engineering disciplines; particularly, wavelets are very successfully used in signal analysis ... See full document

... y b = B y a ′ = γ y b ′ = δ (2) where 0 < < ε 1 , ε is a small positive parameter, p x ( ) and q x ( ) are sufficiently smooth real-valued ...these problems arise very frequently in ... See full document

... investigated via a regularization algorithm. It is proved that the sequence generated in the regularization algorithm converges strongly to a common solution of the three problems in the framework of Hilbert ... See full document

... cubic spline, this factor is determined in such a way that the truncation error of the corresponding scheme for the boundary layer function(s), in the case of constant coefficients, should be equal to ...the ... See full document

... numerical method for solving a one dimentional obstacle problem by using the cubic spline collocation method and the generalized Newton ...equation problems by using the penalty ... See full document

... posed method described in the previous section, we present two numerical ...present method and answers obtained by other ...optimization problems are solved by ... See full document

... In Chapter 6 we described -the SP procedure for solving optimal control problems in distributed parameter systems involving control variables that are distributed... However, many proble[r] ... See full document