[PDF] Top 20 An application of differential transform method for solving nonlinear optimal control problems

... Optimal control problems arise in a wide variety of scientific and engineering ap- plications including physics, aerospace engineering, robotics, chemical engineering, economy, ...many optimal ... See full document

... Many problems in mathematical physics, theoretical phys- ics, chemical physics and theoretical biology are modeled by the so-called initial value and boundary value pro- blems in the second-order nonlinear ... See full document

... the Differential Transform Method (DTM) as an alternative to existing methods for solving this class of ...main application concern with both linear and nonlinear initial value ... See full document

... on application of DTM to the study in epidemiology are that of Ibrahim and Ismail [11] proposed a new modification of the DTM to study a SIRC influenza model in which new initial conditions and parameter values ... See full document

... the application of differential transform method to the proposed model and to verify the validity of the method in solving the model equations using computer in- built Maple 18 ... See full document

... decomposition method [2] was introduced, which is an exceptionally effective and powerful method for solving linear and nonlinear problems in various ...of problems with easy way ... See full document

... k j x t  M j x N j t , j  1, 2 . Five different problems are solved to make clear the application of the DTM on such class of integro-differential equations. We introduce theorems in general forms ... See full document

... Fractional Differential Equations and Application-Oriented Exposition Using Differential Operators of Caputo Type",Springer-Verlag Berlin Heidelberg, ...M.," Application of ... See full document

... of problems arising in analysis, mechanics, geometry, and so forth, it is necessary to determine the maximal and minimal of a certain ...of problems. It is well known that generally optimal ... See full document

... solve nonlinear optimal control ...converts nonlinear optimal control problems to a sequence of time- varying optimal control problems which are ... See full document

... approximate optimal solutions of the following three nonlinear optimal control problems by solving linear programming (LP) problem (8), via simplex method ...the ... See full document

... for solving a class of optimal control problems containing non- linear dynamical system and functional of state ...numerical method consists of two major ...the nonlinear ... See full document

... the application of approximate analytical techniques in solving the TPBVP obtained from the ...iteration method (VIM) for linear quadratic ...proposed method is important for its analytical ... See full document

... The BFGS method named after Broyden, Fletcher, Goldfarb and Shanno who discovered it in 1970. It is numerically stable and has a very effective “self-correcting properties” account for its superior performance in ... See full document

... contact problems for bodies with complex features (Aleksandrov ...two-dimensional differential transform for double integrals has been promoted to solve NLTD-VIE (Tari ...for solving mixed ... See full document

... In the last three decades numerous works have been focusing on the development of more advanced and effi- cient methods for stiff problems [1,2]. The situation be- comes more complicated when stiffness coupled ... See full document

... use control parametriza- tion to convert continuous problems to discrete problems, so they may have less ...local optimal, ...value problems (TBVP) and then it can be solved by ... See full document

... Optimal control problems arise in a wide variety of dis- ciplines. optimal control theory has also been used with great success in areas as diverse as economics to biome- dicine ... See full document

... Reduced differential transform method (RDTM), which does not need small parameter in the equation is implemented for solving the sine-Gordon ...modeling problems from mathematical ... See full document

... approximation method for solving linear and nonlinear problems and at beginning it was proposed for solving nonlinear fractional differential equations [6], by modifying ... See full document