کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4637194 1340736 2006 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Iterative dynamic programming for solving linear and nonlinear differential equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Iterative dynamic programming for solving linear and nonlinear differential equations
چکیده انگلیسی
In this paper we solve a wide range of nth order ordinary nonlinear differential equations with initial conditions by using iterative dynamic programming. First we transform the problem to a first order system of ordinary nonlinear differential equations, and then transform it to an optimal control problem. By the optimal solution of the problem we obtain a piecewise-constant optimal control function and then by using the approximate control signals, we obtain the approximate optimal trajectory. Finally, we calculate the error functional E.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 175, Issue 1, 1 April 2006, Pages 247-257
نویسندگان
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