Exact penalty functions for optimal control problems I: Main theorem and free‐endpoint problems
نویسندگان
چکیده
منابع مشابه
Generalized B-spline functions method for solving optimal control problems
In this paper we introduce a numerical approach that solves optimal control problems (OCPs) using collocation methods. This approach is based upon B-spline functions. The derivative matrices between any two families of B-spline functions are utilized to reduce the solution of OCPs to the solution of nonlinear optimization problems. Numerical experiments confirm our heoretical findings.
متن کاملExact Penalty Functions for Nonlinear Integer Programming Problems
Abstract In this work, we study exact continuous reformulations of nonlinear integer programming problems. To this aim, we preliminarily state conditions to guarantee the equivalence between pairs of general nonlinear problems. Then, we prove that optimal solutions of a nonlinear integer programming problem can be obtained by using various exact penalty formulations of the original problem in a...
متن کاملgeneralized b-spline functions method for solving optimal control problems
in this paper we introduce a numerical approach that solves optimal control problems (ocps)using collocation methods. this approach is based upon b-spline functions.the derivative matrices between any two families of b-spline functions are utilized toreduce the solution of ocps to the solution of nonlinear optimization problems.numerical experiments confirm our theoretical findings.
متن کاملNoether’s Theorem for Fractional Optimal Control Problems
We begin by reporting on some recent results of the authors (Frederico and Torres, 2006), concerning the use of the fractional Euler-Lagrange notion to prove a Noether-like theorem for the problems of the calculus of variations with fractional derivatives. We then obtain, following the Lagrange multiplier technique used in (Agrawal, 2004), a new version of Noether’s theorem to fractional optima...
متن کاملA New Optimal Solution Concept for Fuzzy Optimal Control Problems
In this paper, we propose the new concept of optimal solution for fuzzy variational problems based on the possibility and necessity measures. Inspired by the well–known embedding theorem, we can transform the fuzzy variational problem into a bi–objective variational problem. Then the optimal solutions of fuzzy variational problem can be obtained by solving its corresponding biobjective variatio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Optimal Control Applications and Methods
سال: 2019
ISSN: 0143-2087,1099-1514
DOI: 10.1002/oca.2530