On a successive approximation technique in solving some control system optimization problems

A Novel Successive Approximation Method for Solving a Class of Optimal Control Problems

This paper presents a successive approximation method (SAM) for solving a large class of optimal control problems. The proposed analytical-approximate method, successively solves the Two-Point Boundary Value Problem (TPBVP), obtained from the Pontryagin's Maximum Principle (PMP). The convergence of this method is proved and a control design algorithm with low computational complexity is present...

Optimization and Approximation Problems Related to Polynomial System Solving

A Successive Approximation Algorithm for Coordination Problems

Developing scalable coordination algorithms for multi-agent systems is a hard computational challenge. One useful approach, demonstrated by the Coverage Set Algorithm (CSA), exploits structured interaction to produce significant computational gains. Empirically, CSA exhibits very good anytime performance, but an error bound on the results has not been established. We reformulate the algorithm a...

Successive approximation methods for the solution of optimal control problems

IN THIS paper we present some successive approximation methods for the solution of a general class of optimal control problems. The class of problems considered is known as the Bolxa Problem in the Calculus of Variations [l]. The algorithms considered are extensions of the gradient methods due to KELLEY [2] and BRYSON [3] and similar to the methods proposed by MIRIAM [4, s]. MERRIAM approaches ...

Some Iterative Methods for Solving Equilibrium Problems and Optimization Problems

We introduce a new iterative scheme for finding a common element of the set of solutions of the equilibrium problems, the set of solutions of variational inequality for a relaxed cocoercive mapping, and the set of fixed points of a nonexpansive mapping. The results presented in this paper extend and improve some recent results of Ceng and Yao 2008 , Yao 2007 , S. Takahashi andW. Takahashi 2007 ...