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Mathematical Problems in Engineering
Volume 2014, Article ID 268541, 9 pages
Research Article

Optimal Control of Switching Topology Networks

1Department of Electrical and Electronics Engineering, National University of Colombia, Carrera 30, No. 45-03, Bogotá, Colombia
2Departamento de Ingeniería Eléctrica y Electrónica, Universidad de Los Andes, Carrera 1, No. 18A-12, Bogotá, Colombia
3Programa de Ingeniería Electrónica y Telecomunicaciones, Universidad Católica de Colombia, Avenida Caracas, No. 46-72, Bogotá, Colombia

Received 24 March 2014; Revised 20 June 2014; Accepted 21 June 2014; Published 7 July 2014

Academic Editor: Kh. S. Mekheimer

Copyright © 2014 Eduardo Mojica-Nava et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present an extension of a previously proposed approach based on the method of moments for solving the optimal control problem for a switching system considering now a continuous external input. This method is based on the transformation of a nonlinear, nonconvex optimal control problem, into an equivalent optimal control problem with linear and convex structure, which allows us to obtain an equivalent convex formulation more appropriate to be solved by high-performance numerical computing. Finally, the design of optimal logic-based controllers for networked systems with a dynamic topology is presented as an application of this work.