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Optimal formation of robots is one of the most important and interesting topics in the fields of robotics, multi-agents, intelligent control and evolutionary computation, etc. The objective of this paper is mainly to discuss the formation problems by solving the Lagrangian method when the number of robots is only equal to 3 and the number of constraints is larger than 1. The considered objective function...
This paper mainly provides and develops a new continuous-discrete PSO algorithm for handling with the optimal formation problem in the three dimensional space. For one class of formation problem with the particular constraints, it is shown that the center of the desired shape is determined and equal to the center of the initial shape by utilizing the Lagrangian method. From the perspective of efficiency,...
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