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要旨:
This work intends to analyze the features of one approach in the field of hybrid systems when applied to a challenging problem in the control theory
community: the swing-up of an inverted pendulum. Therefore, more than just trying to solve the problem, this project aims at providing a good portrait of the characteristics of the l-complete approximation approach. Hopefully, the following results will be useful both by facilitating the use of the referred approach to solve problems (through the development of a software) and also by identifying some theoretical questions (through either quantitative results or speculations around the theory) which may be of crucial importance in order to solve real world problems.