Finite Abstractions of Discrete-time Linear Systems and Its Application to Optimal Control

@inproceedings{Tazaki2008FiniteAO,
  title={Finite Abstractions of Discrete-time Linear Systems and Its Application to Optimal Control},
  author={Yuichi Tazaki and J. Imura},
  year={2008}
}
Optimal control and reachability analysis of continuous-state systems often require computational algorithms with high complexity. The use of finite abstractions of continuous-state systems reduces such problems to path-planning problems on directed graphs with a finite number of nodes, which can be computed efficiently. In this research, we propose a method to design an approximately bisimilar finite abstraction of stabilizable discrete-time linear systems, considering the minimization of the… CONTINUE READING
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