Compositional Abstraction-Based Synthesis for Interconnected Systems: An Approximate Composition Approach

@article{Saoud2021CompositionalAS,
  title={Compositional Abstraction-Based Synthesis for Interconnected Systems: An Approximate Composition Approach},
  author={Adnane Saoud and Pushpak Jagtap and Majid Zamani and Antoine Girard},
  journal={IEEE Transactions on Control of Network Systems},
  year={2021},
  volume={8},
  pages={702-712}
}
In this article, we focus on mitigating the computational complexity in abstraction-based controller synthesis for interconnected control systems. To do so, we provide a compositional framework for the construction of abstractions for interconnected systems and a bottom-up controller synthesis scheme. In particular, we propose a notion of approximate composition which makes it possible to compute an abstraction of the global interconnected system from the abstractions (possibly of different… 
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