A game theoretic approach to controller design for hybrid systems

@article{Tomlin2000AGT,
  title={A game theoretic approach to controller design for hybrid systems},
  author={Claire J. Tomlin and John Lygeros and S. Shankar Sastry},
  journal={Proceedings of the IEEE},
  year={2000},
  volume={88},
  pages={949-970}
}
We present a method to design controllers for safety specifications in hybrid systems. The hybrid system combines discrete event dynamics with nonlinear continuous dynamics: the discrete event dynamics model linguistic and qualitative information and naturally accommodate mode switching logic, and the continuous dynamics model the physical processes themselves, such as the continuous response of an aircraft to the forces of aileron and throttle. Input variables model both continuous and… 

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