Geometric programming relaxations for linear system reachability

@article{Yazarel2004GeometricPR,
  title={Geometric programming relaxations for linear system reachability},
  author={Hakan Yazarel and G. Pappas},
  journal={Proceedings of the 2004 American Control Conference},
  year={2004},
  volume={1},
  pages={553-559 vol.1}
}
One of the main obstacles in the safety analysis of continuous and hybrid systems has been the computation of the reachable set for continuous systems in high dimensions. We present a novel method that exploits the structure of linear dynamical systems, and the monotonicity of the exponential function in order to obtain safety certificates of continuous linear systems. By over-approximating the sets of initial and final states, the safety verification problem is expressed as a series of… CONTINUE READING
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