On the Bose-Trautman condition for stability of two-dimensional linear systems

@article{Su1998OnTB,
  title={On the Bose-Trautman condition for stability of two-dimensional linear systems},
  author={Yangfeng Su and Amit Bhaya},
  journal={IEEE Trans. Signal Processing},
  year={1998},
  volume={46},
  pages={2069-2070}
}
In this correspondence, we give a counterexample that shows that the Bose–Trautman condition for the stability of 2-D linear models is incorrect. The correction and equivalent conditions are given, together with simple proofs from non-negative matrix theory.