Global aspects of the matrix Riccati equation

@article{Schneider1973GlobalAO,
  title={Global aspects of the matrix Riccati equation},
  author={C. R. Schneider},
  journal={Mathematical systems theory},
  year={1973},
  volume={7},
  pages={281-286}
}
Matrix Riccati equations are interpreted as differential equations on Grassman manifolds. Necessary conditions for the Riccati equation to be a Morse-Smale system are given in the autonomous and periodic cases. Under this condition, the equation is structurally stable and has a unique asymptotically stable equilibrium point or periodic solution. 

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