Abstract
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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Schneider, C.R. Global aspects of the matrix Riccati equation. Math. Systems Theory 7, 281–286 (1973). https://doi.org/10.1007/BF01795945
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DOI: https://doi.org/10.1007/BF01795945