Existenz-, Konvergenz- und Vergleichssätze für verallgemeinerte Riccatische Matrix-Gleichungen

In this thesis two classes of rational matrix differential resp. difference equations which contain the matrix Riccati equations of continuous- and discrete-time optimal control as particular cases are considered. Existence and convergence theorems for these equations are proved and conditions ensuring that the corresponding algebraic equations have a stabilizing solution are derived.

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