Existence conditions for stabilizing and antistabilizing solutions to the nonautonomous matrix Riccati differential equation. (English) Zbl 0623.34006

Several necessary and sufficient conditions for the existence of stabilizing and antistabilizing solutions of the nonautonomous matrix Riccati differential equation are presened. Some properties of these solutions are investigated. The results are applied to the optimal stabilization problem.


34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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