The differential matrix Riccati equation with periodic coefficients is considered. It is shown by means of a counter-example that a sufficient condition for the existence of an infinite number of periodic non-negative definite solutions given in a previous paper is not appropriately stated. A suitable adjustment of the assumptions allows one to work out rigorous sufficient conditions. Thanks to these results, a necessary and sufficient condition for the existence of the periodic strong solution, which relied on the incorrect condition, can be shown to be still valid.

DIFFERENTIAL PERIODIC RICCATI-EQUATIONS - A NOTE ON THE EXISTENCE OF AN INFINITE NUMBER OF PERIODIC STRONG SOLUTIONS

DE NICOLAO, GIUSEPPE
1992-01-01

Abstract

The differential matrix Riccati equation with periodic coefficients is considered. It is shown by means of a counter-example that a sufficient condition for the existence of an infinite number of periodic non-negative definite solutions given in a previous paper is not appropriately stated. A suitable adjustment of the assumptions allows one to work out rigorous sufficient conditions. Thanks to these results, a necessary and sufficient condition for the existence of the periodic strong solution, which relied on the incorrect condition, can be shown to be still valid.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/461836
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