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EnglishThe 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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| Titolo: | DIFFERENTIAL PERIODIC RICCATI-EQUATIONS - A NOTE ON THE EXISTENCE OF AN INFINITE NUMBER OF PERIODIC STRONG SOLUTIONS | |
| Autori: | ||
| Data di pubblicazione: | 1992 | |
| Rivista: | ||
| 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. | |
| Handle: | http://hdl.handle.net/11571/461836 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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