eprintid: 14019 rev_number: 5 eprint_status: archive userid: 5 dir: disk0/00/01/40/19 datestamp: 2016-11-29 14:10:09 lastmod: 2021-08-27 17:28:08 status_changed: 2016-11-29 14:10:09 type: article metadata_visibility: show item_issues_count: 2 creators_name: Casti, J. creators_id: 974 title: New equations for the time-dependent regulator problem ispublished: pub divisions: prog_sds abstract: This correspondence presents a derivation of an alternate set of equations for determination of the optimal feedback gain matrix for the time-dependent linear regulator problem. In contrast to the usual Riccati equation approach, the new system is composed of onlynmequations, wheremis the number of systems input terminals. As payment for this reduction in number of equations, however, the new system is not entirely general, being restricted to constant control matricesG, with arbitrary dynamics and cost matricesFandQ, respectively. date: 1975-08 date_type: published publisher: IEEE id_number: 10.1109/TAC.1975.1101012 creators_browse_id: 1179 full_text_status: none publication: IEEE Transactions on Automatic Control volume: 20 number: 4 pagerange: 558-558 refereed: TRUE issn: 0018-9286 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/article citation: Casti, J. (1975). New equations for the time-dependent regulator problem. IEEE Transactions on Automatic Control 20 (4) p. 558. 10.1109/TAC.1975.1101012 .