Some Schrödinger-type inequalities for stabilization of discrete linear systems associated with the stationary Schrödinger operator
Abstract By applying some Schrödinger-type inequalities developed by Huang (Int. J. Math. 27(2):1650009, 2016), we are concerned with stabilization of discrete linear systems associated with the Schrödinger operator. Our first aim is to prove a state-dependent switching law associated with the Schrö...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-10-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1180-3 |
| _version_ | 1818423078615515136 |
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| author | Zongcai Jiang |
| author_facet | Zongcai Jiang |
| author_sort | Zongcai Jiang |
| collection | DOAJ |
| description | Abstract By applying some Schrödinger-type inequalities developed by Huang (Int. J. Math. 27(2):1650009, 2016), we are concerned with stabilization of discrete linear systems associated with the Schrödinger operator. Our first aim is to prove a state-dependent switching law associated with the Schrödinger operator, which is based on a convex combination. Next, we derive sufficient conditions associated with the Schrödinger operator that guarantee the uniform exponential stability of the system. Finally, we propose a necessary and sufficient condition for the stability of a system with two Schrödinger subsystems. |
| first_indexed | 2024-12-14T13:36:26Z |
| format | Article |
| id | doaj.art-114f9bbafab34c71aeb5eeba3177061e |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-14T13:36:26Z |
| publishDate | 2016-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-114f9bbafab34c71aeb5eeba3177061e2022-12-21T22:59:34ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-10-01201611810.1186/s13660-016-1180-3Some Schrödinger-type inequalities for stabilization of discrete linear systems associated with the stationary Schrödinger operatorZongcai Jiang0School of Mathematics and Information Science, Henan University of Economics and LawAbstract By applying some Schrödinger-type inequalities developed by Huang (Int. J. Math. 27(2):1650009, 2016), we are concerned with stabilization of discrete linear systems associated with the Schrödinger operator. Our first aim is to prove a state-dependent switching law associated with the Schrödinger operator, which is based on a convex combination. Next, we derive sufficient conditions associated with the Schrödinger operator that guarantee the uniform exponential stability of the system. Finally, we propose a necessary and sufficient condition for the stability of a system with two Schrödinger subsystems.http://link.springer.com/article/10.1186/s13660-016-1180-3Schrödinger-type inequalitiesstabilizationstationary Schrödinger operator |
| spellingShingle | Zongcai Jiang Some Schrödinger-type inequalities for stabilization of discrete linear systems associated with the stationary Schrödinger operator Journal of Inequalities and Applications Schrödinger-type inequalities stabilization stationary Schrödinger operator |
| title | Some Schrödinger-type inequalities for stabilization of discrete linear systems associated with the stationary Schrödinger operator |
| title_full | Some Schrödinger-type inequalities for stabilization of discrete linear systems associated with the stationary Schrödinger operator |
| title_fullStr | Some Schrödinger-type inequalities for stabilization of discrete linear systems associated with the stationary Schrödinger operator |
| title_full_unstemmed | Some Schrödinger-type inequalities for stabilization of discrete linear systems associated with the stationary Schrödinger operator |
| title_short | Some Schrödinger-type inequalities for stabilization of discrete linear systems associated with the stationary Schrödinger operator |
| title_sort | some schrodinger type inequalities for stabilization of discrete linear systems associated with the stationary schrodinger operator |
| topic | Schrödinger-type inequalities stabilization stationary Schrödinger operator |
| url | http://link.springer.com/article/10.1186/s13660-016-1180-3 |
| work_keys_str_mv | AT zongcaijiang someschrodingertypeinequalitiesforstabilizationofdiscretelinearsystemsassociatedwiththestationaryschrodingeroperator |