The Design of State-Dependent Switching Rules for Second-Order Switched Linear Systems Revisited
This paper focuses on the asymptotic stability of second-order switched linear systems with positive real part conjugate complex roots for each subsystem. Compared with available studies, a more appropriate state-dependent switching rule is designed to stabilize a switched system with the phase traj...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/11/10/566 |
| _version_ | 1797475245798457344 |
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| author | Xiaolan Yuan Yusheng Zhou |
| author_facet | Xiaolan Yuan Yusheng Zhou |
| author_sort | Xiaolan Yuan |
| collection | DOAJ |
| description | This paper focuses on the asymptotic stability of second-order switched linear systems with positive real part conjugate complex roots for each subsystem. Compared with available studies, a more appropriate state-dependent switching rule is designed to stabilize a switched system with the phase trajectories of two subsystems rotating outward in the same direction or the opposite direction. Finally, several numerical examples are used to illustrate the effectiveness and superiority of the proposed method. |
| first_indexed | 2024-03-09T20:42:22Z |
| format | Article |
| id | doaj.art-007c665e09444ebd9c7e148216d089f5 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T20:42:22Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-007c665e09444ebd9c7e148216d089f52023-11-23T22:54:26ZengMDPI AGAxioms2075-16802022-10-01111056610.3390/axioms11100566The Design of State-Dependent Switching Rules for Second-Order Switched Linear Systems RevisitedXiaolan Yuan0Yusheng Zhou1School of Mathematics and Statistics, Guizhou University, Guiyang 550025, ChinaSchool of Mathematics and Statistics, Guizhou University, Guiyang 550025, ChinaThis paper focuses on the asymptotic stability of second-order switched linear systems with positive real part conjugate complex roots for each subsystem. Compared with available studies, a more appropriate state-dependent switching rule is designed to stabilize a switched system with the phase trajectories of two subsystems rotating outward in the same direction or the opposite direction. Finally, several numerical examples are used to illustrate the effectiveness and superiority of the proposed method.https://www.mdpi.com/2075-1680/11/10/566switched systemunstable subsystemasymptotic stabilitystate-dependent switching rule |
| spellingShingle | Xiaolan Yuan Yusheng Zhou The Design of State-Dependent Switching Rules for Second-Order Switched Linear Systems Revisited Axioms switched system unstable subsystem asymptotic stability state-dependent switching rule |
| title | The Design of State-Dependent Switching Rules for Second-Order Switched Linear Systems Revisited |
| title_full | The Design of State-Dependent Switching Rules for Second-Order Switched Linear Systems Revisited |
| title_fullStr | The Design of State-Dependent Switching Rules for Second-Order Switched Linear Systems Revisited |
| title_full_unstemmed | The Design of State-Dependent Switching Rules for Second-Order Switched Linear Systems Revisited |
| title_short | The Design of State-Dependent Switching Rules for Second-Order Switched Linear Systems Revisited |
| title_sort | design of state dependent switching rules for second order switched linear systems revisited |
| topic | switched system unstable subsystem asymptotic stability state-dependent switching rule |
| url | https://www.mdpi.com/2075-1680/11/10/566 |
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