Finite-Time <em>H</em><sub>∞</sub> Static Output Feedback Control for Itô Stochastic Markovian Jump Systems
This paper focuses on the problem of finite-time <inline-formula><math display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> static output feedback control for <inline-for...
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MDPI AG
2020-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/10/1709 |
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| author | Liu Xikui Teng Yapeng Li Yan |
| author_facet | Liu Xikui Teng Yapeng Li Yan |
| author_sort | Liu Xikui |
| collection | DOAJ |
| description | This paper focuses on the problem of finite-time <inline-formula><math display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> static output feedback control for <inline-formula><math display="inline"><semantics><mrow><mi>I</mi><mi>t</mi><mover accent="true"><mi>o</mi><mo>^</mo></mover></mrow></semantics></math></inline-formula> stochastic systems with Markovian jumps (MJs). First of all, by introducing a new state vector and a novel signal, several sufficient conditions for the existence of static output feedback controllers are established for the considered systems with completely known transition rates (CKTRs) and partially known transition rates (PKTRs), respectively. Then the static output feedback controllers are designed via solving linear matrix inequalities (LMIs), which ensure the closed-loop systems are stochastic <inline-formula><math display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> finite-time boundedness. The validity of the developed method was demonstrated through two examples. |
| first_indexed | 2024-03-10T15:50:56Z |
| format | Article |
| id | doaj.art-a7dd08de29d648dd9a2cfaee007c5fdd |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T15:50:56Z |
| publishDate | 2020-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-a7dd08de29d648dd9a2cfaee007c5fdd2023-11-20T16:02:49ZengMDPI AGMathematics2227-73902020-10-01810170910.3390/math8101709Finite-Time <em>H</em><sub>∞</sub> Static Output Feedback Control for Itô Stochastic Markovian Jump SystemsLiu Xikui0Teng Yapeng1Li Yan2College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaSchool of Computer Science, Qufu Normal University, Rizhao 276826, ChinaThis paper focuses on the problem of finite-time <inline-formula><math display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> static output feedback control for <inline-formula><math display="inline"><semantics><mrow><mi>I</mi><mi>t</mi><mover accent="true"><mi>o</mi><mo>^</mo></mover></mrow></semantics></math></inline-formula> stochastic systems with Markovian jumps (MJs). First of all, by introducing a new state vector and a novel signal, several sufficient conditions for the existence of static output feedback controllers are established for the considered systems with completely known transition rates (CKTRs) and partially known transition rates (PKTRs), respectively. Then the static output feedback controllers are designed via solving linear matrix inequalities (LMIs), which ensure the closed-loop systems are stochastic <inline-formula><math display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> finite-time boundedness. The validity of the developed method was demonstrated through two examples.https://www.mdpi.com/2227-7390/8/10/1709finite-timestatic output feedbackmarkovian jumpstochastic system |
| spellingShingle | Liu Xikui Teng Yapeng Li Yan Finite-Time <em>H</em><sub>∞</sub> Static Output Feedback Control for Itô Stochastic Markovian Jump Systems Mathematics finite-time static output feedback markovian jump stochastic system |
| title | Finite-Time <em>H</em><sub>∞</sub> Static Output Feedback Control for Itô Stochastic Markovian Jump Systems |
| title_full | Finite-Time <em>H</em><sub>∞</sub> Static Output Feedback Control for Itô Stochastic Markovian Jump Systems |
| title_fullStr | Finite-Time <em>H</em><sub>∞</sub> Static Output Feedback Control for Itô Stochastic Markovian Jump Systems |
| title_full_unstemmed | Finite-Time <em>H</em><sub>∞</sub> Static Output Feedback Control for Itô Stochastic Markovian Jump Systems |
| title_short | Finite-Time <em>H</em><sub>∞</sub> Static Output Feedback Control for Itô Stochastic Markovian Jump Systems |
| title_sort | finite time em h em sub ∞ sub static output feedback control for ito stochastic markovian jump systems |
| topic | finite-time static output feedback markovian jump stochastic system |
| url | https://www.mdpi.com/2227-7390/8/10/1709 |
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