Switching Controller Design for a Class of Markovian Jump Nonlinear Systems Using Stochastic Small-Gain Theorem
<p/> <p>Switching controller design for a class of Markovian jump nonlinear systems with unmodeled dynamics is considered in this paper. Based on the differential equation and infinitesimal generator of jump systems, the concept of Jump Input-to-State practical Stability (JISpS) in proba...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2009/896218 |
| _version_ | 1818210810003980288 |
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| author | Spiryagin Maksym Zhu Jin Park Junhong Lee Kwan-Soo |
| author_facet | Spiryagin Maksym Zhu Jin Park Junhong Lee Kwan-Soo |
| author_sort | Spiryagin Maksym |
| collection | DOAJ |
| description | <p/> <p>Switching controller design for a class of Markovian jump nonlinear systems with unmodeled dynamics is considered in this paper. Based on the differential equation and infinitesimal generator of jump systems, the concept of Jump Input-to-State practical Stability (JISpS) in probability and stochastic Lyapunov stability criterion are put forward. By using backsetpping technology and stochastic small-gain theorem, a switching controller is proposed which ensures JISpS in probability for the jump nonlinear system. A simulation example illustrates the validity of this design.</p> |
| first_indexed | 2024-12-12T05:22:31Z |
| format | Article |
| id | doaj.art-57f0bac26a104cbe945d5ed4d461e747 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-12-12T05:22:31Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-57f0bac26a104cbe945d5ed4d461e7472022-12-22T00:36:34ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472009-01-0120091896218Switching Controller Design for a Class of Markovian Jump Nonlinear Systems Using Stochastic Small-Gain TheoremSpiryagin MaksymZhu JinPark JunhongLee Kwan-Soo<p/> <p>Switching controller design for a class of Markovian jump nonlinear systems with unmodeled dynamics is considered in this paper. Based on the differential equation and infinitesimal generator of jump systems, the concept of Jump Input-to-State practical Stability (JISpS) in probability and stochastic Lyapunov stability criterion are put forward. By using backsetpping technology and stochastic small-gain theorem, a switching controller is proposed which ensures JISpS in probability for the jump nonlinear system. A simulation example illustrates the validity of this design.</p>http://www.advancesindifferenceequations.com/content/2009/896218 |
| spellingShingle | Spiryagin Maksym Zhu Jin Park Junhong Lee Kwan-Soo Switching Controller Design for a Class of Markovian Jump Nonlinear Systems Using Stochastic Small-Gain Theorem Advances in Difference Equations |
| title | Switching Controller Design for a Class of Markovian Jump Nonlinear Systems Using Stochastic Small-Gain Theorem |
| title_full | Switching Controller Design for a Class of Markovian Jump Nonlinear Systems Using Stochastic Small-Gain Theorem |
| title_fullStr | Switching Controller Design for a Class of Markovian Jump Nonlinear Systems Using Stochastic Small-Gain Theorem |
| title_full_unstemmed | Switching Controller Design for a Class of Markovian Jump Nonlinear Systems Using Stochastic Small-Gain Theorem |
| title_short | Switching Controller Design for a Class of Markovian Jump Nonlinear Systems Using Stochastic Small-Gain Theorem |
| title_sort | switching controller design for a class of markovian jump nonlinear systems using stochastic small gain theorem |
| url | http://www.advancesindifferenceequations.com/content/2009/896218 |
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