Switching Controller Design for a Class of Markovian Jump Nonlinear Systems Using Stochastic Small-Gain Theorem
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 stochasti...
| 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://dx.doi.org/10.1155/2009/896218 |
| _version_ | 1811264010730864640 |
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| author | Jin Zhu Junhong Park Kwan-Soo Lee Maksym Spiryagin |
| author_facet | Jin Zhu Junhong Park Kwan-Soo Lee Maksym Spiryagin |
| author_sort | Jin Zhu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T19:55:25Z |
| format | Article |
| id | doaj.art-4006a584f5ef4065a4121b36eb68d2b0 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-04-12T19:55:25Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-4006a584f5ef4065a4121b36eb68d2b02022-12-22T03:18:40ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472009-01-01200910.1155/2009/896218Switching Controller Design for a Class of Markovian Jump Nonlinear Systems Using Stochastic Small-Gain TheoremJin ZhuJunhong ParkKwan-Soo LeeMaksym SpiryaginSwitching 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.http://dx.doi.org/10.1155/2009/896218 |
| spellingShingle | Jin Zhu Junhong Park Kwan-Soo Lee Maksym Spiryagin 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://dx.doi.org/10.1155/2009/896218 |
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