Losslessness of Nonlinear Stochastic Discrete-Time Systems
This paper will study stochastic losslessness theory for nonlinear stochastic discrete-time systems, which are expressed by the Itô-type difference equations. A necessary and sufficient condition is developed for a nonlinear stochastic discrete-time system to be lossless. By the stochastic lossless...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/594010 |
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| _version_ | 1832556108159385600 |
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| author | Xikui Liu Yan Li Ning Gao |
| author_facet | Xikui Liu Yan Li Ning Gao |
| author_sort | Xikui Liu |
| collection | DOAJ |
| description | This paper will study stochastic losslessness theory for nonlinear stochastic discrete-time systems, which are expressed by the Itô-type difference equations. A necessary and sufficient condition is developed for a nonlinear stochastic discrete-time system to be lossless. By the stochastic lossless theory, we show that a nonlinear stochastic discrete-time system can be lossless via state feedback if and only if it has relative degree 0,…,0 and lossless zero dynamics. The effectiveness of the proposed results is illustrated by a numerical example. |
| format | Article |
| id | doaj-art-21603f50a7244fb9bcaf90b4b3b0eba4 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-21603f50a7244fb9bcaf90b4b3b0eba42025-02-03T05:46:21ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/594010594010Losslessness of Nonlinear Stochastic Discrete-Time SystemsXikui Liu0Yan Li1Ning Gao2College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaCollege of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaCollege of Mathematics and System Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaThis paper will study stochastic losslessness theory for nonlinear stochastic discrete-time systems, which are expressed by the Itô-type difference equations. A necessary and sufficient condition is developed for a nonlinear stochastic discrete-time system to be lossless. By the stochastic lossless theory, we show that a nonlinear stochastic discrete-time system can be lossless via state feedback if and only if it has relative degree 0,…,0 and lossless zero dynamics. The effectiveness of the proposed results is illustrated by a numerical example.http://dx.doi.org/10.1155/2015/594010 |
| spellingShingle | Xikui Liu Yan Li Ning Gao Losslessness of Nonlinear Stochastic Discrete-Time Systems Discrete Dynamics in Nature and Society |
| title | Losslessness of Nonlinear Stochastic Discrete-Time Systems |
| title_full | Losslessness of Nonlinear Stochastic Discrete-Time Systems |
| title_fullStr | Losslessness of Nonlinear Stochastic Discrete-Time Systems |
| title_full_unstemmed | Losslessness of Nonlinear Stochastic Discrete-Time Systems |
| title_short | Losslessness of Nonlinear Stochastic Discrete-Time Systems |
| title_sort | losslessness of nonlinear stochastic discrete time systems |
| url | http://dx.doi.org/10.1155/2015/594010 |
| work_keys_str_mv | AT xikuiliu losslessnessofnonlinearstochasticdiscretetimesystems AT yanli losslessnessofnonlinearstochasticdiscretetimesystems AT ninggao losslessnessofnonlinearstochasticdiscretetimesystems |