Observers Design for a Class of Nonlinear Stochastic Discrete-Time Systems
This paper mainly studied the observer design of Lipschitz stochastic discrete system. For the first time, generalized Lipschitz conditions are introduced into the observer design of a class of nonlinear stochastic discrete systems. From this paper, it can be seen that the generalized Lipschitz cond...
Gespeichert in:
| Veröffentlicht in: | International journal of theoretical physics 2021-07, Vol.60 (7), p.2604-2612 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 2612 |
|---|---|
| container_issue | 7 |
| container_start_page | 2604 |
| container_title | International journal of theoretical physics |
| container_volume | 60 |
| creator | Miao, Xiu-feng Xu, Yao-qun Yao, Feng-ge |
| description | This paper mainly studied the observer design of Lipschitz stochastic discrete system. For the first time, generalized Lipschitz conditions are introduced into the observer design of a class of nonlinear stochastic discrete systems. From this paper, it can be seen that the generalized Lipschitz condition can better reflect the structural information of the nonlinear part, and thus has more advantages than the classical Lipschitz condition in the observer design. The stability criterion and observer design method of nonlinear stochastic discrete systems were proposed. Numerical examples illustrated the advantages and feasibility of the theoretical results obtained. |
| doi_str_mv | 10.1007/s10773-021-04710-6 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2558107740</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2558107740</sourcerecordid><originalsourceid>FETCH-LOGICAL-c270t-132abf032c7d42af0a084888015fa18a464b4a5e6b56bc1b7076b596036bf7d73</originalsourceid><addsrcrecordid>eNp9kE1PAjEURRujiYj-AVdNXFdfO-20LA34GSILcN10SotDYIp9gwn_3sExcefq3cU99yWHkGsOtxxA3yEHrQsGgjOQmgMrT8iAKy3YSGl1SgYAApjW0pyTC8Q1AIxAmgF5nVUY8lfISCcB61VDY8rU0fHGIdIU6VtqNnUTXKbzNvkPh23t6aRGn0Mb2KLeBjo_YBu2eEnOottguPq9Q_L--LAYP7Pp7OllfD9lXmhoGS-EqyIUwuulFC6CAyONMcBVdNw4WcpKOhXKSpWV55UG3cVRCUVZRb3UxZDc9Lu7nD73AVu7TvvcdC-tUMocTUjoWqJv-ZwQc4h2l-utywfLwR6d2d6Z7ZzZH2e27KCih7ArN6uQ_6b_ob4BAThtrw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2558107740</pqid></control><display><type>article</type><title>Observers Design for a Class of Nonlinear Stochastic Discrete-Time Systems</title><source>Springer Nature - Complete Springer Journals</source><creator>Miao, Xiu-feng ; Xu, Yao-qun ; Yao, Feng-ge</creator><creatorcontrib>Miao, Xiu-feng ; Xu, Yao-qun ; Yao, Feng-ge</creatorcontrib><description>This paper mainly studied the observer design of Lipschitz stochastic discrete system. For the first time, generalized Lipschitz conditions are introduced into the observer design of a class of nonlinear stochastic discrete systems. From this paper, it can be seen that the generalized Lipschitz condition can better reflect the structural information of the nonlinear part, and thus has more advantages than the classical Lipschitz condition in the observer design. The stability criterion and observer design method of nonlinear stochastic discrete systems were proposed. Numerical examples illustrated the advantages and feasibility of the theoretical results obtained.</description><identifier>ISSN: 0020-7748</identifier><identifier>EISSN: 1572-9575</identifier><identifier>DOI: 10.1007/s10773-021-04710-6</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Discrete systems ; Discrete time systems ; Elementary Particles ; Lipschitz condition ; Mathematical and Computational Physics ; Physics ; Physics and Astronomy ; Quantum Field Theory ; Quantum Physics ; Stability criteria ; Theoretical</subject><ispartof>International journal of theoretical physics, 2021-07, Vol.60 (7), p.2604-2612</ispartof><rights>The Author(s), under exclusive licence to Springer Science+Business Media, LLC part of Springer Nature 2021</rights><rights>The Author(s), under exclusive licence to Springer Science+Business Media, LLC part of Springer Nature 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c270t-132abf032c7d42af0a084888015fa18a464b4a5e6b56bc1b7076b596036bf7d73</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10773-021-04710-6$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10773-021-04710-6$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51298</link.rule.ids></links><search><creatorcontrib>Miao, Xiu-feng</creatorcontrib><creatorcontrib>Xu, Yao-qun</creatorcontrib><creatorcontrib>Yao, Feng-ge</creatorcontrib><title>Observers Design for a Class of Nonlinear Stochastic Discrete-Time Systems</title><title>International journal of theoretical physics</title><addtitle>Int J Theor Phys</addtitle><description>This paper mainly studied the observer design of Lipschitz stochastic discrete system. For the first time, generalized Lipschitz conditions are introduced into the observer design of a class of nonlinear stochastic discrete systems. From this paper, it can be seen that the generalized Lipschitz condition can better reflect the structural information of the nonlinear part, and thus has more advantages than the classical Lipschitz condition in the observer design. The stability criterion and observer design method of nonlinear stochastic discrete systems were proposed. Numerical examples illustrated the advantages and feasibility of the theoretical results obtained.</description><subject>Discrete systems</subject><subject>Discrete time systems</subject><subject>Elementary Particles</subject><subject>Lipschitz condition</subject><subject>Mathematical and Computational Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Stability criteria</subject><subject>Theoretical</subject><issn>0020-7748</issn><issn>1572-9575</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9kE1PAjEURRujiYj-AVdNXFdfO-20LA34GSILcN10SotDYIp9gwn_3sExcefq3cU99yWHkGsOtxxA3yEHrQsGgjOQmgMrT8iAKy3YSGl1SgYAApjW0pyTC8Q1AIxAmgF5nVUY8lfISCcB61VDY8rU0fHGIdIU6VtqNnUTXKbzNvkPh23t6aRGn0Mb2KLeBjo_YBu2eEnOottguPq9Q_L--LAYP7Pp7OllfD9lXmhoGS-EqyIUwuulFC6CAyONMcBVdNw4WcpKOhXKSpWV55UG3cVRCUVZRb3UxZDc9Lu7nD73AVu7TvvcdC-tUMocTUjoWqJv-ZwQc4h2l-utywfLwR6d2d6Z7ZzZH2e27KCih7ArN6uQ_6b_ob4BAThtrw</recordid><startdate>20210701</startdate><enddate>20210701</enddate><creator>Miao, Xiu-feng</creator><creator>Xu, Yao-qun</creator><creator>Yao, Feng-ge</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20210701</creationdate><title>Observers Design for a Class of Nonlinear Stochastic Discrete-Time Systems</title><author>Miao, Xiu-feng ; Xu, Yao-qun ; Yao, Feng-ge</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-132abf032c7d42af0a084888015fa18a464b4a5e6b56bc1b7076b596036bf7d73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Discrete systems</topic><topic>Discrete time systems</topic><topic>Elementary Particles</topic><topic>Lipschitz condition</topic><topic>Mathematical and Computational Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Stability criteria</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Miao, Xiu-feng</creatorcontrib><creatorcontrib>Xu, Yao-qun</creatorcontrib><creatorcontrib>Yao, Feng-ge</creatorcontrib><collection>CrossRef</collection><jtitle>International journal of theoretical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Miao, Xiu-feng</au><au>Xu, Yao-qun</au><au>Yao, Feng-ge</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Observers Design for a Class of Nonlinear Stochastic Discrete-Time Systems</atitle><jtitle>International journal of theoretical physics</jtitle><stitle>Int J Theor Phys</stitle><date>2021-07-01</date><risdate>2021</risdate><volume>60</volume><issue>7</issue><spage>2604</spage><epage>2612</epage><pages>2604-2612</pages><issn>0020-7748</issn><eissn>1572-9575</eissn><abstract>This paper mainly studied the observer design of Lipschitz stochastic discrete system. For the first time, generalized Lipschitz conditions are introduced into the observer design of a class of nonlinear stochastic discrete systems. From this paper, it can be seen that the generalized Lipschitz condition can better reflect the structural information of the nonlinear part, and thus has more advantages than the classical Lipschitz condition in the observer design. The stability criterion and observer design method of nonlinear stochastic discrete systems were proposed. Numerical examples illustrated the advantages and feasibility of the theoretical results obtained.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10773-021-04710-6</doi><tpages>9</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0020-7748 |
| ispartof | International journal of theoretical physics, 2021-07, Vol.60 (7), p.2604-2612 |
| issn | 0020-7748 1572-9575 |
| language | eng |
| recordid | cdi_proquest_journals_2558107740 |
| source | Springer Nature - Complete Springer Journals |
| subjects | Discrete systems Discrete time systems Elementary Particles Lipschitz condition Mathematical and Computational Physics Physics Physics and Astronomy Quantum Field Theory Quantum Physics Stability criteria Theoretical |
| title | Observers Design for a Class of Nonlinear Stochastic Discrete-Time Systems |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-22T20%3A41%3A30IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Observers%20Design%20for%20a%20Class%20of%20Nonlinear%20Stochastic%20Discrete-Time%20Systems&rft.jtitle=International%20journal%20of%20theoretical%20physics&rft.au=Miao,%20Xiu-feng&rft.date=2021-07-01&rft.volume=60&rft.issue=7&rft.spage=2604&rft.epage=2612&rft.pages=2604-2612&rft.issn=0020-7748&rft.eissn=1572-9575&rft_id=info:doi/10.1007/s10773-021-04710-6&rft_dat=%3Cproquest_cross%3E2558107740%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2558107740&rft_id=info:pmid/&rfr_iscdi=true |