Impulsive Control of Nonlinear Systems With Time-Varying Delay and Applications
Impulsive control of nonlinear delay systems is studied in this paper, where the time delays addressed may be the constant delay, bounded time-varying delay, or unbounded time-varying delay. Based on the impulsive control theory and some analysis techniques, a new theoretical result for global expon...
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| Veröffentlicht in: | IEEE transactions on cybernetics 2020-06, Vol.50 (6), p.2661-2673 |
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| creator | Li, Xiaodi Cao, Jinde Ho, Daniel W. C. |
| description | Impulsive control of nonlinear delay systems is studied in this paper, where the time delays addressed may be the constant delay, bounded time-varying delay, or unbounded time-varying delay. Based on the impulsive control theory and some analysis techniques, a new theoretical result for global exponential stability is derived from the impulsive control point of view. The significance of the presented result is that the stability can be achieved via the impulsive control at certain impulse points despite the existence of impulsive perturbations which causes negative effect to the control. That is, the impulsive control provides a super performance to allow the existence of impulsive perturbations. In addition, we apply the theoretical result to the problem of impulsive control of delayed neural networks. Some results for global exponential stability and synchronization control of neural networks with time delays are derived via impulsive control. Three illustrated examples are given to show the effectiveness and distinctiveness of the proposed impulsive control schemes. |
| doi_str_mv | 10.1109/TCYB.2019.2896340 |
| format | Article |
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Some results for global exponential stability and synchronization control of neural networks with time delays are derived via impulsive control. Three illustrated examples are given to show the effectiveness and distinctiveness of the proposed impulsive control schemes.</description><identifier>ISSN: 2168-2267</identifier><identifier>EISSN: 2168-2275</identifier><identifier>DOI: 10.1109/TCYB.2019.2896340</identifier><identifier>PMID: 30762581</identifier><identifier>CODEN: ITCEB8</identifier><language>eng</language><publisher>United States: IEEE</publisher><subject>Control stability ; Control systems ; Control theory ; Delay ; Delay effects ; Delay systems ; Delays ; exponential stability ; impulsive control ; Neural networks ; Nonlinear control ; Nonlinear systems ; Perturbation methods ; Stability analysis ; Synchronism ; Synchronization ; synchronization control ; Time varying control ; Time-varying systems ; unbounded time-varying delay</subject><ispartof>IEEE transactions on cybernetics, 2020-06, Vol.50 (6), p.2661-2673</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c349t-423c407a423fd7dc53966fa77a5a688bb4ea5ff52f2755acfb1ad900f8bad0ca3</citedby><cites>FETCH-LOGICAL-c349t-423c407a423fd7dc53966fa77a5a688bb4ea5ff52f2755acfb1ad900f8bad0ca3</cites><orcidid>0000-0003-3133-7119 ; 0000-0001-5124-7159 ; 0000-0001-9799-3712</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/8641318$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27922,27923,54756</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/8641318$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/30762581$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Li, Xiaodi</creatorcontrib><creatorcontrib>Cao, Jinde</creatorcontrib><creatorcontrib>Ho, Daniel W. C.</creatorcontrib><title>Impulsive Control of Nonlinear Systems With Time-Varying Delay and Applications</title><title>IEEE transactions on cybernetics</title><addtitle>TCYB</addtitle><addtitle>IEEE Trans Cybern</addtitle><description>Impulsive control of nonlinear delay systems is studied in this paper, where the time delays addressed may be the constant delay, bounded time-varying delay, or unbounded time-varying delay. Based on the impulsive control theory and some analysis techniques, a new theoretical result for global exponential stability is derived from the impulsive control point of view. The significance of the presented result is that the stability can be achieved via the impulsive control at certain impulse points despite the existence of impulsive perturbations which causes negative effect to the control. That is, the impulsive control provides a super performance to allow the existence of impulsive perturbations. In addition, we apply the theoretical result to the problem of impulsive control of delayed neural networks. Some results for global exponential stability and synchronization control of neural networks with time delays are derived via impulsive control. Three illustrated examples are given to show the effectiveness and distinctiveness of the proposed impulsive control schemes.</description><subject>Control stability</subject><subject>Control systems</subject><subject>Control theory</subject><subject>Delay</subject><subject>Delay effects</subject><subject>Delay systems</subject><subject>Delays</subject><subject>exponential stability</subject><subject>impulsive control</subject><subject>Neural networks</subject><subject>Nonlinear control</subject><subject>Nonlinear systems</subject><subject>Perturbation methods</subject><subject>Stability analysis</subject><subject>Synchronism</subject><subject>Synchronization</subject><subject>synchronization control</subject><subject>Time varying control</subject><subject>Time-varying systems</subject><subject>unbounded time-varying delay</subject><issn>2168-2267</issn><issn>2168-2275</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkMlOwzAQQC0EolXpByAkZIkLlxQvWZxjCVulih4oIE6Wk9jgKomDnSD173HU0gO-jDXzZjTzADjHaIYxSm_W2cftjCCczghLYxqiIzAmOGYBIUl0fPjHyQhMndsg_5hPpewUjChKYhIxPAarRd32ldM_Emam6aypoFHw2TSVbqSw8GXrOlk7-K67L7jWtQzehN3q5hPeyUpsoWhKOG_bShei06ZxZ-BEicrJ6T5OwOvD_Tp7Cparx0U2XwYFDdMuCAktQpQIH1WZlEVE0zhWIklEJGLG8jyUIlIqIsofE4lC5ViUKUKK5aJEhaATcL2b21rz3UvX8Vq7QlaVaKTpHSeEpBiTkCYevfqHbkxvG78dJyEaIIIjT-EdVVjjnJWKt1bX_laOER-E80E4H4TzvXDfc7mf3Oe1LA8df3o9cLEDtJTyUGZxiClm9BfSJ4PD</recordid><startdate>20200601</startdate><enddate>20200601</enddate><creator>Li, Xiaodi</creator><creator>Cao, Jinde</creator><creator>Ho, Daniel W. C.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0003-3133-7119</orcidid><orcidid>https://orcid.org/0000-0001-5124-7159</orcidid><orcidid>https://orcid.org/0000-0001-9799-3712</orcidid></search><sort><creationdate>20200601</creationdate><title>Impulsive Control of Nonlinear Systems With Time-Varying Delay and Applications</title><author>Li, Xiaodi ; Cao, Jinde ; Ho, Daniel W. 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C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Impulsive Control of Nonlinear Systems With Time-Varying Delay and Applications</atitle><jtitle>IEEE transactions on cybernetics</jtitle><stitle>TCYB</stitle><addtitle>IEEE Trans Cybern</addtitle><date>2020-06-01</date><risdate>2020</risdate><volume>50</volume><issue>6</issue><spage>2661</spage><epage>2673</epage><pages>2661-2673</pages><issn>2168-2267</issn><eissn>2168-2275</eissn><coden>ITCEB8</coden><abstract>Impulsive control of nonlinear delay systems is studied in this paper, where the time delays addressed may be the constant delay, bounded time-varying delay, or unbounded time-varying delay. Based on the impulsive control theory and some analysis techniques, a new theoretical result for global exponential stability is derived from the impulsive control point of view. The significance of the presented result is that the stability can be achieved via the impulsive control at certain impulse points despite the existence of impulsive perturbations which causes negative effect to the control. That is, the impulsive control provides a super performance to allow the existence of impulsive perturbations. In addition, we apply the theoretical result to the problem of impulsive control of delayed neural networks. Some results for global exponential stability and synchronization control of neural networks with time delays are derived via impulsive control. 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| subjects | Control stability Control systems Control theory Delay Delay effects Delay systems Delays exponential stability impulsive control Neural networks Nonlinear control Nonlinear systems Perturbation methods Stability analysis Synchronism Synchronization synchronization control Time varying control Time-varying systems unbounded time-varying delay |
| title | Impulsive Control of Nonlinear Systems With Time-Varying Delay and Applications |
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