Stabilizing a random dynamics network with a random communications network
We study a networked control system with identical linear time-invariant subsystems and identical couplings. Using the Lyapunov method, we derive a sufficient network stability condition. Then, based on this condition we calculate bounds on the probability of stability of a random dynamics network w...
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| creator | Manaffam, S. Razeghi-Jahromi, M. Seyedi, A. |
| description | We study a networked control system with identical linear time-invariant subsystems and identical couplings. Using the Lyapunov method, we derive a sufficient network stability condition. Then, based on this condition we calculate bounds on the probability of stability of a random dynamics network with a random communications network. Finally, we investigate the stability trends of the random networks in the asymptotic regime. Numerical examples validate our analytical results. |
| doi_str_mv | 10.1109/CDC.2012.6425998 |
| format | Conference Proceeding |
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Using the Lyapunov method, we derive a sufficient network stability condition. Then, based on this condition we calculate bounds on the probability of stability of a random dynamics network with a random communications network. Finally, we investigate the stability trends of the random networks in the asymptotic regime. 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Using the Lyapunov method, we derive a sufficient network stability condition. Then, based on this condition we calculate bounds on the probability of stability of a random dynamics network with a random communications network. Finally, we investigate the stability trends of the random networks in the asymptotic regime. Numerical examples validate our analytical results.</description><subject>Asymptotic stability</subject><subject>Communication networks</subject><subject>Couplings</subject><subject>Lyapunov methods</subject><subject>Numerical stability</subject><subject>Stability analysis</subject><subject>Vectors</subject><issn>0191-2216</issn><isbn>9781467320658</isbn><isbn>146732065X</isbn><isbn>1467320633</isbn><isbn>1467320668</isbn><isbn>9781467320634</isbn><isbn>9781467320665</isbn><isbn>9781467320641</isbn><isbn>1467320641</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2012</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNpFkE1PwzAQRI0Aibb0jsQlfyBl147X9hEFyocqcQDO1SZ2wNA4KAmqyq_nQIHTaPRG7zBCnCEsEMFdlFflQgLKBRVSO2cPxBQLMkoCKXUo5s7Y367tkZgAOsylRDoR02F4AwALRBNx_zhyFTfxK6aXjLOek-_azO8St7EeshTGbde_Z9s4vv7jumvbzxRrHmOX_kan4rjhzRDm-5yJ5-X1U3mbrx5u7srLVR7R6DFnkpocGixqGwxXGgtTOSYCiVojeW4CVMYGq7xi4ytqkLWyiJ6d4qBm4vzHG0MI648-ttzv1vsf1Deelk97</recordid><startdate>201212</startdate><enddate>201212</enddate><creator>Manaffam, S.</creator><creator>Razeghi-Jahromi, M.</creator><creator>Seyedi, A.</creator><general>IEEE</general><scope>6IE</scope><scope>6IH</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIO</scope></search><sort><creationdate>201212</creationdate><title>Stabilizing a random dynamics network with a random communications network</title><author>Manaffam, S. ; Razeghi-Jahromi, M. ; Seyedi, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-a625691714c8e7ab5147b9a660215516dafe0b78e83d3a7db6f1a53811da93ae3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Asymptotic stability</topic><topic>Communication networks</topic><topic>Couplings</topic><topic>Lyapunov methods</topic><topic>Numerical stability</topic><topic>Stability analysis</topic><topic>Vectors</topic><toplevel>online_resources</toplevel><creatorcontrib>Manaffam, S.</creatorcontrib><creatorcontrib>Razeghi-Jahromi, M.</creatorcontrib><creatorcontrib>Seyedi, A.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan (POP) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP) 1998-present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Manaffam, S.</au><au>Razeghi-Jahromi, M.</au><au>Seyedi, A.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Stabilizing a random dynamics network with a random communications network</atitle><btitle>2012 IEEE 51st IEEE Conference on Decision and Control (CDC)</btitle><stitle>CDC</stitle><date>2012-12</date><risdate>2012</risdate><spage>746</spage><epage>751</epage><pages>746-751</pages><issn>0191-2216</issn><isbn>9781467320658</isbn><isbn>146732065X</isbn><eisbn>1467320633</eisbn><eisbn>1467320668</eisbn><eisbn>9781467320634</eisbn><eisbn>9781467320665</eisbn><eisbn>9781467320641</eisbn><eisbn>1467320641</eisbn><abstract>We study a networked control system with identical linear time-invariant subsystems and identical couplings. Using the Lyapunov method, we derive a sufficient network stability condition. Then, based on this condition we calculate bounds on the probability of stability of a random dynamics network with a random communications network. Finally, we investigate the stability trends of the random networks in the asymptotic regime. Numerical examples validate our analytical results.</abstract><pub>IEEE</pub><doi>10.1109/CDC.2012.6425998</doi><tpages>6</tpages></addata></record> |
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| ispartof | 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012, p.746-751 |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Asymptotic stability Communication networks Couplings Lyapunov methods Numerical stability Stability analysis Vectors |
| title | Stabilizing a random dynamics network with a random communications network |
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