Efficient Numerical Analysis of Stability of High-Order Systems With a Time Delay
Time delays are a common perturbation in systems with many states, such as networked, distributed, or decentralized systems. Current methods analyzing the stability of large systems with time delay typically produce very conservative results. While more exact methods exist, these become inefficient...
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| creator | Armanious, George Lind, Rick |
| description | Time delays are a common perturbation in systems with many states, such as
networked, distributed, or decentralized systems. Current methods analyzing the
stability of large systems with time delay typically produce very conservative
results. While more exact methods exist, these become inefficient for large
systems. This paper provides a methodology for analyzing the stability of
time-delayed systems that is derived from exact methods but is efficient for
high-order systems. The computational and memory cost of this new technique is
compared to the costs of existing techniques, and its efficiency is shown using
a distributed system with over four hundred states. |
| doi_str_mv | 10.48550/arxiv.1710.10289 |
| format | Article |
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networked, distributed, or decentralized systems. Current methods analyzing the
stability of large systems with time delay typically produce very conservative
results. While more exact methods exist, these become inefficient for large
systems. This paper provides a methodology for analyzing the stability of
time-delayed systems that is derived from exact methods but is efficient for
high-order systems. The computational and memory cost of this new technique is
compared to the costs of existing techniques, and its efficiency is shown using
a distributed system with over four hundred states.</description><identifier>DOI: 10.48550/arxiv.1710.10289</identifier><language>eng</language><subject>Computer Science - Systems and Control</subject><creationdate>2017-10</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1710.10289$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1710.10289$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Armanious, George</creatorcontrib><creatorcontrib>Lind, Rick</creatorcontrib><title>Efficient Numerical Analysis of Stability of High-Order Systems With a Time Delay</title><description>Time delays are a common perturbation in systems with many states, such as
networked, distributed, or decentralized systems. Current methods analyzing the
stability of large systems with time delay typically produce very conservative
results. While more exact methods exist, these become inefficient for large
systems. This paper provides a methodology for analyzing the stability of
time-delayed systems that is derived from exact methods but is efficient for
high-order systems. The computational and memory cost of this new technique is
compared to the costs of existing techniques, and its efficiency is shown using
a distributed system with over four hundred states.</description><subject>Computer Science - Systems and Control</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz81KAzEUBeBsXJTqA3RlXmBqfiaZybLUaoVikSm4HG4yib2QqZKJYt5eW10dzlkc-AhZcLasW6XYHaRv_Fry5nfgTLRmRl42IaBDf8r0-XP0CR1EujpBLBNO9D3QLoPFiLmcyxbfjtU-DT7RrkzZjxN9xXykQA84enrvI5RrchUgTv7mP-eke9gc1ttqt398Wq92FejGVMpJZa3VruZMauUlWD3wYJVqwDJjnFDAgtABBmNE47RtRavrQSgbdOvknNz-vV5I_UfCEVLpz7T-QpM_7_hJIA</recordid><startdate>20171027</startdate><enddate>20171027</enddate><creator>Armanious, George</creator><creator>Lind, Rick</creator><scope>AKY</scope><scope>GOX</scope></search><sort><creationdate>20171027</creationdate><title>Efficient Numerical Analysis of Stability of High-Order Systems With a Time Delay</title><author>Armanious, George ; Lind, Rick</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a679-5c35bbb6c410365e3ab6d1fb557ab099c25a0f26fad9927c6b82864d25bf68c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Computer Science - Systems and Control</topic><toplevel>online_resources</toplevel><creatorcontrib>Armanious, George</creatorcontrib><creatorcontrib>Lind, Rick</creatorcontrib><collection>arXiv Computer Science</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Armanious, George</au><au>Lind, Rick</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Efficient Numerical Analysis of Stability of High-Order Systems With a Time Delay</atitle><date>2017-10-27</date><risdate>2017</risdate><abstract>Time delays are a common perturbation in systems with many states, such as
networked, distributed, or decentralized systems. Current methods analyzing the
stability of large systems with time delay typically produce very conservative
results. While more exact methods exist, these become inefficient for large
systems. This paper provides a methodology for analyzing the stability of
time-delayed systems that is derived from exact methods but is efficient for
high-order systems. The computational and memory cost of this new technique is
compared to the costs of existing techniques, and its efficiency is shown using
a distributed system with over four hundred states.</abstract><doi>10.48550/arxiv.1710.10289</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Computer Science - Systems and Control |
| title | Efficient Numerical Analysis of Stability of High-Order Systems With a Time Delay |
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