On Incremental Stability of Interconnected Switched Systems
In this letter, the incremental stability of interconnected systems is discussed. In particular, we consider an interconnection of switched nonlinear systems. The incremental stability of the switched interconnected system is a stronger property as compared to conventional stability. Guaranteeing su...
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| creator | Dey, Bhabani Shankar Kar, Indra Narayan Jagtap, Pushpak |
| description | In this letter, the incremental stability of interconnected systems is
discussed. In particular, we consider an interconnection of switched nonlinear
systems. The incremental stability of the switched interconnected system is a
stronger property as compared to conventional stability. Guaranteeing such a
notion of stability for an overall interconnected nonlinear system is
challenging, even if individual subsystems are incrementally stable. Here,
preserving incremental stability for the interconnection is ensured with a set
of sufficient conditions. Contraction theory is used as a tool to achieve
incremental convergence. For the feedback interconnection, the small gain
characterisation is presented for the overall system's incremental stability.
The results are derived for a special case of feedback, i.e., cascade
interconnection. Matrix-measure-based conditions are presented, which are
computationally tractable. Two numerical examples are demonstrated and
supported with simulation results to verify the theoretical claims. |
| doi_str_mv | 10.48550/arxiv.2308.12746 |
| format | Article |
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discussed. In particular, we consider an interconnection of switched nonlinear
systems. The incremental stability of the switched interconnected system is a
stronger property as compared to conventional stability. Guaranteeing such a
notion of stability for an overall interconnected nonlinear system is
challenging, even if individual subsystems are incrementally stable. Here,
preserving incremental stability for the interconnection is ensured with a set
of sufficient conditions. Contraction theory is used as a tool to achieve
incremental convergence. For the feedback interconnection, the small gain
characterisation is presented for the overall system's incremental stability.
The results are derived for a special case of feedback, i.e., cascade
interconnection. Matrix-measure-based conditions are presented, which are
computationally tractable. Two numerical examples are demonstrated and
supported with simulation results to verify the theoretical claims.</description><identifier>DOI: 10.48550/arxiv.2308.12746</identifier><language>eng</language><subject>Computer Science - Systems and Control</subject><creationdate>2023-08</creationdate><rights>http://creativecommons.org/licenses/by-nc-nd/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2308.12746$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2308.12746$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Dey, Bhabani Shankar</creatorcontrib><creatorcontrib>Kar, Indra Narayan</creatorcontrib><creatorcontrib>Jagtap, Pushpak</creatorcontrib><title>On Incremental Stability of Interconnected Switched Systems</title><description>In this letter, the incremental stability of interconnected systems is
discussed. In particular, we consider an interconnection of switched nonlinear
systems. The incremental stability of the switched interconnected system is a
stronger property as compared to conventional stability. Guaranteeing such a
notion of stability for an overall interconnected nonlinear system is
challenging, even if individual subsystems are incrementally stable. Here,
preserving incremental stability for the interconnection is ensured with a set
of sufficient conditions. Contraction theory is used as a tool to achieve
incremental convergence. For the feedback interconnection, the small gain
characterisation is presented for the overall system's incremental stability.
The results are derived for a special case of feedback, i.e., cascade
interconnection. Matrix-measure-based conditions are presented, which are
computationally tractable. Two numerical examples are demonstrated and
supported with simulation results to verify the theoretical claims.</description><subject>Computer Science - Systems and Control</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8tqwzAURLXpoiT9gK7qH7Crhy1ZZFVC2gYCWSR7c3V9RQW2UmSRxH_fJu1qBgYOcxh7Fryq26bhr5Cu4VxJxdtKSFPrR7bax2IbMdFIMcNQHDK4MIQ8Fyf_O2RKeIqRMFNfHC4h49etzFOmcVqyBw_DRE__uWDH981x_Vnu9h_b9duuBG10abVxloMTBAa4AqPIc-WpBkIu0EktUVrXozHWNrW3Er0G3mrbCzTaqAV7-cPe33ffKYyQ5u5m0d0t1A_IvkKQ</recordid><startdate>20230824</startdate><enddate>20230824</enddate><creator>Dey, Bhabani Shankar</creator><creator>Kar, Indra Narayan</creator><creator>Jagtap, Pushpak</creator><scope>AKY</scope><scope>GOX</scope></search><sort><creationdate>20230824</creationdate><title>On Incremental Stability of Interconnected Switched Systems</title><author>Dey, Bhabani Shankar ; Kar, Indra Narayan ; Jagtap, Pushpak</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a676-967b90ab1ea7a03a73ef03fe4aec01cb262c29bdc779954f92cf6a0869d1c7673</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Computer Science - Systems and Control</topic><toplevel>online_resources</toplevel><creatorcontrib>Dey, Bhabani Shankar</creatorcontrib><creatorcontrib>Kar, Indra Narayan</creatorcontrib><creatorcontrib>Jagtap, Pushpak</creatorcontrib><collection>arXiv Computer Science</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Dey, Bhabani Shankar</au><au>Kar, Indra Narayan</au><au>Jagtap, Pushpak</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On Incremental Stability of Interconnected Switched Systems</atitle><date>2023-08-24</date><risdate>2023</risdate><abstract>In this letter, the incremental stability of interconnected systems is
discussed. In particular, we consider an interconnection of switched nonlinear
systems. The incremental stability of the switched interconnected system is a
stronger property as compared to conventional stability. Guaranteeing such a
notion of stability for an overall interconnected nonlinear system is
challenging, even if individual subsystems are incrementally stable. Here,
preserving incremental stability for the interconnection is ensured with a set
of sufficient conditions. Contraction theory is used as a tool to achieve
incremental convergence. For the feedback interconnection, the small gain
characterisation is presented for the overall system's incremental stability.
The results are derived for a special case of feedback, i.e., cascade
interconnection. Matrix-measure-based conditions are presented, which are
computationally tractable. Two numerical examples are demonstrated and
supported with simulation results to verify the theoretical claims.</abstract><doi>10.48550/arxiv.2308.12746</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Computer Science - Systems and Control |
| title | On Incremental Stability of Interconnected Switched Systems |
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