{"id":1060,"date":"2018-08-22T18:12:32","date_gmt":"2018-08-23T02:12:32","guid":{"rendered":"http:\/\/depts.washington.edu\/uwrainlab\/?page_id=1060"},"modified":"2018-08-22T18:12:32","modified_gmt":"2018-08-23T02:12:32","slug":"time-scale-separation-on-networks-consensus-tracking-and-state-dependent-interactions","status":"publish","type":"page","link":"http:\/\/depts.washington.edu\/uwrainlab\/time-scale-separation-on-networks-consensus-tracking-and-state-dependent-interactions\/","title":{"rendered":"Time-Scale Separation on Networks: Consensus, Tracking and State-Dependent Interactions"},"content":{"rendered":"

A. Awad, A. Chapman, E. Schoof, A. Narang-Siddarth, M. Mesbahi<\/strong><\/p>\n

IEEE Conference on Decision and Control<\/strong><\/p>\n

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This paper studies the coupling between dynamics that span multiple time-scales in distributed networked systems. In particular, we consider the evolution of the consensus dynamics interacting with fast nonlinear vehicle dynamics as well as its progress over a state-dependent graphs with slow-varying weight dynamics. Graph-based guarantees are provided that certify the existence of a separation principle across time-scales. Further, we quantify the role of the network’s structure in ensuring stability of the composite multi-time-scale system. Graph spectral measures are calculated providing designers a network structure approach to improve performance and\/or stability of the coupled system. Examples are presented illustrating the results.<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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A. Awad, A. Chapman, E. Schoof, A. Narang-Siddarth, M. Mesbahi IEEE Conference on Decision and Control This paper studies the coupling between dynamics that span multiple time-scales in distributed networked systems. In particular, we consider the evolution of the consensus dynamics interacting with fast nonlinear vehicle dynamics as well as its progress over a state-dependent […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/1060"}],"collection":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/comments?post=1060"}],"version-history":[{"count":1,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/1060\/revisions"}],"predecessor-version":[{"id":1061,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/1060\/revisions\/1061"}],"wp:attachment":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/media?parent=1060"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}