{"id":"https://openalex.org/W2938787728","doi":"https://doi.org/10.1145/3302504.3311815","title":"On topological entropy and stability of switched linear systems","display_name":"On topological entropy and stability of switched linear systems","publication_year":2019,"publication_date":"2019-04-08","ids":{"openalex":"https://openalex.org/W2938787728","doi":"https://doi.org/10.1145/3302504.3311815","mag":"2938787728"},"language":"en","primary_location":{"id":"doi:10.1145/3302504.3311815","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3302504.3311815","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3302504.3311815","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 22nd ACM International Conference on Hybrid Systems: Computation and Control","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3302504.3311815","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040324171","display_name":"Guosong Yang","orcid":"https://orcid.org/0000-0001-5508-6727"},"institutions":[{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guosong Yang","raw_affiliation_strings":["University of California"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California","institution_ids":["https://openalex.org/I2803209242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065218317","display_name":"Jo\u00e3o P. Hespanha","orcid":"https://orcid.org/0000-0003-2809-4718"},"institutions":[{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jo\u00e3o P. Hespanha","raw_affiliation_strings":["University of California"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California","institution_ids":["https://openalex.org/I2803209242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086321981","display_name":"Daniel Liberzon","orcid":"https://orcid.org/0000-0003-2383-0114"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Liberzon","raw_affiliation_strings":["University of Illinois at Urbana-Champaign"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3489,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.80793475,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"190","issue":null,"first_page":"119","last_page":"127"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/topological-entropy","display_name":"Topological entropy","score":0.8371338844299316},{"id":"https://openalex.org/keywords/topological-entropy-in-physics","display_name":"Topological entropy in physics","score":0.7423799633979797},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7037777304649353},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.6799970865249634},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5868294835090637},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5499436855316162},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.515824019908905},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4897491931915283},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.48615023493766785},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.44705501198768616},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4326667785644531},{"id":"https://openalex.org/keywords/topological-quantum-number","display_name":"Topological quantum number","score":0.31329894065856934},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25271886587142944},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.2472011148929596},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24656489491462708},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18306291103363037},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15283262729644775}],"concepts":[{"id":"https://openalex.org/C2780350623","wikidata":"https://www.wikidata.org/wiki/Q3055355","display_name":"Topological entropy","level":2,"score":0.8371338844299316},{"id":"https://openalex.org/C148908050","wikidata":"https://www.wikidata.org/wiki/Q11681505","display_name":"Topological entropy in physics","level":3,"score":0.7423799633979797},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7037777304649353},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.6799970865249634},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5868294835090637},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5499436855316162},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.515824019908905},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4897491931915283},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.48615023493766785},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.44705501198768616},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4326667785644531},{"id":"https://openalex.org/C77223115","wikidata":"https://www.wikidata.org/wiki/Q634781","display_name":"Topological quantum number","level":2,"score":0.31329894065856934},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25271886587142944},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.2472011148929596},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24656489491462708},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18306291103363037},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15283262729644775},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3302504.3311815","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3302504.3311815","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3302504.3311815","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 22nd ACM International Conference on Hybrid Systems: Computation and Control","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3302504.3311815","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3302504.3311815","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3302504.3311815","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 22nd ACM International Conference on Hybrid Systems: Computation and Control","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1072749480","display_name":null,"funder_award_id":"FA9550-17","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G1226799121","display_name":null,"funder_award_id":"1662708","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1265284585","display_name":null,"funder_award_id":"EPCN-1608880, CNS-1329650, CMMI-1662708","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1437302374","display_name":null,"funder_award_id":"FA9550-17-1-0236","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G260750634","display_name":null,"funder_award_id":"FA9550-17-1","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G293149351","display_name":null,"funder_award_id":"CMMI-1662708","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G3275609964","display_name":null,"funder_award_id":"CMMI-1662708","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3392305090","display_name":null,"funder_award_id":"-16-1-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G525381813","display_name":null,"funder_award_id":"FA9550-17-1-0236","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G583239648","display_name":"CPS: Frontiers: Collaborative Research: ROSELINE: Enabling Robust, Secure, and Efficient Knowledge of Time Across the System Stack","funder_award_id":"1329650","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6098521345","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G6311902707","display_name":null,"funder_award_id":"CMMI-1662708","funder_id":"https://openalex.org/F4320337391","funder_display_name":"Division of Civil, Mechanical and Manufacturing Innovation"},{"id":"https://openalex.org/G6610570702","display_name":null,"funder_award_id":"CNS-1329650","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6621568507","display_name":"EPCN - Online Optimization for the Control of Small Autonomous Vehicles","funder_award_id":"1608880","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G741425302","display_name":null,"funder_award_id":"FA9550-17-1-0236","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G764410440","display_name":null,"funder_award_id":"N00014-16-1-2710","funder_id":"https://openalex.org/F4320338298","funder_display_name":"Office of Naval Research Global"},{"id":"https://openalex.org/G7931973718","display_name":null,"funder_award_id":"N00014-16-1-2710","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G8187878259","display_name":null,"funder_award_id":"CMMI-1662708","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G8307716869","display_name":null,"funder_award_id":"N00014-16-1-2710","funder_id":"https://openalex.org/F4320333591","funder_display_name":"Multidisciplinary University Research Initiative"},{"id":"https://openalex.org/G8325026323","display_name":null,"funder_award_id":"N00014-16-1-2710","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G8906680872","display_name":null,"funder_award_id":"N00014-16-1-2710","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320333591","display_name":"Multidisciplinary University Research Initiative","ror":null},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"},{"id":"https://openalex.org/F4320338298","display_name":"Office of Naval Research Global","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2938787728.pdf","grobid_xml":"https://content.openalex.org/works/W2938787728.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W45359070","https://openalex.org/W144473288","https://openalex.org/W1525184094","https://openalex.org/W1552094772","https://openalex.org/W1563446057","https://openalex.org/W1900371862","https://openalex.org/W1968975267","https://openalex.org/W1984599496","https://openalex.org/W1995266297","https://openalex.org/W1995875735","https://openalex.org/W1999475301","https://openalex.org/W2009428260","https://openalex.org/W2011970734","https://openalex.org/W2013925066","https://openalex.org/W2015993645","https://openalex.org/W2053102276","https://openalex.org/W2063130716","https://openalex.org/W2081817659","https://openalex.org/W2082289097","https://openalex.org/W2095363739","https://openalex.org/W2096584475","https://openalex.org/W2098898086","https://openalex.org/W2156216606","https://openalex.org/W2213247601","https://openalex.org/W2483288238","https://openalex.org/W2529061134","https://openalex.org/W2606556551","https://openalex.org/W2610857016","https://openalex.org/W2766962200","https://openalex.org/W2773400639","https://openalex.org/W2798707604","https://openalex.org/W2911731040","https://openalex.org/W2913486360","https://openalex.org/W2990927646","https://openalex.org/W2993308148","https://openalex.org/W4205781320","https://openalex.org/W4212958445","https://openalex.org/W4213022453","https://openalex.org/W4256176928"],"related_works":["https://openalex.org/W4293563271","https://openalex.org/W2975150520","https://openalex.org/W2059440775","https://openalex.org/W1990800706","https://openalex.org/W1969406430","https://openalex.org/W2938787728","https://openalex.org/W2926376201","https://openalex.org/W4313380927","https://openalex.org/W2502864453","https://openalex.org/W2066807886"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"topological":[3,33,39,74,98,132],"entropy":[4,40,75,99,108,133],"and":[5,62,69,112,134],"stability":[6,115],"properties":[7],"of":[8,20,22,41,58,81,122],"switched":[9,24,43,89,123],"linear":[10,25,44,90,124],"systems.":[11],"First,":[12],"we":[13,36,85],"show":[14],"that":[15,52,65,71,80,87],"the":[16,38,59,72,82,107,113],"exponential":[17,140],"growth":[18],"rates":[19],"solutions":[21],"a":[23,42,50,63,88,103],"system":[26,45,91],"are":[27,117],"essentially":[28],"upper":[29,77,129],"bounded":[30,78],"by":[31,46,55,79],"its":[32,97],"entropy.":[34],"Second,":[35],"estimate":[37],"decomposing":[47],"it":[48],"into":[49],"part":[51,64],"is":[53,76,92],"generated":[54],"scalar":[56],"multiples":[57],"identity":[60],"matrix":[61],"has":[66],"zero":[67,101],"entropy,":[68],"proving":[70],"overall":[73],"former.":[83],"Third,":[84],"prove":[86],"globally":[93],"exponentially":[94],"stable":[95],"if":[96],"remains":[100],"under":[102],"destabilizing":[104],"perturbation.":[105],"Finally,":[106],"estimation":[109],"via":[110],"decomposition":[111],"entropy-based":[114],"condition":[116],"applied":[118],"to":[119,126],"three":[120],"classes":[121],"systems":[125],"construct":[127],"novel":[128,135],"bounds":[130],"for":[131,138],"sufficient":[136],"conditions":[137],"global":[139],"stability.":[141]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
