{"id":"https://openalex.org/W2030393635","doi":"https://doi.org/10.1109/cdc.2014.7039734","title":"Towards scalable algorithms with formal guarantees for Lyapunov analysis of control systems via algebraic optimization","display_name":"Towards scalable algorithms with formal guarantees for Lyapunov analysis of control systems via algebraic optimization","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W2030393635","doi":"https://doi.org/10.1109/cdc.2014.7039734","mag":"2030393635"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2014.7039734","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7039734","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101485690","display_name":"Amir Ali Ahmadi","orcid":"https://orcid.org/0009-0001-5743-354X"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Amir Ali Ahmadi","raw_affiliation_strings":["Department of Operations Research and Financial Engineering, Princeton University","Department of Operations Research and Financial Engineering at Princeton University, USA"],"affiliations":[{"raw_affiliation_string":"Department of Operations Research and Financial Engineering, Princeton University","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Operations Research and Financial Engineering at Princeton University, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031935416","display_name":"Pablo A. Parrilo","orcid":"https://orcid.org/0000-0003-1132-8477"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pablo A. Parrilo","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, MIT","Department of Electrical Engineering and Computer Science at MIT, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, MIT","institution_ids":[]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science at MIT, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101485690"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":null,"apc_paid":null,"fwci":3.2047,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.91819723,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"28","issue":null,"first_page":"2272","last_page":"2281"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9947999715805054,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.6844619512557983},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6396898627281189},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5576648712158203},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5572980642318726},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.5094130635261536},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5074190497398376},{"id":"https://openalex.org/keywords/collision-avoidance","display_name":"Collision avoidance","score":0.47950178384780884},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4749075174331665},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.47286224365234375},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.4584185481071472},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43118932843208313},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41251906752586365},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.36014240980148315},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.34822988510131836},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3361307680606842},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.31960833072662354},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27654436230659485},{"id":"https://openalex.org/keywords/collision","display_name":"Collision","score":0.25646668672561646},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1901780664920807},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11387532949447632},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11357882618904114},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10457295179367065},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.0666189193725586}],"concepts":[{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.6844619512557983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6396898627281189},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5576648712158203},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5572980642318726},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.5094130635261536},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5074190497398376},{"id":"https://openalex.org/C2780864053","wikidata":"https://www.wikidata.org/wiki/Q5147495","display_name":"Collision avoidance","level":3,"score":0.47950178384780884},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4749075174331665},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.47286224365234375},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.4584185481071472},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43118932843208313},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41251906752586365},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.36014240980148315},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.34822988510131836},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3361307680606842},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.31960833072662354},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27654436230659485},{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.25646668672561646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1901780664920807},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11387532949447632},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11357882618904114},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10457295179367065},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0666189193725586},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2014.7039734","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7039734","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":67,"referenced_works":["https://openalex.org/W431400460","https://openalex.org/W1481077264","https://openalex.org/W1484992632","https://openalex.org/W1530960252","https://openalex.org/W1534704094","https://openalex.org/W1552510372","https://openalex.org/W1565611252","https://openalex.org/W1591868040","https://openalex.org/W1799829135","https://openalex.org/W1833752784","https://openalex.org/W1926900079","https://openalex.org/W1967184028","https://openalex.org/W1971837993","https://openalex.org/W1981518949","https://openalex.org/W1995151594","https://openalex.org/W1996952488","https://openalex.org/W2002089154","https://openalex.org/W2003652915","https://openalex.org/W2004902288","https://openalex.org/W2006116648","https://openalex.org/W2007264979","https://openalex.org/W2028637098","https://openalex.org/W2065053468","https://openalex.org/W2072180977","https://openalex.org/W2079705627","https://openalex.org/W2085893091","https://openalex.org/W2094426806","https://openalex.org/W2102022534","https://openalex.org/W2103764200","https://openalex.org/W2103952421","https://openalex.org/W2104575444","https://openalex.org/W2105500253","https://openalex.org/W2105502344","https://openalex.org/W2107065549","https://openalex.org/W2114803474","https://openalex.org/W2123971149","https://openalex.org/W2130458168","https://openalex.org/W2133404041","https://openalex.org/W2133860287","https://openalex.org/W2134305728","https://openalex.org/W2135169888","https://openalex.org/W2135628341","https://openalex.org/W2141280150","https://openalex.org/W2145328298","https://openalex.org/W2148247550","https://openalex.org/W2155689575","https://openalex.org/W2158668441","https://openalex.org/W2255400221","https://openalex.org/W2325692311","https://openalex.org/W2588100938","https://openalex.org/W2962960842","https://openalex.org/W2964330658","https://openalex.org/W3103158853","https://openalex.org/W3106333958","https://openalex.org/W3174778505","https://openalex.org/W4206252072","https://openalex.org/W4233252806","https://openalex.org/W4238257903","https://openalex.org/W4246855957","https://openalex.org/W4293738473","https://openalex.org/W4302339081","https://openalex.org/W6628552953","https://openalex.org/W6638218825","https://openalex.org/W6638692053","https://openalex.org/W6657382728","https://openalex.org/W6675772767","https://openalex.org/W6679865031"],"related_works":["https://openalex.org/W4317634134","https://openalex.org/W2981729160","https://openalex.org/W4310743282","https://openalex.org/W2743212448","https://openalex.org/W2889566344","https://openalex.org/W3046417820","https://openalex.org/W1605491546","https://openalex.org/W2534107666","https://openalex.org/W2117933783","https://openalex.org/W2560479139"],"abstract_inverted_index":{"Exciting":[0],"recent":[1,59],"developments":[2],"at":[3],"the":[4,68,71],"interface":[5],"of":[6,36,57,70],"optimization":[7],"and":[8,18,27,42,76,94],"control":[9],"have":[10],"shown":[11],"that":[12,96],"several":[13],"fundamental":[14,87],"problems":[15],"in":[16,73],"dynamics":[17],"control,":[19],"such":[20],"as":[21,84,86],"stability,":[22],"collision":[23],"avoidance,":[24],"robust":[25],"performance,":[26],"controller":[28],"synthesis":[29],"can":[30],"be":[31],"addressed":[32],"by":[33],"a":[34,54],"synergy":[35],"classical":[37],"tools":[38],"from":[39,46],"Lyapunov":[40],"theory":[41],"modern":[43],"computational":[44],"techniques":[45],"algebraic":[47],"optimization.":[48],"In":[49],"this":[50,74],"paper,":[51],"we":[52],"give":[53],"brief":[55],"overview":[56],"our":[58],"research":[60],"efforts":[61],"(with":[62],"various":[63],"coauthors)":[64],"to":[65],"(i)":[66],"enhance":[67],"scalability":[69],"algorithms":[72],"field,":[75],"(ii)":[77],"understand":[78],"their":[79],"worst":[80],"case":[81],"performance":[82],"guarantees":[83],"well":[85],"limitations.":[88],"Our":[89],"results":[90],"are":[91,99],"tersely":[92],"surveyed":[93],"challenges/opportunities":[95],"lie":[97],"ahead":[98],"stated.":[100]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
