{"id":"https://openalex.org/W220588659","doi":"https://doi.org/10.1007/978-1-4471-5102-9_270-1","title":"Pursuit-Evasion Games and Zero-Sum Two-Person Differential Games","display_name":"Pursuit-Evasion Games and Zero-Sum Two-Person Differential Games","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W220588659","doi":"https://doi.org/10.1007/978-1-4471-5102-9_270-1","mag":"220588659"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4471-5102-9_270-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4471-5102-9_270-1","pdf_url":null,"source":{"id":"https://openalex.org/S4306509393","display_name":"Encyclopedia of Systems and Control","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Systems and Control","raw_type":"book-chapter"},"type":"reference-entry","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-01215556v1/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109995292","display_name":"Pierre Bernhard","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210106545","display_name":"Centre Inria d'Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/01nzkaw91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210106545"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Pierre Bernhard","raw_affiliation_strings":["INRIA-Sophia Antipolis M\u00e9diterran\u00e9e, Sophia Antipolis, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA-Sophia Antipolis M\u00e9diterran\u00e9e, Sophia Antipolis, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210106545"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109995292"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210106545"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T12158","display_name":"Guidance and Control Systems","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9763000011444092,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9710000157356262,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/differential-game","display_name":"Differential game","score":0.7444239854812622},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.6226168870925903},{"id":"https://openalex.org/keywords/evasion","display_name":"Evasion (ethics)","score":0.545953631401062},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5396774411201477},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4953676462173462},{"id":"https://openalex.org/keywords/viscosity-solution","display_name":"Viscosity solution","score":0.4914668798446655},{"id":"https://openalex.org/keywords/zero-sum-game","display_name":"Zero-sum game","score":0.4864389896392822},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.479373961687088},{"id":"https://openalex.org/keywords/pursuit-evasion","display_name":"Pursuit-evasion","score":0.4709899127483368},{"id":"https://openalex.org/keywords/maximum-principle","display_name":"Maximum principle","score":0.44748812913894653},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4272559881210327},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3617432117462158},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.2902491092681885},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2434999644756317},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23526448011398315},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.19067737460136414},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12426355481147766},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.08520552515983582},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07857450842857361}],"concepts":[{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.7444239854812622},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6226168870925903},{"id":"https://openalex.org/C2781251061","wikidata":"https://www.wikidata.org/wiki/Q5416089","display_name":"Evasion (ethics)","level":3,"score":0.545953631401062},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5396774411201477},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4953676462173462},{"id":"https://openalex.org/C88731125","wikidata":"https://www.wikidata.org/wiki/Q7935676","display_name":"Viscosity solution","level":2,"score":0.4914668798446655},{"id":"https://openalex.org/C136356330","wikidata":"https://www.wikidata.org/wiki/Q156612","display_name":"Zero-sum game","level":3,"score":0.4864389896392822},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.479373961687088},{"id":"https://openalex.org/C2778388243","wikidata":"https://www.wikidata.org/wiki/Q7261573","display_name":"Pursuit-evasion","level":2,"score":0.4709899127483368},{"id":"https://openalex.org/C31010330","wikidata":"https://www.wikidata.org/wiki/Q1914255","display_name":"Maximum principle","level":3,"score":0.44748812913894653},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4272559881210327},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3617432117462158},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.2902491092681885},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2434999644756317},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23526448011398315},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.19067737460136414},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12426355481147766},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.08520552515983582},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07857450842857361},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C203014093","wikidata":"https://www.wikidata.org/wiki/Q101929","display_name":"Immunology","level":1,"score":0.0},{"id":"https://openalex.org/C8891405","wikidata":"https://www.wikidata.org/wiki/Q1059","display_name":"Immune system","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-1-4471-5102-9_270-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4471-5102-9_270-1","pdf_url":null,"source":{"id":"https://openalex.org/S4306509393","display_name":"Encyclopedia of Systems and Control","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Systems and Control","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-01215556v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01215556","pdf_url":"https://inria.hal.science/hal-01215556v1/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Encyclopaedia of Systems and Control, Springer-Verlag, pp.8, 2015, ⟨10.1007/978-1-4471-5102-9_270-1⟩","raw_type":"info:eu-repo/semantics/bookPart"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01215556v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01215556","pdf_url":"https://inria.hal.science/hal-01215556v1/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Encyclopaedia of Systems and Control, Springer-Verlag, pp.8, 2015, ⟨10.1007/978-1-4471-5102-9_270-1⟩","raw_type":"info:eu-repo/semantics/bookPart"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W220588659.pdf","grobid_xml":"https://content.openalex.org/works/W220588659.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W369263919","https://openalex.org/W613164480","https://openalex.org/W627890463","https://openalex.org/W1532111732","https://openalex.org/W1550828720","https://openalex.org/W1578630563","https://openalex.org/W1879112630","https://openalex.org/W1968070254","https://openalex.org/W1978263382","https://openalex.org/W1984940617","https://openalex.org/W1994394740","https://openalex.org/W1997209927","https://openalex.org/W2019928135","https://openalex.org/W2041587439","https://openalex.org/W2046599865","https://openalex.org/W2056616297","https://openalex.org/W2088353628","https://openalex.org/W2088907413","https://openalex.org/W2479505045","https://openalex.org/W2749408143","https://openalex.org/W2888914392","https://openalex.org/W3080477669","https://openalex.org/W3206777520","https://openalex.org/W4244358025","https://openalex.org/W4244726376","https://openalex.org/W4244736992","https://openalex.org/W4296154082"],"related_works":["https://openalex.org/W1994748888","https://openalex.org/W2904176541","https://openalex.org/W2114317113","https://openalex.org/W2523635879","https://openalex.org/W4244879773","https://openalex.org/W1984312855","https://openalex.org/W4253161990","https://openalex.org/W2904453786","https://openalex.org/W3105644870","https://openalex.org/W1978127893"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}