Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W3007004080', 'doi': 'https://doi.org/10.1002/rnc.4935', 'title': 'Krasovskii and Razumikhin criteria on input‐to‐state stability of discrete‐time time‐varying switched delayed systems', 'display_name': 'Krasovskii and Razumikhin criteria on input‐to‐state stability of discrete‐time time‐varying switched delayed systems', 'publication_year': 2020, 'publication_date': '2020-02-24', 'ids': {'openalex': 'https://openalex.org/W3007004080', 'doi': 'https://doi.org/10.1002/rnc.4935', 'mag': '3007004080'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1002/rnc.4935', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S156578089', 'display_name': 'International Journal of Robust and Nonlinear Control', 'issn_l': '1049-8923', 'issn': ['1049-8923', '1099-1239'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320595', 'host_organization_name': 'Wiley', 'host_organization_lineage': ['https://openalex.org/P4310320595'], 'host_organization_lineage_names': ['Wiley'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5007074476', 'display_name': 'Shiguo Peng', 'orcid': 'https://orcid.org/0000-0001-7129-7460'}, 'institutions': [{'id': 'https://openalex.org/I139024713', 'display_name': 'Guangdong University of Technology', 'ror': 'https://ror.org/04azbjn80', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I139024713']}], 'countries': ['CN'], 'is_corresponding': True, 'raw_author_name': 'Shiguo Peng', 'raw_affiliation_strings': ['School of Automation, Guangdong University of Technology, Guangzhou, China'], 'affiliations': [{'raw_affiliation_string': 'School of Automation, Guangdong University of Technology, Guangzhou, China', 'institution_ids': ['https://openalex.org/I139024713']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5063134490', 'display_name': 'Feiqi Deng', 'orcid': 'https://orcid.org/0000-0002-0257-5647'}, 'institutions': [{'id': 'https://openalex.org/I90610280', 'display_name': 'South China University of Technology', 'ror': 'https://ror.org/0530pts50', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I90610280']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Feiqi Deng', 'raw_affiliation_strings': ['School of Automation Science and Engineering, South China University of Technology, Guangzhou, China'], 'affiliations': [{'raw_affiliation_string': 'School of Automation Science and Engineering, South China University of Technology, Guangzhou, China', 'institution_ids': ['https://openalex.org/I90610280']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5008007155', 'display_name': 'Mingqing Xiao', 'orcid': 'https://orcid.org/0000-0003-3241-4112'}, 'institutions': [{'id': 'https://openalex.org/I110378019', 'display_name': 'Southern Illinois University Carbondale', 'ror': 'https://ror.org/049kefs16', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I110378019', 'https://openalex.org/I2801502357']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Mingqing Xiao', 'raw_affiliation_strings': ['Department of Mathematics, Southern Illinois University, Carbondale, Illinois'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Southern Illinois University, Carbondale, Illinois', 'institution_ids': ['https://openalex.org/I110378019']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5067632093', 'display_name': 'Yonghua Wang', 'orcid': 'https://orcid.org/0000-0002-0051-7224'}, 'institutions': [{'id': 'https://openalex.org/I139024713', 'display_name': 'Guangdong University of Technology', 'ror': 'https://ror.org/04azbjn80', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I139024713']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Yonghua Wang', 'raw_affiliation_strings': ['School of Automation, Guangdong University of Technology, Guangzhou, China'], 'affiliations': [{'raw_affiliation_string': 'School of Automation, Guangdong University of Technology, Guangzhou, China', 'institution_ids': ['https://openalex.org/I139024713']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 3, 'corresponding_author_ids': ['https://openalex.org/A5007074476'], 'corresponding_institution_ids': ['https://openalex.org/I139024713'], 'apc_list': {'value': 4070, 'currency': 'USD', 'value_usd': 4070, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.894, 'has_fulltext': False, 'cited_by_count': 8, 'citation_normalized_percentile': {'value': 0.839245, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 84, 'max': 85}, 'biblio': {'volume': '30', 'issue': '8', 'first_page': '3179', 'last_page': '3193'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11347', 'display_name': 'Neural Networks Stability and Synchronization', 'score': 0.9999, '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'}}, 'topics': [{'id': 'https://openalex.org/T11347', 'display_name': 'Neural Networks Stability and Synchronization', 'score': 0.9999, '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/T10046', 'display_name': 'Stability and Control of Uncertain Systems', 'score': 0.9993, '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/T12772', 'display_name': 'Control and Stability of Dynamical Systems', 'score': 0.9921, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/dwell-time', 'display_name': 'Dwell time', 'score': 0.9204508}, {'id': 'https://openalex.org/keywords/mode', 'display_name': 'Mode (computer interface)', 'score': 0.6718811}], 'concepts': [{'id': 'https://openalex.org/C151637689', 'wikidata': 'https://www.wikidata.org/wiki/Q5318064', 'display_name': 'Dwell time', 'level': 2, 'score': 0.9204508}, {'id': 'https://openalex.org/C55689738', 'wikidata': 'https://www.wikidata.org/wiki/Q15963867', 'display_name': 'Discrete time and continuous time', 'level': 2, 'score': 0.7669173}, {'id': 'https://openalex.org/C47446073', 'wikidata': 'https://www.wikidata.org/wiki/Q5165890', 'display_name': 'Control theory (sociology)', 'level': 3, 'score': 0.6930499}, {'id': 'https://openalex.org/C48677424', 'wikidata': 'https://www.wikidata.org/wiki/Q6888088', 'display_name': 'Mode (computer interface)', 'level': 2, 'score': 0.6718811}, {'id': 'https://openalex.org/C112972136', 'wikidata': 'https://www.wikidata.org/wiki/Q7595718', 'display_name': 'Stability (learning theory)', 'level': 2, 'score': 0.65276384}, {'id': 'https://openalex.org/C48103436', 'wikidata': 'https://www.wikidata.org/wiki/Q599031', 'display_name': 'State (computer science)', 'level': 2, 'score': 0.63276076}, {'id': 'https://openalex.org/C14036430', 'wikidata': 'https://www.wikidata.org/wiki/Q3736076', 'display_name': 'Function (biology)', 'level': 2, 'score': 0.5910402}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5127574}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.45457903}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.22838497}, {'id': 'https://openalex.org/C2775924081', 'wikidata': 'https://www.wikidata.org/wiki/Q55608371', 'display_name': 'Control (management)', 'level': 2, 'score': 0.22114432}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.12890911}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.06735292}, {'id': 'https://openalex.org/C71924100', 'wikidata': 'https://www.wikidata.org/wiki/Q11190', 'display_name': 'Medicine', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C70410870', 'wikidata': 'https://www.wikidata.org/wiki/Q199906', 'display_name': 'Clinical psychology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C119857082', 'wikidata': 'https://www.wikidata.org/wiki/Q2539', 'display_name': 'Machine learning', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C78458016', 'wikidata': 'https://www.wikidata.org/wiki/Q840400', 'display_name': 'Evolutionary biology', '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/C111919701', 'wikidata': 'https://www.wikidata.org/wiki/Q9135', 'display_name': 'Operating system', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1002/rnc.4935', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S156578089', 'display_name': 'International Journal of Robust and Nonlinear Control', 'issn_l': '1049-8923', 'issn': ['1049-8923', '1099-1239'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320595', 'host_organization_name': 'Wiley', 'host_organization_lineage': ['https://openalex.org/P4310320595'], 'host_organization_lineage_names': ['Wiley'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [{'funder': 'https://openalex.org/F4320321921', 'funder_display_name': 'Natural Science Foundation of Guangdong Province', 'award_id': '2019A1515012104'}], 'datasets': [], 'versions': [], 'referenced_works_count': 38, 'referenced_works': ['https://openalex.org/W1552094772', 'https://openalex.org/W1900371862', 'https://openalex.org/W1980713841', 'https://openalex.org/W1987490739', 'https://openalex.org/W1990666167', 'https://openalex.org/W1995063858', 'https://openalex.org/W1996505464', 'https://openalex.org/W2017493230', 'https://openalex.org/W2020000021', 'https://openalex.org/W2021077783', 'https://openalex.org/W2031780472', 'https://openalex.org/W2038137192', 'https://openalex.org/W2058841070', 'https://openalex.org/W2061440140', 'https://openalex.org/W2062974796', 'https://openalex.org/W2091390230', 'https://openalex.org/W2096462573', 'https://openalex.org/W2104958104', 'https://openalex.org/W2116680678', 'https://openalex.org/W2118741873', 'https://openalex.org/W2130238423', 'https://openalex.org/W2142457049', 'https://openalex.org/W2165832277', 'https://openalex.org/W2180470641', 'https://openalex.org/W2473400374', 'https://openalex.org/W2513727280', 'https://openalex.org/W2531267560', 'https://openalex.org/W2555666496', 'https://openalex.org/W2605634350', 'https://openalex.org/W2743087337', 'https://openalex.org/W2751112022', 'https://openalex.org/W2767940551', 'https://openalex.org/W2791420330', 'https://openalex.org/W2797741198', 'https://openalex.org/W2800188922', 'https://openalex.org/W2888301886', 'https://openalex.org/W2964257525', 'https://openalex.org/W4232529141'], 'related_works': ['https://openalex.org/W4280579534', 'https://openalex.org/W3068859459', 'https://openalex.org/W2981305970', 'https://openalex.org/W2917177193', 'https://openalex.org/W2767358489', 'https://openalex.org/W2497626843', 'https://openalex.org/W2407712845', 'https://openalex.org/W2055077105', 'https://openalex.org/W2018232565', 'https://openalex.org/W1702564586'], 'abstract_inverted_index': {'Summary': [0], 'In': [1], 'this': [2, 59], 'article,': [3], 'we': [4, 130], 'are': [5, 26, 79], 'concerned': [6], 'with': [7, 144], 'the': [8, 30, 45, 48, 53, 63, 66, 71, 95, 111, 114, 150, 153], 'problem': [9], 'on': [10], 'input‐to‐state': [11], 'stability': [12], '(ISS)': [13], 'for': [14, 70, 136], 'discrete‐time': [15, 137], 'time‐varying': [16, 138], 'switched': [17, 97, 139], 'delayed': [18, 140], 'systems.': [19], 'Some': [20], 'Krasovskii': [21, 73], 'and': [22, 38, 75, 85, 91, 94, 107], 'Razumikhin': [23, 77], 'ISS': [24, 105, 134], 'criteria': [25], 'provided': [27], 'by': [28], 'using': [29], 'notions': [31], 'of': [32, 47, 50, 55, 65, 113, 116, 152], 'uniformly': [33], 'asymptotically': [34], 'stable': [35], '(UAS)': [36], 'function': [37], 'mode‐dependent': [39, 72, 76], 'average': [40, 124], 'dwell': [41, 125], 'time': [42], '(MDADT).': [43], 'With': [44, 110], 'help': [46], 'concept': [49], 'UAS': [51], 'function,': [52], 'advantage': [54], 'our': [56], 'results': [57], 'in': [58], 'article': [60], 'is': [61], 'that': [62], 'coefficients': [64], 'first‐order': [67], 'difference': [68], 'inequalities': [69], 'functionals': [74], 'functions': [78], 'allowed': [80, 101], 'to': [81, 102], 'be': [82, 100], 'time‐varying,': [83], 'mode‐dependent,': [84], 'can': [86, 99, 120], 'even': [87], 'take': [88], 'both': [89, 104], 'positive': [90], 'negative': [92], 'values,': [93], 'whole': [96], 'system': [98], 'have': [103, 121], 'subsystems': [106], 'non‐ISS': [108], 'subsystems.': [109], 'aid': [112], 'notion': [115], 'MDADT,': [117], 'each': [118], 'subsystem': [119], 'its': [122], 'own': [123], 'time.': [126], 'As': [127], 'an': [128, 133], 'application,': [129], 'also': [131], 'provide': [132], 'criterion': [135], 'Hopfield': [141], 'neural': [142], 'networks': [143], 'disturbance': [145], 'inputs.': [146], 'Numerical': [147], 'simulations': [148], 'verify': [149], 'effectiveness': [151], 'established': [154], 'criteria.': [155]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3007004080', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2023, 'cited_by_count': 1}, {'year': 2022, 'cited_by_count': 3}, {'year': 2021, 'cited_by_count': 3}], 'updated_date': '2024-12-09T20:56:23.740118', 'created_date': '2020-03-06'}