{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T23:38:00Z","timestamp":1769729880860,"version":"3.49.0"},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2013,12,1]],"date-time":"2013-12-01T00:00:00Z","timestamp":1385856000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Syst Sci Complex"],"published-print":{"date-parts":[[2013,12]]},"DOI":"10.1007\/s11424-013-1082-0","type":"journal-article","created":{"date-parts":[[2013,12,12]],"date-time":"2013-12-12T01:43:51Z","timestamp":1386812631000},"page":"925-939","source":"Crossref","is-referenced-by-count":8,"title":["Global input-to-state stabilization with quantized feedback for discrete-time piecewise affine systems with time delays"],"prefix":"10.1007","volume":"26","author":[{"given":"Xiaowu","family":"Mu","sequence":"first","affiliation":[]},{"given":"Yang","family":"Gao","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,12,13]]},"reference":[{"key":"1082_CR1","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1109\/9.28018","volume":"34","author":"E Sontag","year":"1989","unstructured":"Sontag E, Smooth stabilization implies coprime factorization, IEEE Transactions on Automatic Control, 1989, 34: 435\u2013443.","journal-title":"IEEE Transactions on Automatic Control"},{"key":"1082_CR2","doi-asserted-by":"crossref","first-page":"1082","DOI":"10.1109\/9.863594","volume":"45","author":"D Angeli","year":"2000","unstructured":"Angeli D, Sontag E D, and Wang Y, A characterization of integral input-to-state stability, IEEE Transactions on Automatic Control, 2000, 45: 1082\u20131097.","journal-title":"IEEE Transactions on Automatic Control"},{"key":"1082_CR3","doi-asserted-by":"crossref","first-page":"1211","DOI":"10.1016\/0005-1098(96)00051-9","volume":"32","author":"Z P Jiang","year":"1996","unstructured":"Jiang Z P, Mareels I, and Wang Y, A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems, Automatica, 1996, 32: 1211\u20131215.","journal-title":"Automatica"},{"key":"1082_CR4","first-page":"721","volume":"2","author":"M Lazar","year":"2008","unstructured":"Lazar M and Heemels W P M H, Global input-to-state stability and stabilization of discrete-time piecewise affine systems, Nonlinear Analysis: Hybrid Systems, 2008, 2: 721\u2013734.","journal-title":"Nonlinear Analysis: Hybrid Systems"},{"key":"1082_CR5","first-page":"5403","volume-title":"Proc. of the 44th Conf. on Decision and Control","author":"C Cai","year":"2005","unstructured":"Cai C and Teel A R, Results on input-to-state stability for hybrid systems, Proc. of the 44th Conf. on Decision and Control, 2005, 5403\u20135408."},{"key":"1082_CR6","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1016\/j.sysconle.2008.07.009","volume":"58","author":"C Cai","year":"2009","unstructured":"Cai C and Teel A R, Characterizations of input-to-state stability for hybrid systems, Systems & Control Letters, 2009, 58: 47\u201353.","journal-title":"Systems & Control Letters"},{"key":"1082_CR7","doi-asserted-by":"crossref","first-page":"2735","DOI":"10.1016\/j.automatica.2008.03.021","volume":"44","author":"J P Hespanha","year":"2008","unstructured":"Hespanha J P, Liberzon D, and Teel A R, Lyapunov conditions for input-to state stability of impulsive systems, Automatica, 2008, 44: 2735\u20132744.","journal-title":"Automatica"},{"issue":"5","key":"1082_CR8","doi-asserted-by":"crossref","first-page":"899","DOI":"10.1016\/j.automatica.2011.01.061","volume":"47","author":"J Liu","year":"2011","unstructured":"Liu J, Liu X, and Xie W C, Input-to-state stability of impulsive and switching hybrid systems with time-delay, Automatica, 2011, 47(5): 899\u2013908.","journal-title":"Automatica"},{"issue":"8","key":"1082_CR9","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1016\/j.sysconle.2009.03.008","volume":"58","author":"B Liu","year":"2009","unstructured":"Liu B and Hill D J, input-to-state stability for discrete time-delay systems via the Razumikhin technique, System Control Letters, 2009, 58(8): 567\u2013575.","journal-title":"System Control Letters"},{"key":"1082_CR10","first-page":"319","volume":"4","author":"B Liu","year":"2010","unstructured":"Liu B and Hill D J, Uniform stability and ISS of discrete-time impulsive hybrid systems, Nonlinear Analysis: Hybrid Systems, 2010, 4: 319\u2013333.","journal-title":"Nonlinear Analysis: Hybrid Systems"},{"key":"1082_CR11","volume-title":"Proc. Symp. Nonlinear Circuit Theory, VII, Brooklyn, NY","author":"R E Kalman","year":"1956","unstructured":"Kalman R E, Nonlinear aspects of sampled-data control systems, Proc. Symp. Nonlinear Circuit Theory, VII, Brooklyn, NY, 1956."},{"issue":"11","key":"1082_CR12","doi-asserted-by":"crossref","first-page":"1698","DOI":"10.1109\/TAC.2005.858689","volume":"50","author":"M Y Fu","year":"2005","unstructured":"Fu M Y and Xie L H, The sector bound approach to quantized feedback control, IEEE Transactions on Automatic Control, 2005, 50(11): 1698\u20131711.","journal-title":"IEEE Transactions on Automatic Control"},{"key":"1082_CR13","first-page":"461","volume":"56","author":"F Ceragioli","year":"2007","unstructured":"Ceragioli F and De Persis C, Discontinuous stabilization of nonlinear systems: Quantized and switching controls, Automatica, 2007, 56: 461\u2013473.","journal-title":"Automatica"},{"key":"1082_CR14","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1109\/9.52307","volume":"35","author":"E D Sontag","year":"1990","unstructured":"Sontag E D, Further facts about input to state stabilization, IEEE Transactions on Automatic Control, 1990, 35: 473\u2013476.","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"7","key":"1082_CR15","doi-asserted-by":"crossref","first-page":"960","DOI":"10.1109\/9.701099","volume":"43","author":"A R Teel","year":"1998","unstructured":"Teel A R, Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem, IEEE Transactions on Automatic Control, 1998, 43(7): 960\u2013964.","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"12","key":"1082_CR16","doi-asserted-by":"crossref","first-page":"1006","DOI":"10.1016\/j.sysconle.2006.06.013","volume":"55","author":"P Pepe","year":"2006","unstructured":"Pepe P and Jiang Z P, A Lyapunov-Krasovskii methodology for ISS and iISS of time-delay systems, Systems Control Letters, 2006, 55(12): 1006\u20131014.","journal-title":"Systems Control Letters"},{"key":"1082_CR17","doi-asserted-by":"crossref","first-page":"3079","DOI":"10.1016\/j.automatica.2008.04.025","volume":"44","author":"W P M H Heemels","year":"2008","unstructured":"Heemels W P M H and Weiland S, Input-to-state stability and interconnections of discontinuous dynamical systems, Automatica, 2008, 44: 3079\u20133086.","journal-title":"Automatica"},{"key":"1082_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-4342-7","volume-title":"Introduction to Functional Differential Equations","author":"J K Hale","year":"1993","unstructured":"Hale J K and Verduyn Lunel S M, Introduction to Functional Differential Equations, Springer, Berlin, 1993."},{"issue":"6","key":"1082_CR19","doi-asserted-by":"crossref","first-page":"857","DOI":"10.1016\/S0005-1098(01)00028-0","volume":"37","author":"Z P Jiang","year":"2001","unstructured":"Jiang Z P and Wang Y, Input-to-state stability for discrete-time nonlinear systems, Automatica, 2001, 37(6): 857\u2013869.","journal-title":"Automatica"}],"container-title":["Journal of Systems Science and Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-013-1082-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11424-013-1082-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-013-1082-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T14:54:04Z","timestamp":1559400844000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11424-013-1082-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,12]]},"references-count":19,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2013,12]]}},"alternative-id":["1082"],"URL":"https:\/\/doi.org\/10.1007\/s11424-013-1082-0","relation":{},"ISSN":["1009-6124","1559-7067"],"issn-type":[{"value":"1009-6124","type":"print"},{"value":"1559-7067","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,12]]}}}