{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T16:03:58Z","timestamp":1761581038369},"reference-count":35,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[2012,11,8]],"date-time":"2012-11-08T00:00:00Z","timestamp":1352332800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Comput & Applic"],"published-print":{"date-parts":[[2014,3]]},"DOI":"10.1007\/s00521-012-1238-1","type":"journal-article","created":{"date-parts":[[2012,11,7]],"date-time":"2012-11-07T04:19:32Z","timestamp":1352261972000},"page":"531-538","source":"Crossref","is-referenced-by-count":20,"title":["Optimal tracking control of a class of nonlinear discrete-time switched systems using adaptive dynamic programming"],"prefix":"10.1007","volume":"24","author":[{"given":"Chunbin","family":"Qin","sequence":"first","affiliation":[]},{"given":"Huaguang","family":"Zhang","sequence":"additional","affiliation":[]},{"given":"Yanhong","family":"Luo","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,11,8]]},"reference":[{"key":"1238_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0017-8","volume-title":"Switching in systems and control","author":"D Liberzon","year":"2003","unstructured":"Liberzon D (2003) Switching in systems and control. Birkhauser, Boston"},{"key":"1238_CR2","doi-asserted-by":"crossref","first-page":"1709","DOI":"10.1016\/j.automatica.2005.04.017","volume":"41","author":"F Borrelli","year":"2005","unstructured":"Borrelli F, Baoti\u0107 M, Bemporad A, Morari M (2005) Dynamic programming for constrained optimal control of discrete-time linear hybrid systems. Automatica 41:1709\u20131721","journal-title":"Automatica"},{"key":"1238_CR3","doi-asserted-by":"crossref","first-page":"945","DOI":"10.1080\/00207720802645253","volume":"40","author":"T Chai","year":"2009","unstructured":"Chai T, Geng Z, Yue H, Wang H, Su C (2009) A hybrid intelligent optimal control method for complex flotation process. Int J Syst Sci 40:945\u2013960","journal-title":"Int J Syst Sci"},{"key":"1238_CR4","doi-asserted-by":"crossref","first-page":"1015","DOI":"10.1016\/j.sysconle.2006.06.014","volume":"55","author":"H Gao","year":"2006","unstructured":"Gao H, Lam J, Wang C (2006) Model simplification for switched hybrid systems. Syst Control Lett 55:1015\u20131021","journal-title":"Syst Control Lett"},{"key":"1238_CR5","doi-asserted-by":"crossref","first-page":"1003","DOI":"10.1080\/00207720902974736","volume":"41","author":"B Jiang","year":"2010","unstructured":"Jiang B, Yang H, Shi P (2010) Switching fault tolerant control design via global dissipativity. Int J Syst Sci 41:1003\u20131012","journal-title":"Int J Syst Sci"},{"key":"1238_CR6","doi-asserted-by":"crossref","first-page":"1057","DOI":"10.1080\/00207720903201865","volume":"41","author":"W Ni","year":"2010","unstructured":"Ni W, Cheng D (2010) Control of switched linear systems with input saturation. Int J Syst Sci 41:1057\u20131065","journal-title":"Int J Syst Sci"},{"key":"1238_CR7","doi-asserted-by":"crossref","first-page":"726","DOI":"10.1109\/TAC.2006.875053","volume":"51","author":"C Seatzu","year":"2006","unstructured":"Seatzu C, Corona D, Giua A, Bempoard A (2006) Optimal control of continuous time switched affine systems. IEEE Trans Autom Control 51:726\u2013741","journal-title":"IEEE Trans Autom Control"},{"key":"1238_CR8","doi-asserted-by":"crossref","first-page":"1520","DOI":"10.1109\/TAC.2007.902777","volume":"52","author":"D Du","year":"2007","unstructured":"Du D, Jiang B, Shi P, Zhou S (2007) H $$\\infty$$ Filtering of discrete-time switched systems with state delays via switched lyapunov function approach. IEEE Trans Autom Control 52:1520\u20131525","journal-title":"IEEE Trans Autom Control"},{"key":"1238_CR9","doi-asserted-by":"crossref","first-page":"953","DOI":"10.1016\/j.automatica.2010.02.021","volume":"46","author":"L Zhang","year":"2010","unstructured":"Zhang L, Gao H (2010) Asynchronously switched control of switched linear systems with average dwell time. Automatica 46:953\u2013958","journal-title":"Automatica"},{"key":"1238_CR10","doi-asserted-by":"crossref","unstructured":"Niu B, Zhao J Tracking control for output-constrained nonlinear switched systems with a barrier Lyapunov function. Int J Syst Sci. doi: 10.1080\/00207721.2011.652222","DOI":"10.1080\/00207721.2011.652222"},{"key":"1238_CR11","doi-asserted-by":"crossref","first-page":"2274","DOI":"10.1016\/j.neucom.2010.03.012","volume":"73","author":"L Yu","year":"2010","unstructured":"Yu L, Fei S, Li X (2010) Robust adaptive neural tracking control for a class of switched affine nonlinear systems. Neurocomputing 73:2274\u20132279","journal-title":"Neurocomputing"},{"key":"1238_CR12","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1016\/j.nahs.2008.11.004","volume":"3","author":"Q Li","year":"2009","unstructured":"Li Q, Zhao J, Dimirovski G (2009) Tracking control for switched time-varying delays systems with stabilizable and unstabilizable subsystems. Nonlinear Anal Hybrid Syst 3:133\u2013142","journal-title":"Nonlinear Anal Hybrid Syst"},{"issue":"2","key":"1238_CR13","doi-asserted-by":"crossref","first-page":"394","DOI":"10.1080\/00207170903177766","volume":"83","author":"M Wang","year":"2010","unstructured":"Wang M, Zhao J, Dimirovski G (2010) Output tracking control of nonlinear switched cascade systems using a variable structure control method. Int J Control 83(2):394\u2013403","journal-title":"Int J Control"},{"key":"1238_CR14","doi-asserted-by":"crossref","first-page":"2873","DOI":"10.1016\/j.neucom.2010.08.008","volume":"73","author":"D Lin","year":"2010","unstructured":"Lin D, Wang X, Nian F, Zhang Y (2010) Dynamic fuzzy neural networks modeling and adaptive backstepping tracking control of uncertain chaotic systems. Neurocomputing 73:2873\u20132881","journal-title":"Neurocomputing"},{"issue":"4","key":"1238_CR15","doi-asserted-by":"crossref","first-page":"2889","DOI":"10.1007\/s11071-011-0196-y","volume":"67","author":"D Lin","year":"2012","unstructured":"Lin D, Wang X, Yao Y (2012) Fuzzy neural adaptive tracking control of unknown chaotic systems with input saturation. Nonlinear Dyn 67(4):2889\u20132897","journal-title":"Nonlinear Dyn"},{"key":"1238_CR16","volume-title":"Dynamic programming","author":"RE Bellman","year":"1957","unstructured":"Bellman RE (1957) Dynamic programming. Princeton University Press, Princeton"},{"key":"1238_CR17","doi-asserted-by":"crossref","unstructured":"Xu X-P, Antsaklis P-J (2003) Results and perspectives on computational methods for optimal control of switched systems. In: Maler O, Pnueli A (eds) Hybrid systems: computation and control (HSCC). Springer, Berlin, pp 540\u2013555","DOI":"10.1007\/3-540-36580-X_39"},{"key":"1238_CR18","doi-asserted-by":"crossref","first-page":"1249","DOI":"10.1109\/TAC.2006.878720","volume":"51","author":"B Lincoln","year":"2006","unstructured":"Lincoln B, Rantzer A (2006) Relaxing dynamic programming. IEEE Trans Autom Control 51:1249\u20131260","journal-title":"IEEE Trans Autom Control"},{"key":"1238_CR19","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1109\/TSMCC.2002.801727","volume":"32","author":"JJ Murray","year":"2002","unstructured":"Murray JJ, Cox CJ, Lendaris GG, Saeks R (2002) Adaptive dynamic programming. IEEE Trans Syst Man Cybern Part C Appl Rev 32:140\u2013153","journal-title":"IEEE Trans Syst Man Cybern Part C Appl Rev"},{"key":"1238_CR20","first-page":"9","volume":"43","author":"FY Wang","year":"2009","unstructured":"Wang FY, Zhang H, Liu D (2009) Adaptive dynamic programming: an introduction. IEEE Comput Intell Mag 43:9\u201347","journal-title":"IEEE Comput Intell Mag"},{"key":"1238_CR21","doi-asserted-by":"crossref","first-page":"264","DOI":"10.1109\/72.914523","volume":"12","author":"J Si","year":"2001","unstructured":"Si J, Wang YT (2001) On-line learning control by association and reinforcement. IEEE Trans Neural Netw 12:264\u2013276","journal-title":"IEEE Trans Neural Netw"},{"key":"1238_CR22","doi-asserted-by":"crossref","first-page":"943","DOI":"10.1109\/TSMCB.2008.926614","volume":"38","author":"A Al-Tamimi","year":"2008","unstructured":"Al-Tamimi A, Lewis FL, Abu-Khalaf M (2008) Discrete-time nonlinear HJB solution using approximate dynamic programming: convergence proof. IEEE Trans Syst Man Cybern Part B Cybern 38:943\u2013949","journal-title":"IEEE Trans Syst Man Cybern Part B Cybern"},{"key":"1238_CR23","volume-title":"Neuro-dynamic programming","author":"DP Bertsekas","year":"1996","unstructured":"Bertsekas DP, Tsitsiklis JN (1996) Neuro-dynamic programming. Athena Scientific, Belmont"},{"key":"1238_CR24","doi-asserted-by":"crossref","first-page":"997","DOI":"10.1109\/72.623201","volume":"8","author":"DV Prokhorov","year":"1997","unstructured":"Prokhorov DV, Wunsch DC (1997) Adaptive critic designs. IEEE Trans Neural Netw 8:997\u20131007","journal-title":"IEEE Trans Neural Netw"},{"key":"1238_CR25","volume-title":"Reinforcement learning: an introduction","author":"RS Sutton","year":"1998","unstructured":"Sutton RS, Barto AG (1998) Reinforcement learning: an introduction. The MIT Press, Cambridge"},{"key":"1238_CR26","doi-asserted-by":"crossref","first-page":"1490","DOI":"10.1109\/TNN.2009.2027233","volume":"20","author":"H Zhang","year":"2009","unstructured":"Zhang H, Luo Y, Liu D (2009) Neural-network-based near-optimal control for a class of discrete-time affine nonlinear systems with control constraints. IEEE Trans Neural Netw 20:1490\u20131503","journal-title":"IEEE Trans Neural Netw"},{"key":"1238_CR27","doi-asserted-by":"crossref","first-page":"2226","DOI":"10.1109\/TNN.2011.2168538","volume":"22","author":"H Zhang","year":"2011","unstructured":"Zhang H, Cui L, Zhang X, Luo Y (2011) Data-driven robust approximate optimal tracking control for unknown general nonlinear systems using adaptive dynamic programming method. IEEE Trans Neural Netw 22:2226\u20132236","journal-title":"IEEE Trans Neural Netw"},{"key":"1238_CR28","doi-asserted-by":"crossref","unstructured":"Cao N, Zhang H, Luo Y, Feng D (2011) Infinite horizon optimal control of affine nonlinear discrete switched systems using two-stage approximate dynamic programming. Int J Syst Sci. doi: 10.1080\/00207721.2010.549590","DOI":"10.1080\/00207721.2010.549590"},{"key":"1238_CR29","doi-asserted-by":"crossref","first-page":"937","DOI":"10.1109\/TSMCB.2008.920269","volume":"38","author":"H Zhang","year":"2008","unstructured":"Zhang H, Wei Q, Luo Y (2008) A novel infinite-time optimal tracking control scheme for a class of discrete-time nonlinear system based on greedy HDP iteration algorithm. IEEE Trans Syst Man Cybern Part B Cybern 38:937\u2013942","journal-title":"IEEE Trans Syst Man Cybern Part B Cybern"},{"key":"1238_CR30","doi-asserted-by":"crossref","unstructured":"Dierks T, Jagannathan S (2009) Optimal tracking control of affine nonlinear discrete-time systems with unknown internal dynamics. In: Proceedings of joint 48th IEEE conference on decision and control and 28th Chinese control conference. Shanghai, PR China, pp 6750\u20136755","DOI":"10.1109\/CDC.2009.5399697"},{"key":"1238_CR31","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/j.neucom.2011.03.058","volume":"78","author":"D Wang","year":"2012","unstructured":"Wang D, Liu D, Wei Q (2012) Finite-horizon neuro-optimal tracking control for a class of discrete-time nonlinear systems using adaptive dynamic programming approach. Neurocomputing 78:14\u201322","journal-title":"Neurocomputing"},{"key":"1238_CR32","doi-asserted-by":"crossref","first-page":"1099","DOI":"10.1109\/72.536307","volume":"7","author":"Y Park","year":"1996","unstructured":"Park Y, Choi M, Lee K (1996) An optimal tracking neuro-controller for nonlinear dynamic systems. IEEE Trans Neural Netw 7:1099\u20131110","journal-title":"IEEE Trans Neural Netw"},{"issue":"15","key":"1238_CR33","doi-asserted-by":"crossref","first-page":"2066","DOI":"10.1016\/j.fss.2010.03.006","volume":"161","author":"D Lin","year":"2010","unstructured":"Lin D, Wang X (2010) Observer-based decentralized fuzzy neural sliding mode control for interconnected unknown chaotic systems via network structure adaptation. Fuzzy Sets Syst 161(15):2066\u20132080","journal-title":"Fuzzy Sets Syst"},{"key":"1238_CR34","doi-asserted-by":"crossref","first-page":"3224","DOI":"10.1016\/j.neucom.2010.05.011","volume":"73","author":"X Wang","year":"2010","unstructured":"Wang X, Zhao J (2010) Cryptanalysis on a parallel keyed hash function based on chaotic neural network. Neurocomputing 73:3224\u20133228","journal-title":"Neurocomputing"},{"key":"1238_CR35","doi-asserted-by":"crossref","first-page":"2241","DOI":"10.1016\/j.neucom.2011.03.003","volume":"74","author":"D Lin","year":"2011","unstructured":"Lin D, Wang X (2011) Self-organizing adaptive fuzzy neural control for the synchronization of uncertain chaotic systems with random-varying parameters. Neurocomputing 74:2241\u20132249","journal-title":"Neurocomputing"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-012-1238-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-012-1238-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-012-1238-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,5]],"date-time":"2019-07-05T05:48:43Z","timestamp":1562305723000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-012-1238-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,11,8]]},"references-count":35,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2014,3]]}},"alternative-id":["1238"],"URL":"https:\/\/doi.org\/10.1007\/s00521-012-1238-1","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,11,8]]}}}