{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,8,29]],"date-time":"2023-08-29T05:16:50Z","timestamp":1693286210929},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2010,8,5]],"date-time":"2010-08-05T00:00:00Z","timestamp":1280966400000},"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":[[2012,4]]},"DOI":"10.1007\/s00521-010-0431-3","type":"journal-article","created":{"date-parts":[[2010,8,4]],"date-time":"2010-08-04T01:26:55Z","timestamp":1280885215000},"page":"497-503","source":"Crossref","is-referenced-by-count":3,"title":["Solution of generalized matrix Riccati differential equation for indefinite stochastic linear quadratic singular fuzzy system with cross-term using neural networks"],"prefix":"10.1007","volume":"21","author":[{"given":"N.","family":"Kumaresan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,8,5]]},"reference":[{"key":"431_CR1","first-page":"527","volume":"AC-16","author":"M Athens","year":"1971","unstructured":"Athens M (1971) Special issues on linear quadratic Gaussian problem. IEEE Automat Control AC-16:527\u2013869","journal-title":"IEEE Automat Control"},{"key":"431_CR2","doi-asserted-by":"crossref","first-page":"1832","DOI":"10.1016\/j.amc.2006.06.020","volume":"182","author":"P Balasubramaniam","year":"2006","unstructured":"Balasubramaniam P, Abdul Samath J, Kumaresan N, Vincent Antony Kumar A (2006) Solution of matrix Riccati differential equation for the linear quadratic singular system using neural networks. Appl Math Comput 182:1832\u20131839","journal-title":"Appl Math Comput"},{"key":"431_CR3","doi-asserted-by":"crossref","first-page":"1535","DOI":"10.1016\/j.amc.2006.09.072","volume":"187","author":"P Balasubramaniam","year":"2007","unstructured":"Balasubramaniam P, Abdul Samath J, Kumaresan N (2007) Optimal control for nonlinear singular systems with quadratic performance using neural networks. Appl Math Comput 187:1535\u20131543","journal-title":"Appl Math Comput"},{"key":"431_CR4","unstructured":"Bensoussan A (1983) Lecture on stochastic control part I. In: Nonlinear and stochastic control, lecture notes in math. No. 972. Springer, Berlin, pp 1\u201339"},{"key":"431_CR5","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/S0167-6911(99)00091-2","volume":"39","author":"F Bucci","year":"2000","unstructured":"Bucci F, Pandolfi L (2000) The regulator problem with indefinite quadratic cost for boundary control systems: the finite horizon case. Syst Control Lett 39:79\u201386","journal-title":"Syst Control Lett"},{"key":"431_CR6","volume-title":"Singular systems of differential equations","author":"SL Campbell","year":"1980","unstructured":"Campbell SL (1980) Singular systems of differential equations. Pitman, Marshfield"},{"key":"431_CR7","volume-title":"Singular systems of differential equations II","author":"SL Campbell","year":"1982","unstructured":"Campbell SL (1982) Singular systems of differential equations II. Pitman, Marshfield"},{"issue":"5","key":"431_CR8","doi-asserted-by":"crossref","first-page":"1685","DOI":"10.1137\/S0363012996310478","volume":"36","author":"SP Chen","year":"1998","unstructured":"Chen SP, Li XJ, Zho XY (1998) Stochastic linear quadratic regulators with indefinite control weight costs. SIAM J Control Optim 36(5):1685\u20131702","journal-title":"SIAM J Control Optim"},{"key":"431_CR9","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1016\/S0096-3003(03)00766-5","volume":"155","author":"Luo Chengxin","year":"2004","unstructured":"Chengxin Luo, Enmin Feng (2004) Generalized differential Riccati equation and indefinite stochastic linear quadratic control with cross term. Appl Math Comput 155:121\u2013135","journal-title":"Appl Math Comput"},{"key":"431_CR10","doi-asserted-by":"crossref","unstructured":"Choi Chiu H (1990) A survey of numerical methods for solving matrix Riccati differential equation. IEEE Proc Southeastcon 696\u2013700","DOI":"10.1109\/SECON.1990.117906"},{"key":"431_CR11","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1007\/BF01443614","volume":"18","author":"G Da Prato","year":"1988","unstructured":"Da Prato G, Ichikawa A (1988) Quadratic control for linear periodic systems. Appl Math Optim 18:39\u201366","journal-title":"Appl Math Optim"},{"key":"431_CR12","volume-title":"Linear estimation and stochastic control","author":"MHA Davis","year":"1977","unstructured":"Davis MHA (1977) Linear estimation and stochastic control. Chapman and Hall, London"},{"key":"431_CR13","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1017\/S0962492900002439","volume":"5","author":"SW Ellacott","year":"1994","unstructured":"Ellacott SW (1994) Aspects of the numerical analysis of neural networks. Acta Numer 5:145\u2013202","journal-title":"Acta Numer"},{"issue":"6","key":"431_CR14","doi-asserted-by":"crossref","first-page":"989","DOI":"10.1109\/72.329697","volume":"5","author":"MT Hagan","year":"1994","unstructured":"Hagan MT, Menhaj M (1994) Training feedforward networks with the Marquardt algorithm. IEEE Trans Neural Netw 5(6):989\u2013993","journal-title":"IEEE Trans Neural Netw"},{"key":"431_CR15","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1109\/ICNN.1996.548966","volume":"1","author":"FM Ham","year":"1996","unstructured":"Ham FM, Collins EG (1996) A neurocomputing approach for solving the algebraic matrix Riccati equation. Proc IEEE Int Conf Neural Netw 1:617\u2013622","journal-title":"Proc IEEE Int Conf Neural Netw"},{"key":"431_CR16","doi-asserted-by":"crossref","first-page":"919","DOI":"10.1109\/72.286887","volume":"4","author":"A Karakasoglu","year":"1993","unstructured":"Karakasoglu A, Sudharsanan SL, Sundareshan MK (1993) Identification and decentralized adaptive control using neural networks with application to robotic manipulators. IEEE Trans Neural Netw 4:919\u2013930","journal-title":"IEEE Trans Neural Netw"},{"issue":"9","key":"431_CR17","doi-asserted-by":"crossref","first-page":"2145","DOI":"10.1016\/j.camwa.2008.03.041","volume":"5","author":"N Kumaresan","year":"2008","unstructured":"Kumaresan N, Balasubramaniam P (2008) Optimal control for stochastic nonlinear singular system using neural networks. Comput Math Appl 5(9):2145\u20132154","journal-title":"Comput Math Appl"},{"key":"431_CR18","doi-asserted-by":"crossref","first-page":"482","DOI":"10.1016\/j.jprocont.2008.05.006","volume":"19","author":"N Kumaresan","year":"2009","unstructured":"Kumaresan N, Balasubramaniam P (2009) Optimal control for stochastic linear singular systems using neural networks. J Process Control 19:482-488","journal-title":"J Process Control"},{"key":"431_CR19","first-page":"467","volume":"16","author":"N Kumaresan","year":"2008","unstructured":"Kumaresan N, Balasubramaniam P (2008) Optimal control for stochastic linear singular system with indefinite cost and cross term using neural networks. Neural Parallel Sci Comput 16:467\u2013480","journal-title":"Neural Parallel Sci Comput"},{"key":"431_CR20","doi-asserted-by":"crossref","first-page":"987","DOI":"10.1109\/72.712178","volume":"9","author":"IE Lagaris","year":"1998","unstructured":"Lagaris IE, Likas A, Fotiadis DI (1998) Artificial neural networks for solving ordinary and partial differential equations. IEEE Trans Neural Netw 9:987\u20131000","journal-title":"IEEE Trans Neural Netw"},{"issue":"1","key":"431_CR21","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/BF01600184","volume":"5","author":"FL Lewis","year":"1986","unstructured":"Lewis FL (1986) A survey of linear singular systems. Circ Syst Sig Proc 5(1):3\u201336","journal-title":"Circ Syst Sig Proc"},{"key":"431_CR22","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1109\/72.80202","volume":"1","author":"KS Narendra","year":"1990","unstructured":"Narendra KS, Parathasarathy K (1990) Identification and control of dynamical systems using neural networks. IEEE Trans Neural Netw 1:4\u201327","journal-title":"IEEE Trans Neural Netw"},{"key":"431_CR23","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1109\/IJCNN.1990.137819","volume":"III","author":"D Nguyen","year":"1990","unstructured":"Nguyen D, Widrow B (1990) Improving the learning speed of 2-layer neural networks by choosing initial values of the adaptive weights. Proc Int Joint Conf Neural Netw III:21\u201326","journal-title":"Proc Int Joint Conf Neural Netw"},{"key":"431_CR24","unstructured":"Paplinski AP (2004) Lecture notes on feedforward multilayer neural networks NNet(L.5)"},{"issue":"1","key":"431_CR25","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1109\/91.660813","volume":"6","author":"LX Wang","year":"1998","unstructured":"Wang LX (1998) Stable and optimal fuzzy control of linear systems. IEEE Trans Fuzzy Syst 6(1):137\u2013143","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"431_CR26","doi-asserted-by":"crossref","first-page":"939","DOI":"10.1016\/S0893-6080(98)00034-3","volume":"11","author":"J Wang","year":"1998","unstructured":"Wang J, Wu G (1998) A multilayer recurrent neural network for solving continuous time algebraic Riccati equations. Neural Netw 11:939\u2013950","journal-title":"Neural Netw"},{"key":"431_CR27","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-84628-614-8","volume-title":"Neural network models, 2nd edn","author":"P De Wilde","year":"1997","unstructured":"Wilde P De (1997) Neural network models, 2nd edn. Springer, London"},{"key":"431_CR28","doi-asserted-by":"crossref","first-page":"681","DOI":"10.1137\/0306044","volume":"6","author":"WM Wonham","year":"1968","unstructured":"Wonham WM (1968) On a matrix Riccati equation of stochastic control. SIAM J Control Optim 6:681\u2013697","journal-title":"SIAM J Control Optim"},{"key":"431_CR29","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1016\/j.fss.2005.03.011","volume":"154","author":"SJ Wu","year":"2005","unstructured":"Wu SJ, Chiang HH, Lin HT, Lee TT (2005) Neural network based optimal fuzzy controller design for nonlinear systems. Fuzzy Set Syst 154:182\u2013207","journal-title":"Fuzzy Set Syst"},{"issue":"8","key":"431_CR30","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1016\/0020-0255(75)90036-5","volume":"Part I","author":"LA Zadeh","year":"1975","unstructured":"Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning. Inform Sci Part I(8):199\u2013249","journal-title":"Inform Sci"},{"issue":"8","key":"431_CR31","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/0020-0255(75)90046-8","volume":"Part II","author":"LA Zadeh","year":"1975","unstructured":"Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning. Inform Sci Part II(8):301\u2013357","journal-title":"Inform Sci"},{"issue":"9","key":"431_CR32","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/0020-0255(75)90017-1","volume":"Part III","author":"LA Zadeh","year":"1975","unstructured":"Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning. Inform Sci Part III(9):43\u201380","journal-title":"Inform Sci"},{"key":"431_CR33","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1080\/10556780310001636657","volume":"18","author":"J Zhu","year":"2003","unstructured":"Zhu J, Li K (2003) An iterative method for solving stochastic Riccati differential equations for the stochastic LQR problem. Optim Methods Softw 18:721\u2013732","journal-title":"Optim Methods Softw"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-010-0431-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-010-0431-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-010-0431-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T06:33:59Z","timestamp":1559370839000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-010-0431-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,8,5]]},"references-count":33,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2012,4]]}},"alternative-id":["431"],"URL":"https:\/\/doi.org\/10.1007\/s00521-010-0431-3","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,8,5]]}}}