{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,23]],"date-time":"2026-06-23T10:57:46Z","timestamp":1782212266052,"version":"3.54.5"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2011,7,20]],"date-time":"2011-07-20T00:00:00Z","timestamp":1311120000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2013,1]]},"DOI":"10.1007\/s00521-011-0692-5","type":"journal-article","created":{"date-parts":[[2011,7,19]],"date-time":"2011-07-19T03:39:20Z","timestamp":1311046760000},"page":"175-185","source":"Crossref","is-referenced-by-count":48,"title":["Superior robustness of power-sum activation functions in Zhang neural networks for time-varying quadratic programs perturbed with large implementation errors"],"prefix":"10.1007","volume":"22","author":[{"given":"Yiwen","family":"Yang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yunong","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2011,7,20]]},"reference":[{"key":"692_CR1","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511804441","volume-title":"Convex optimization","author":"S Boyd","year":"2004","unstructured":"Boyd S, Vandenberghe L (2004) Convex optimization. Cambridge University Press, New York"},{"key":"692_CR2","doi-asserted-by":"crossref","first-page":"1510","DOI":"10.1137\/S0363012993243022","volume":"33","author":"W Li","year":"1995","unstructured":"Li W (1995) Error bounds for piecewise convex quadratic programs and applications. SIAM J Control Optim 33:1510\u20131529","journal-title":"SIAM J Control Optim"},{"key":"692_CR3","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1109\/TCST.2003.821952","volume":"12","author":"TA Johansen","year":"2004","unstructured":"Johansen TA, Fossen TI, Berge SP (2004) Constrained nonlinear control allocation with singularity avoidance using sequential quadratic programming. IEEE Trans Control Syst Technol 12:211\u2013216","journal-title":"IEEE Trans Control Syst Technol"},{"key":"692_CR4","doi-asserted-by":"crossref","first-page":"1791","DOI":"10.1137\/S0363012900373483","volume":"40","author":"B Fares","year":"2002","unstructured":"Fares B, Noll D, Apkarian P (2002) Robust control via sequential semidefinite programming. SIAM J Control Optim 40:1791\u20131820","journal-title":"SIAM J Control Optim"},{"key":"692_CR5","doi-asserted-by":"crossref","first-page":"1219","DOI":"10.1109\/59.736232","volume":"13","author":"N Grudinin","year":"1998","unstructured":"Grudinin N (1998) Reactive power optimization using successive quadratic programming method. IEEE Trans Power Syst 13:1219\u20131225","journal-title":"IEEE Trans Power Syst"},{"key":"692_CR6","volume-title":"Recurrent neural networks for real-time computation of inverse kinematics of redundant manipulators. Machine intelligence quo vadis?","author":"J Wang","year":"2004","unstructured":"Wang J, Zhang Y (2004) Recurrent neural networks for real-time computation of inverse kinematics of redundant manipulators. Machine intelligence quo vadis? World Scientific, Singapore"},{"key":"692_CR7","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1016\/j.robot.2009.01.002","volume":"57","author":"Y Zhang","year":"2009","unstructured":"Zhang Y, Tan Z, Chen K, Yang Z, Lv X (2009) Repetitive motion of redundant robots planned by three kinds of recurrent neural networks and illustrated with a four-link planar manipulator\u2019s straight-line example. Rob Auton Syst 57:645\u2013651","journal-title":"Rob Auton Syst"},{"key":"692_CR8","doi-asserted-by":"crossref","first-page":"1679","DOI":"10.1016\/j.neucom.2008.07.008","volume":"72","author":"Y Zhang","year":"2009","unstructured":"Zhang Y, Ma W, Li X, Tan H, Chen K (2009) MATLAB Simulink modeling and simulation of LVI-based primal-dual neural network for solving linear and quadratic programs. Neurocomputing 72:1679\u20131687","journal-title":"Neurocomputing"},{"key":"692_CR9","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1080\/03610910601161298","volume":"36","author":"WE Leithead","year":"2007","unstructured":"Leithead WE, Zhang Y (2007) O(N 2)-operation approximation of covariance matrix inverse in Gaussian process regression based on quasi-Newton BFGS method. Commun Stat Simul Comput 36:367\u2013380","journal-title":"Commun Stat Simul Comput"},{"key":"692_CR10","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1137\/S0363012996298795","volume":"38","author":"F Leibfritz","year":"1999","unstructured":"Leibfritz F, Sachs EW (1999) Inexact SQP interior point methods and large scale optimal control problems. SIAM J Control Optim 38:272\u2013293","journal-title":"SIAM J Control Optim"},{"key":"692_CR11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1017\/S0962492900002518","volume":"4","author":"PT Boggs","year":"1995","unstructured":"Boggs PT, Tolle JW (1995) Sequential quadratic programming. Acta Numer 4:1\u201351","journal-title":"Acta Numer"},{"key":"692_CR12","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1023\/A:1008671829454","volume":"7","author":"W Murray","year":"1997","unstructured":"Murray W (1997) Sequential quadratic programming methods for large-scale problems. Comput Optim Appl 7:127\u2013142","journal-title":"Comput Optim Appl"},{"key":"692_CR13","doi-asserted-by":"crossref","first-page":"2680","DOI":"10.1109\/TAP.2005.851871","volume":"53","author":"J Hu","year":"2005","unstructured":"Hu J, Wu Z, McCann H, Davis LE, Xie C (2005) Sequential quadratic programming method for solution of electromagnetic inverse problems. IEEE Trans Antennas Propag 53:2680\u20132687","journal-title":"IEEE Trans Antennas Propag"},{"key":"692_CR14","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1109\/TCS.1984.1085482","volume":"31","author":"LO Chua","year":"1984","unstructured":"Chua LO, Lin G (1984) Nonlinear programming without computation. IEEE Trans Circuits Syst 31:182\u2013188","journal-title":"IEEE Trans Circuits Syst"},{"key":"692_CR15","doi-asserted-by":"crossref","first-page":"554","DOI":"10.1109\/31.1783","volume":"35","author":"MP Kennedy","year":"1988","unstructured":"Kennedy MP, Chua LO (1988) Neural networks for nonlinear programming. IEEE Trans Circuits Syst 35:554\u2013562","journal-title":"IEEE Trans Circuits Syst"},{"key":"692_CR16","doi-asserted-by":"crossref","first-page":"136","DOI":"10.1007\/s005210170005","volume":"10","author":"M Benson","year":"2001","unstructured":"Benson M, Carrasco RA (2001) Application of a recurrent neural network to space diversity in SDMA and CDMA mobile communication systems. Neural Comput Appl 10:136\u2013147","journal-title":"Neural Comput Appl"},{"key":"692_CR17","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1007\/s00521-003-0349-0","volume":"11","author":"Y Suemitsu","year":"2003","unstructured":"Suemitsu Y, Nara S (2003) A note on time delayed effect in a recurrent neural network model. Neural Comput Appl 11:137\u2013143","journal-title":"Neural Comput Appl"},{"issue":"7","key":"692_CR18","doi-asserted-by":"crossref","first-page":"1405","DOI":"10.1109\/TCSI.2008.2007065","volume":"56","author":"Y Zhang","year":"2009","unstructured":"Zhang Y, Ma W, Cai B (2009) From Zhang neural network to Newton iteration for matrix inversion. IEEE Trans Circuits Syst I 56(7):1405\u20131415","journal-title":"IEEE Trans Circuits Syst I"},{"issue":"6","key":"692_CR19","doi-asserted-by":"crossref","first-page":"1477","DOI":"10.1109\/TNN.2005.857946","volume":"16","author":"Y Zhang","year":"2005","unstructured":"Zhang Y, Ge SS (2005) Design and analysis of a general recurrent neural network model for time-varying matrix inversion. IEEE Trans Neural Netw 16(6):1477\u20131490","journal-title":"IEEE Trans Neural Netw"},{"issue":"5","key":"692_CR20","doi-asserted-by":"crossref","first-page":"1053","DOI":"10.1109\/TNN.2002.1031938","volume":"13","author":"Y Zhang","year":"2002","unstructured":"Zhang Y, Jiang D, Wang J (2002) A recurrent neural network for solving Sylvester equation with time-varying coefficients. IEEE Trans Neural Netw 13(5):1053\u20131063","journal-title":"IEEE Trans Neural Netw"},{"issue":"(10","key":"692_CR21","doi-asserted-by":"crossref","first-page":"7213","DOI":"10.1016\/j.eswa.2010.04.007","volume":"37","author":"Z Li","year":"2010","unstructured":"Li Z, Zhang Y (2010) Improved Zhang neural network model and its solution of time-varying generalized linear matrix equations. Expert Syst Appl 37((10):7213\u20137218","journal-title":"Expert Syst Appl"},{"key":"692_CR22","doi-asserted-by":"crossref","first-page":"1639","DOI":"10.1016\/j.physleta.2009.03.011","volume":"373","author":"Y Zhang","year":"2009","unstructured":"Zhang Y, Li Z (2009) Zhang neural network for online solution of time-varying convex quadratic program subject to time-varying linear-equality constraints. Phys Lett A 373:1639\u20131643","journal-title":"Phys Lett A"},{"key":"692_CR23","doi-asserted-by":"crossref","first-page":"1293","DOI":"10.1109\/72.641452","volume":"8","author":"H Myung","year":"1997","unstructured":"Myung H, Kim J (1997) Time-varying two-phase optimization and its application to neural-network learning. IEEE Trans Neural Netw 8:1293\u20131300","journal-title":"IEEE Trans Neural Netw"},{"key":"692_CR24","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4613-1639-8","volume-title":"Analog VLSI and neural systems","author":"C Mead","year":"1989","unstructured":"Mead C (1989) Analog VLSI and neural systems. Addison-Wesley, Reading"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-011-0692-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-011-0692-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-011-0692-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T02:14:35Z","timestamp":1559096075000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-011-0692-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,7,20]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2013,1]]}},"alternative-id":["692"],"URL":"https:\/\/doi.org\/10.1007\/s00521-011-0692-5","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,7,20]]}}}