{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,27]],"date-time":"2026-05-27T13:34:31Z","timestamp":1779888871120,"version":"3.53.1"},"reference-count":58,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2020,7,10]],"date-time":"2020-07-10T00:00:00Z","timestamp":1594339200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,7,10]],"date-time":"2020-07-10T00:00:00Z","timestamp":1594339200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61976230"],"award-info":[{"award-number":["61976230"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Shenzhen Science and Technology Plan Project","award":["JCYJ20170818154936083"],"award-info":[{"award-number":["JCYJ20170818154936083"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2021,4]]},"DOI":"10.1007\/s11075-020-00946-1","type":"journal-article","created":{"date-parts":[[2020,7,10]],"date-time":"2020-07-10T01:03:34Z","timestamp":1594343014000},"page":"1591-1614","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Continuous and discrete zeroing dynamics models using JMP function array and design formula for solving time-varying Sylvester-transpose matrix inequality"],"prefix":"10.1007","volume":"86","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2228-0395","authenticated-orcid":false,"given":"Yunong","family":"Zhang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiao","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yihong","family":"Ling","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Min","family":"Yang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Huanchang","family":"Huang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2020,7,10]]},"reference":[{"issue":"11","key":"946_CR1","doi-asserted-by":"crossref","first-page":"2500","DOI":"10.1109\/TAC.2010.2046926","volume":"55","author":"G Chesi","year":"2010","unstructured":"Chesi, G.: LMI techniques for optimization over polynomials in control: a survey. IEEE Trans. Autom. Control 55(11), 2500\u20132510 (2010)","journal-title":"IEEE Trans. Autom. Control"},{"key":"946_CR2","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/j.neunet.2012.03.003","volume":"31","author":"X Jing","year":"2012","unstructured":"Jing, X.: Robust adaptive learning of feedforward neural networks via LMI optimizations. Neural Netw. 31, 33\u201345 (2012)","journal-title":"Neural Netw."},{"key":"946_CR3","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/j.neucom.2016.12.020","volume":"230","author":"S Lakshmanan","year":"2017","unstructured":"Lakshmanan, S., Lim, C.P., Prakash, M., Nahavandi, S., Balasubramaniam, P.: Neutral-type of delayed inertial neural networks and their stability analysis using the LMI approach. Neurocomputing 230, 243\u2013250 (2017)","journal-title":"Neurocomputing"},{"issue":"7","key":"946_CR4","doi-asserted-by":"crossref","first-page":"1032","DOI":"10.1109\/TNN.2011.2131679","volume":"22","author":"Z Wang","year":"2011","unstructured":"Wang, Z., Zhang, H., Jiang, B.: LMI-based approach for global asymptotic stability analysis of recurrent neural networks with various delays and structures. IEEE Trans. Neural Netw. 22(7), 1032\u20131045 (2011)","journal-title":"IEEE Trans. Neural Netw."},{"issue":"1\u20133","key":"946_CR5","doi-asserted-by":"crossref","first-page":"513","DOI":"10.1016\/j.neucom.2005.11.006","volume":"70","author":"Y Zhang","year":"2006","unstructured":"Zhang, Y.: A set of nonlinear equations and inequalities arising in robotics and its online solution via a primal neural network. Neurocomputing 70(1\u20133), 513\u2013524 (2006)","journal-title":"Neurocomputing"},{"issue":"3","key":"946_CR6","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1007\/s10957-010-9691-4","volume":"145","author":"J Li","year":"2010","unstructured":"Li, J., Huang, N.: Image space analysis for vector variational inequalities with matrix inequality constraints and applications. J. Optim. Theory Appl. 145(3), 459\u2013477 (2010)","journal-title":"J. Optim. Theory Appl."},{"issue":"2","key":"946_CR7","doi-asserted-by":"crossref","first-page":"370","DOI":"10.1109\/TNNLS.2013.2275011","volume":"25","author":"D Guo","year":"2014","unstructured":"Guo, D., Zhang, Y.: Zhang neural network for online solution of time-varying linear matrix inequality aided with an equality conversion. IEEE Trans. Neural Netw. Learn. Syst. 25(2), 370\u2013382 (2014)","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"issue":"1","key":"946_CR8","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1007\/s11075-014-9892-2","volume":"69","author":"Y Lei","year":"2015","unstructured":"Lei, Y.: The inexact fixed matrix iteration for solving large linear inequalities in a least squares sense. Numer. Algorithms 69(1), 227\u2013251 (2015)","journal-title":"Numer. Algorithms"},{"issue":"2","key":"946_CR9","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1007\/s11075-008-9218-3","volume":"50","author":"A Dax","year":"2009","unstructured":"Dax, A.: A hybrid algorithm for solving linear inequalities in a least squares sense. Numer. Algorithms 50(2), 97\u2013114 (2009)","journal-title":"Numer. Algorithms"},{"issue":"2","key":"946_CR10","doi-asserted-by":"crossref","first-page":"674","DOI":"10.1109\/TMECH.2011.2181977","volume":"18","author":"Z Zhang","year":"2013","unstructured":"Zhang, Z., Zhang, Y.: Variable joint-velocity limits of redundant robot manipulators handled by quadratic programming. IEEE\/ASME Trans. Mechatron. 18(2), 674\u2013686 (2013)","journal-title":"IEEE\/ASME Trans. Mechatron."},{"issue":"6","key":"946_CR11","doi-asserted-by":"crossref","first-page":"1326","DOI":"10.1109\/TSMCC.2012.2183868","volume":"42","author":"D Guo","year":"2012","unstructured":"Guo, D., Zhang, Y.: A new inequality-based obstacle-avoidance MVN scheme and its application to redundant robot manipulators. IEEE Trans. Syst. Man Cybern. Part C-Appl. Rev. 42(6), 1326\u20131340 (2012)","journal-title":"IEEE Trans. Syst. Man Cybern. Part C-Appl. Rev."},{"issue":"1","key":"946_CR12","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1007\/BF00939954","volume":"72","author":"K Yang","year":"1992","unstructured":"Yang, K., Murty, K.G.: New iterative methods for linear inequalities. J. Optim. Theory Appl. 72(1), 163\u2013185 (1992)","journal-title":"J. Optim. Theory Appl."},{"issue":"11","key":"946_CR13","doi-asserted-by":"crossref","first-page":"1455","DOI":"10.1016\/S0167-8191(96)00065-8","volume":"22","author":"A Cichocki","year":"1997","unstructured":"Cichocki, A., Bargiela, A.: Neural networks for solving linear inequality systems. Parallel Comput. 22(11), 1455\u20131475 (1997)","journal-title":"Parallel Comput."},{"issue":"5","key":"946_CR14","doi-asserted-by":"crossref","first-page":"1078","DOI":"10.1109\/72.870041","volume":"11","author":"C Lin","year":"2000","unstructured":"Lin, C., Lai, C., Huang, T.: A neural network for linear matrix inequality problems. IEEE Trans. Neural Netw. 11(5), 1078\u20131092 (2000)","journal-title":"IEEE Trans. Neural Netw."},{"issue":"3","key":"946_CR15","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1007\/s11063-009-9105-5","volume":"29","author":"L Cheng","year":"2009","unstructured":"Cheng, L., Hou, Z., Tan, M.: A simplified neural network for linear matrix inequality problems. Neural Process. Lett. 29(3), 213\u2013230 (2009)","journal-title":"Neural Process. Lett."},{"issue":"10","key":"946_CR16","doi-asserted-by":"crossref","first-page":"3328","DOI":"10.1016\/j.jfranklin.2013.07.008","volume":"350","author":"M Hajarian","year":"2013","unstructured":"Hajarian, M.: Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester matrix equations. J. Frankl. Inst. 350(10), 3328\u20133341 (2013)","journal-title":"J. Frankl. Inst."},{"issue":"6","key":"946_CR17","doi-asserted-by":"crossref","first-page":"1362","DOI":"10.1007\/s12555-013-0516-8","volume":"12","author":"M Hajarian","year":"2014","unstructured":"Hajarian, M.: Extending the GPBiCG algorithm for solving the generalized Sylvester-transpose matrix equation. Int. J. Control Autom. Syst. 12 (6), 1362\u20131365 (2014)","journal-title":"Int. J. Control Autom. Syst."},{"issue":"2","key":"946_CR18","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1109\/TNNLS.2016.2516565","volume":"28","author":"S Li","year":"2017","unstructured":"Li, S., He, J., Li, Y., Rafique, M.U.: Distributed recurrent neural networks for cooperative control of manipulators: a game-theoretic perspective. IEEE Trans. Neural Netw. Learn. Syst. 28(2), 415\u2013426 (2017)","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"issue":"1\u20133","key":"946_CR19","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/j.neucom.2010.03.021","volume":"74","author":"J Misra","year":"2010","unstructured":"Misra, J., Saha, I.: Artificial neural networks in hardware: a survey of two decades of progress. Neurocomputing 74(1\u20133), 239\u2013255 (2010)","journal-title":"Neurocomputing"},{"issue":"16\u201318","key":"946_CR20","doi-asserted-by":"crossref","first-page":"3589","DOI":"10.1016\/j.neucom.2008.05.005","volume":"71","author":"L Liu","year":"2008","unstructured":"Liu, L., Shao, H., Nan, D.: Recurrent neural network model for computing largest and smallest generalized eigenvalue. Neurocomputing 71(16\u201318), 3589\u20133594 (2008)","journal-title":"Neurocomputing"},{"issue":"7\u20139","key":"946_CR21","doi-asserted-by":"crossref","first-page":"1679","DOI":"10.1016\/j.neucom.2008.07.008","volume":"71","author":"Y Zhang","year":"2009","unstructured":"Zhang, Y., Ma, W., Li, X., Tan, H., Chen, K.: MATLAB Simulink modeling and simulation of LVI-based primal-dual neural network for solving linear and quadratic programs. Neurocomputing 71(7\u20139), 1679\u20131687 (2009)","journal-title":"Neurocomputing"},{"issue":"13\u201315","key":"946_CR22","doi-asserted-by":"crossref","first-page":"3046","DOI":"10.1016\/j.neucom.2009.04.001","volume":"72","author":"H Zhao","year":"2009","unstructured":"Zhao, H., Zhang, J.: Nonlinear dynamic system identification using pipelined functional link artificial recurrent neural network. Neurocomputing 72 (13\u201315), 3046\u20133054 (2009)","journal-title":"Neurocomputing"},{"issue":"10","key":"946_CR23","doi-asserted-by":"crossref","first-page":"2243","DOI":"10.1109\/TNNLS.2016.2574363","volume":"28","author":"S Li","year":"2017","unstructured":"Li, S., Zhang, Y., Jin, L.: Kinematic control of redundant manipulators using neural networks. IEEE Trans. Neural Netw. Learn. Syst. 28(10), 2243\u20132254 (2017)","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"issue":"12","key":"946_CR24","doi-asserted-by":"crossref","first-page":"1630","DOI":"10.1109\/TSMC.2015.2505687","volume":"46","author":"M Chen","year":"2016","unstructured":"Chen, M.: Constrained control allocation for overactuated aircraft using a neurodynamic model. IEEE Trans. Syst. Man Cybern. Part A-Syst. Hum. 46(12), 1630\u20131641 (2016)","journal-title":"IEEE Trans. Syst. Man Cybern. Part A-Syst. Hum."},{"issue":"1","key":"946_CR25","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1007\/s11075-015-0088-1","volume":"73","author":"L Jin","year":"2016","unstructured":"Jin, L., Zhang, Y.: Continuous and discrete Zhang dynamics for real-time varying nonlinear optimization. Numer. Algorithms 73(1), 115\u2013140 (2016)","journal-title":"Numer. Algorithms"},{"issue":"1","key":"946_CR26","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1007\/s11075-017-0302-4","volume":"77","author":"D Guo","year":"2018","unstructured":"Guo, D., Lin, X., Su, Z., Sun, S., Huang, Z.: Design and analysis of two discrete-time ZD algorithms for time-varying nonlinear minimization. Numer. Algorithms 77(1), 23\u201336 (2018)","journal-title":"Numer. Algorithms"},{"issue":"4","key":"946_CR27","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1007\/s11075-012-9690-7","volume":"64","author":"Y Zhang","year":"2013","unstructured":"Zhang, Y., Li, Z., Guo, D., Ke, Z., Chen, P.: Discrete-time ZD, GD and NI for solving nonlinear timevarying equations. Numer. Algorithms 64(4), 721\u2013740 (2013)","journal-title":"Numer. Algorithms"},{"issue":"6","key":"946_CR28","doi-asserted-by":"crossref","first-page":"1477","DOI":"10.1109\/TNN.2005.857946","volume":"16","author":"Y Zhang","year":"2005","unstructured":"Zhang, Y., Ge, S.: Design and analysis of a general recurrent neural network model for time-varying matrix inversion. IEEE Trans. Neural Netw. 16 (6), 1477\u20131490 (2005)","journal-title":"IEEE Trans. Neural Netw."},{"issue":"5","key":"946_CR29","doi-asserted-by":"crossref","first-page":"1053","DOI":"10.1109\/TNN.2002.1031938","volume":"16","author":"Y Zhang","year":"2002","unstructured":"Zhang, Y., Jiang, D., Wang, J.: A recurrent neural network for solving Sylvester equation with timevarying coefficients. IEEE Trans. Neural Netw. 16 (5), 1053\u20131063 (2002)","journal-title":"IEEE Trans. Neural Netw."},{"issue":"11","key":"946_CR30","doi-asserted-by":"crossref","first-page":"3135","DOI":"10.1109\/TCYB.2017.2760883","volume":"48","author":"Z Zhang","year":"2018","unstructured":"Zhang, Z., Zheng, L., Weng, J., Mao, Y., Lu, W., Xiao, L.: A new varying-parameter recurrent neural-network for online solution of time-varying Sylvester equation. IEEE Trans. Cybern. 48(11), 3135\u20133148 (2018)","journal-title":"IEEE Trans. Cybern."},{"issue":"1","key":"946_CR31","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1109\/TII.2017.2717020","volume":"48","author":"L Xiao","year":"2018","unstructured":"Xiao, L., Liao, B., Li, S., Zhang, Z., Ding, L., Jin, L.: Design and analysis of FTZNN applied to real-time solution of nonstationary Lyapunov equation and tracking control of wheeled mobile manipulator. IEEE Trans. Ind. Inform. 48(1), 98\u2013105 (2018)","journal-title":"IEEE Trans. Ind. Inform."},{"key":"946_CR32","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1016\/j.neucom.2016.02.021","volume":"193","author":"L Xiao","year":"2016","unstructured":"Xiao, L., Liao, B.: A convergence-accelerated Zhang neural network and its solution application to Lyapunov equation. Neurocomputing 193, 213\u2013218 (2016)","journal-title":"Neurocomputing"},{"key":"946_CR33","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1016\/j.neucom.2018.07.067","volume":"317","author":"X Li","year":"2018","unstructured":"Li, X., Yu, J., Li, S., Ni, L.: A nonlinear and noise-tolerant ZNN model solving for time-varying linear matrix equation. Neurocomputing 317, 70\u201378 (2018)","journal-title":"Neurocomputing"},{"key":"946_CR34","unstructured":"Zhang, Y.: Revisit the analog computer and gradient-based neural system for matrix inversion. In: Proceedings of IEEE International Symposium on Intelligent Control, pp. 1411\u20131416 (2005)"},{"issue":"3","key":"946_CR35","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1007\/s00521-014-1744-4","volume":"26","author":"P Miao","year":"2015","unstructured":"Miao, P., Shen, Y., Huang, Y., Wang, Y.: Solving time-varying quadratic programs based on finite-time Zhang neural networks and their application to robot tracking. Neural Comput. Appl. 26(3), 693\u2013703 (2015)","journal-title":"Neural Comput. Appl."},{"key":"946_CR36","doi-asserted-by":"crossref","first-page":"1983","DOI":"10.1016\/j.neucom.2015.08.031","volume":"173","author":"L Xiao","year":"2016","unstructured":"Xiao, L.: A nonlinearly activated neural dynamics and its finite-time solution to time-varying nonlinear equation. Neurocomputing 173, 1983\u20131988 (2016)","journal-title":"Neurocomputing"},{"issue":"10","key":"946_CR37","doi-asserted-by":"crossref","first-page":"1676","DOI":"10.1109\/TNN.2011.2163318","volume":"22","author":"L Xiao","year":"2011","unstructured":"Xiao, L., Zhang, Y.: Zhang neural network versus gradient neural network for solving time-varying linear inequalities. IEEE Trans. Neural Netw. 22 (10), 1676\u20131684 (2011)","journal-title":"IEEE Trans. Neural Netw."},{"issue":"5","key":"946_CR38","doi-asserted-by":"crossref","first-page":"1168","DOI":"10.1016\/j.jfranklin.2015.05.024","volume":"353","author":"M Hajarian","year":"2016","unstructured":"Hajarian, M.: Extending the CGLS algorithm for least squares solutions of the generalized Sylvester-transpose matrix equations. J. Frankl. Inst. 353 (5), 1168\u20131185 (2016)","journal-title":"J. Frankl. Inst."},{"issue":"13","key":"946_CR39","doi-asserted-by":"crossref","first-page":"2017","DOI":"10.1002\/mma.2955","volume":"37","author":"M Hajarian","year":"2013","unstructured":"Hajarian, M.: Extending LSQR methods to solve the generalized Sylvester-transpose and periodic Sylvester matrix equations. Math. Meth. Appl. Sci. 37(13), 2017\u20132028 (2013)","journal-title":"Math. Meth. Appl. Sci."},{"issue":"19","key":"946_CR40","doi-asserted-by":"crossref","first-page":"6073","DOI":"10.1016\/j.apm.2015.01.026","volume":"39","author":"M Hajarian","year":"2015","unstructured":"Hajarian, M.: Developing BiCOR and CORS methods for coupled Sylvester-transpose and periodic Sylvester matrix equations. Appl. Math. Model. 39(19), 6073\u20136084 (2015)","journal-title":"Appl. Math. Model."},{"key":"946_CR41","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1016\/j.neucom.2013.04.041","volume":"121","author":"L Xiao","year":"2013","unstructured":"Xiao, L., Zhang, Y.: Different Zhang functions resulting in different ZNN models demonstrated via time-varying linear matrix-vector inequalities solving. Neurocomputing 121, 140\u2013149 (2013)","journal-title":"Neurocomputing"},{"issue":"4","key":"946_CR42","doi-asserted-by":"crossref","first-page":"1975","DOI":"10.1109\/TII.2018.2861908","volume":"15","author":"Y Zhang","year":"2019","unstructured":"Zhang, Y., Yang, M., Huang, H., Xiao, M., Hu, H.: New discrete solution model for solving future different-level linear inequality and equality with robot manipulator control. IEEE Trans. Ind. Inform. 15(4), 1975\u20131984 (2019)","journal-title":"IEEE Trans. Ind. Inform."},{"key":"946_CR43","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1016\/j.neucom.2017.06.030","volume":"267","author":"L Jin","year":"2017","unstructured":"Jin, L., Li, S., Liao, B., Zhang, Z.: Zeroing neural networks: a survey. Neurocomputing 267, 597\u2013604 (2017)","journal-title":"Neurocomputing"},{"issue":"2","key":"946_CR44","doi-asserted-by":"crossref","first-page":"561","DOI":"10.1007\/s11075-018-0561-8","volume":"81","author":"Y Zhang","year":"2019","unstructured":"Zhang, Y., Qi, Z., Li, J., Qiu, B., Yang, M.: Stepsize domain confirmation and optimum of ZeaD formula for future optimization. Numer. Algorithms 81(2), 561\u2013574 (2019)","journal-title":"Numer. Algorithms"},{"issue":"2","key":"946_CR45","doi-asserted-by":"crossref","first-page":"609","DOI":"10.1007\/s11075-018-0564-5","volume":"81","author":"J Li","year":"2019","unstructured":"Li, J., Mao, M., Uhlig, F., Zhang, Y.: A 5-instant finite difference formula to find discrete time-varying generalized matrix inverses, matrix inverses, and scalar reciprocals. Numer. Algorithms 81(2), 609\u2013629 (2019)","journal-title":"Numer. Algorithms"},{"issue":"3","key":"946_CR46","doi-asserted-by":"crossref","first-page":"1043","DOI":"10.1007\/s11075-018-0581-4","volume":"81","author":"B Qiu","year":"2019","unstructured":"Qiu, B., Zhang, Y., Guo, J., Yang, Z., Li, X.: New five-step DTZD algorithm for future nonlinear minimization with quartic steady-state error pattern. Numer. Algorithms 81(3), 1043\u20131065 (2019)","journal-title":"Numer. Algorithms"},{"issue":"6","key":"946_CR47","doi-asserted-by":"crossref","first-page":"2032","DOI":"10.1109\/TCYB.2018.2818747","volume":"49","author":"B Qiu","year":"2019","unstructured":"Qiu, B., Zhang, Y.: Two new discrete-time neurodynamic algorithms applied to online future matrix inversion with nonsingular or sometimes-singular coefficient. IEEE Trans. Cybern. 49(6), 2032\u20132045 (2019)","journal-title":"IEEE Trans. Cybern."},{"issue":"10","key":"946_CR48","doi-asserted-by":"crossref","first-page":"3328","DOI":"10.1016\/j.jfranklin.2013.07.008","volume":"350","author":"M Hajarian","year":"2013","unstructured":"Hajarian, M.: Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester matrix equations. J. Frankl. Inst.-Eng. Appl. Math. 350(10), 3328\u20133341 (2013)","journal-title":"J. Frankl. Inst.-Eng. Appl. Math."},{"key":"946_CR49","volume-title":"Zhang Neural Networks and Neural-Dynamic Method","author":"Y Zhang","year":"2011","unstructured":"Zhang, Y., Yi, C.: Zhang Neural Networks and Neural-Dynamic Method. Nova Science Publishers, New York (2011)"},{"key":"946_CR50","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139020411","volume-title":"Matrix Analysis","author":"RA Horn","year":"2012","unstructured":"Horn, R.A., Johnson, C.R.: Matrix Analysis. Cambridge University Press, Cambridge (2012)"},{"key":"946_CR51","volume-title":"Introduction to Algorithms","author":"TT Cormen","year":"1990","unstructured":"Cormen, T.T., Leiserson, C.E., Rivest, R.L.: Introduction to Algorithms. MIT Press, Cambridge (1990)"},{"key":"946_CR52","doi-asserted-by":"crossref","first-page":"512","DOI":"10.1016\/j.neucom.2013.12.001","volume":"133","author":"B Liao","year":"2014","unstructured":"Liao, B., Zhang, Y.: From different ZFs to different ZNN models accelerated via Li activation functions to finite-time convergence for time-varying matrix pseudoinversion. Neurocomputing 133, 512\u2013522 (2014)","journal-title":"Neurocomputing"},{"issue":"2","key":"946_CR53","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1007\/s00607-010-0133-9","volume":"92","author":"Y Zhang","year":"2011","unstructured":"Zhang, Y., Yang, Y., Tan, N., Cai, B.: Zhang neural network solving for time-varying full-rank matrix Moore-Penrose inverse. Computing 92(2), 97\u2013121 (2011)","journal-title":"Computing"},{"issue":"4","key":"946_CR54","doi-asserted-by":"crossref","first-page":"1393","DOI":"10.1002\/oca.2417","volume":"39","author":"Y Zhang","year":"2018","unstructured":"Zhang, Y., Li, J., Li, S., Chen, D., He, L.: Optimal zeroing dynamics with applications to control of serial and parallel manipulators. Optim. Control Appl. Methods 39(4), 1393\u20131406 (2018)","journal-title":"Optim. Control Appl. Methods"},{"issue":"8","key":"946_CR55","doi-asserted-by":"crossref","first-page":"3416","DOI":"10.1109\/TII.2017.2780892","volume":"14","author":"J Li","year":"2018","unstructured":"Li, J., Zhang, Y., Li, S., Mao, M.: New discretization-formula-based zeroing dynamics for real-time tracking control of serial and parallel manipulators. IEEE Trans. Ind. Inform. 14(8), 3416\u20133425 (2018)","journal-title":"IEEE Trans. Ind. Inform."},{"key":"946_CR56","volume-title":"Numerical Methods Using Matlab","author":"JH Mathews","year":"2004","unstructured":"Mathews, J.H., Fink, K.D.: Numerical Methods Using Matlab. Prentice-Hall, Upper Saddle River (2004)"},{"key":"946_CR57","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511801181","volume-title":"An Introduction to Numerical Analysis","author":"E Suli","year":"2003","unstructured":"Suli, E., Mayers, D.F.: An Introduction to Numerical Analysis. Cambridge University Press, Cambridge (2003)"},{"key":"946_CR58","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-85729-148-6","volume-title":"Numerical Methods for Ordinary Differential Equations: Initial Value Problems","author":"DF Griffiths","year":"2010","unstructured":"Griffiths, D.F., Higham, D.J.: Numerical Methods for Ordinary Differential Equations: Initial Value Problems. Springer, London (2010)"}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-020-00946-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11075-020-00946-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-020-00946-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,10]],"date-time":"2021-07-10T01:02:34Z","timestamp":1625878954000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11075-020-00946-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,7,10]]},"references-count":58,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2021,4]]}},"alternative-id":["946"],"URL":"https:\/\/doi.org\/10.1007\/s11075-020-00946-1","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,7,10]]},"assertion":[{"value":"30 July 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 May 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 July 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}