{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T18:45:43Z","timestamp":1648925143299},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[2011,11,10]],"date-time":"2011-11-10T00:00:00Z","timestamp":1320883200000},"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":[[2013,3]]},"DOI":"10.1007\/s00521-011-0756-6","type":"journal-article","created":{"date-parts":[[2011,11,9]],"date-time":"2011-11-09T04:58:55Z","timestamp":1320814735000},"page":"711-717","source":"Crossref","is-referenced-by-count":4,"title":["Inverse optimality in the class of Hopfield neural networks with input nonlinearity"],"prefix":"10.1007","volume":"22","author":[{"given":"Yousef","family":"Farid","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nooshin","family":"Bigdeli","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,11,10]]},"reference":[{"key":"756_CR1","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1016\/j.chaos.2006.01.018","volume":"33","author":"Y Yuan","year":"2007","unstructured":"Yuan Y (2007) Dynamics in a delayed-neural network. Chaos Solitons Fractals 33:443\u2013454","journal-title":"Chaos Solitons Fractals"},{"key":"756_CR2","doi-asserted-by":"crossref","first-page":"1245","DOI":"10.1016\/j.camwa.2008.03.012","volume":"56","author":"CJ Cheng","year":"2008","unstructured":"Cheng CJ (2008) Robust control of a class of neural networks with bounded uncertainties and time-varying delays. Comput Math Appl 56:1245\u20131254","journal-title":"Comput Math Appl"},{"key":"756_CR3","doi-asserted-by":"crossref","first-page":"2293","DOI":"10.1016\/j.chaos.2008.09.024","volume":"41","author":"JG Lu","year":"2009","unstructured":"Lu JG, Chen G (2009) Global asymptotical synchronization of chaotic neural networks by output feedback impulsive control: an LMI approach. Chaos Solitons Fractals 41:2293\u20132300","journal-title":"Chaos Solitons Fractals"},{"key":"756_CR4","doi-asserted-by":"crossref","first-page":"675","DOI":"10.1016\/j.ejor.2008.11.002","volume":"198","author":"UP Wena","year":"2009","unstructured":"Wena UP, Lan KM, Shih HS (2009) A review of Hopfield neural networks for solving mathematical programming problems. Eur J Oper Res 198:675\u2013687","journal-title":"Eur J Oper Res"},{"key":"756_CR5","doi-asserted-by":"crossref","first-page":"2958","DOI":"10.1016\/j.apm.2010.01.005","volume":"34","author":"V Singh","year":"2010","unstructured":"Singh V (2010) New LMI-based criteria for global robust stability of delayed neural networks. Appl Math Model 34:2958\u20132965","journal-title":"Appl Math Model"},{"key":"756_CR6","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1016\/j.neucom.2005.06.005","volume":"69","author":"XS Yang","year":"2005","unstructured":"Yang XS, Yuan Q (2005) Chaos and transient chaos in simple Hopfield neural networks. Neurocomputing 69:232\u2013241","journal-title":"Neurocomputing"},{"key":"756_CR7","doi-asserted-by":"crossref","first-page":"1978","DOI":"10.1016\/j.camwa.2008.10.047","volume":"57","author":"D Yanga","year":"2009","unstructured":"Yanga D, Hu C (2009) Novel delay-dependent global asymptotic stability condition of Hopfield neural networks with delays. Comput Math Appl 57:1978\u20131984","journal-title":"Comput Math Appl"},{"key":"756_CR8","doi-asserted-by":"crossref","first-page":"2133","DOI":"10.1016\/j.chaos.2007.06.039","volume":"39","author":"Y Jiang","year":"2009","unstructured":"Jiang Y, Yang B, Wang J, Shao C (2009) Delay-dependent stability criterion for delayed Hopfield neural networks. Chaos Solitons Fractals 39:2133\u20132137","journal-title":"Chaos Solitons Fractals"},{"key":"756_CR9","doi-asserted-by":"crossref","first-page":"1196","DOI":"10.1103\/PhysRevLett.64.1196","volume":"64","author":"E Ott","year":"1990","unstructured":"Ott E, Grebogi C, Yorke JA (1990) Controlling chaos. Phys Rev Lett 64:1196\u20131199","journal-title":"Phys Rev Lett"},{"key":"756_CR10","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1109\/31.75404","volume":"38","author":"TL Carrol","year":"1991","unstructured":"Carrol TL, Pecora LM (1991) Synchronizing chaotic circuits. IEEE Trans Circuits Syst 38:453\u2013456","journal-title":"IEEE Trans Circuits Syst"},{"key":"756_CR11","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/j.physleta.2004.10.032","volume":"333","author":"M Rafikov","year":"2004","unstructured":"Rafikov M, Balthazar JM (2004) On an optimal control design for R\u00f6sler system. Phys Lett A 333:241\u2013245","journal-title":"Phys Lett A"},{"key":"756_CR12","doi-asserted-by":"crossref","first-page":"541","DOI":"10.1016\/S0960-0779(03)00123-1","volume":"19","author":"JJ Yan","year":"2004","unstructured":"Yan JJ (2004) Design of robust controllers for uncertain chaotic systems with nonlinear inputs. Chaos Solitons Fractals 19:541\u2013547","journal-title":"Chaos Solitons Fractals"},{"key":"756_CR13","doi-asserted-by":"crossref","first-page":"643","DOI":"10.1016\/S0960-0779(02)00006-1","volume":"14","author":"SH Chen","year":"2002","unstructured":"Chen SH, Lu J (2002) Parameter identification and synchronization of chaotic systems based upon adaptive control. Chaos Solitons Fractals 14:643\u2013647","journal-title":"Chaos Solitons Fractals"},{"key":"756_CR14","doi-asserted-by":"crossref","first-page":"1856","DOI":"10.1016\/j.chaos.2007.06.113","volume":"39","author":"C Mou","year":"2009","unstructured":"Mou C, Chang-sheng J, Bin J, Qing-xian W (2009) Sliding mode synchronization controller design with neural network for uncertain chaotic systems. Chaos Solitons Fractals 39:1856\u20131863","journal-title":"Chaos Solitons Fractals"},{"key":"756_CR15","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/S0096-3003(01)00137-0","volume":"131","author":"MT Yassen","year":"2002","unstructured":"Yassen MT (2002) The optimal control of Chen chaotic dynamical system. Appl Math Comput 131:171\u2013180","journal-title":"Appl Math Comput"},{"key":"756_CR16","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1016\/0005-1098(87)90072-0","volume":"23","author":"T Glad","year":"1987","unstructured":"Glad T (1987) Robustness of nonlinear state feedback: a survey. Automatica 23:425\u2013435","journal-title":"Automatica"},{"key":"756_CR17","volume-title":"Constructive nonlinear control","author":"R Sepulchre","year":"1996","unstructured":"Sepulchre R, Jankovic M, Kokotovic P (1996) Constructive nonlinear control. Springer, Berlin"},{"key":"756_CR18","doi-asserted-by":"crossref","first-page":"1090","DOI":"10.1109\/TAC.2004.831176","volume":"49","author":"JW Curtis","year":"2004","unstructured":"Curtis JW, Beard RW (2004) Satisficing: a new approach to constructive nonlinear control. IEEE Trans Automat Contr 49:1090\u20131102","journal-title":"IEEE Trans Automat Contr"},{"key":"756_CR19","doi-asserted-by":"crossref","first-page":"3424","DOI":"10.1016\/j.cnsns.2008.12.006","volume":"14","author":"CC Fuh","year":"2009","unstructured":"Fuh CC (2009) Optimal control of chaotic systems with input saturation using an input-state linearization scheme. Commun Nonlinear Sci Numer Simul 14:3424\u20133431","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"756_CR20","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/S0167-6911(01)00102-5","volume":"43","author":"B Hamzi","year":"2001","unstructured":"Hamzi B (2001) Some results on inverse optimality based designs. Syst Control Lett 43:239\u2013246","journal-title":"Syst Control Lett"},{"key":"756_CR21","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/S0167-6911(97)00079-0","volume":"32","author":"L Magni","year":"1997","unstructured":"Magni L, Sepulchre R (1997) Stability margins of nonlinear receding-horizon control via inverse optimality. Syst Control Lett 32:241\u2013245","journal-title":"Syst Control Lett"},{"key":"756_CR22","doi-asserted-by":"crossref","first-page":"2930","DOI":"10.1016\/j.automatica.2008.04.010","volume":"44","author":"M Krstic","year":"2008","unstructured":"Krstic M (2008) Lyapunov tools for predictor feedbacks for delay systems: inverse optimality and robustness to delay mismatch. Automatica 44:2930\u20132935","journal-title":"Automatica"},{"key":"756_CR23","doi-asserted-by":"crossref","first-page":"498","DOI":"10.1016\/j.automatica.2008.08.006","volume":"45","author":"WQ Li","year":"2009","unstructured":"Li WQ, Xie XJ (2009) Inverse optimal stabilization for stochastic nonlinear systems whose linearizations are not stabilizable. Automatica 45:498\u2013503","journal-title":"Automatica"},{"key":"756_CR24","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1002\/oca.840","volume":"30","author":"Z Qu","year":"2009","unstructured":"Qu Z, Wang J, Hull RA, Martin J (2009) Continuous and inverse optimal control designs for chained systems: a global state-scaling transformation and a time-scaling method. Optim Control Appl Methods 30:1\u201325","journal-title":"Optim Control Appl Methods"},{"key":"756_CR25","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.amc.2008.08.041","volume":"206","author":"WZ Huang","year":"2008","unstructured":"Huang WZ, Huang Y (2008) Chaos of a new class of Hopfield neural networks. Appl Math Comput 206:1\u201311","journal-title":"Appl Math Comput"},{"key":"756_CR26","doi-asserted-by":"crossref","first-page":"1787","DOI":"10.1016\/j.neucom.2005.11.001","volume":"69","author":"Y Huang","year":"2006","unstructured":"Huang Y, Yang XS (2006) Hyperchaos and bifurcation in a new class of four-dimensional Hopfield neural networks. Neurocomputing 69:1787\u20131795","journal-title":"Neurocomputing"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-011-0756-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-011-0756-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-011-0756-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T02:14:37Z","timestamp":1559096077000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-011-0756-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,11,10]]},"references-count":26,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2013,3]]}},"alternative-id":["756"],"URL":"https:\/\/doi.org\/10.1007\/s00521-011-0756-6","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,11,10]]}}}