{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:21:01Z","timestamp":1772295661815,"version":"3.50.1"},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2015,11,11]],"date-time":"2015-11-11T00:00:00Z","timestamp":1447200000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput Optim Appl"],"published-print":{"date-parts":[[2016,5]]},"DOI":"10.1007\/s10589-015-9809-6","type":"journal-article","created":{"date-parts":[[2015,11,11]],"date-time":"2015-11-11T08:44:54Z","timestamp":1447231494000},"page":"265-294","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Optimization of nonlocal time-delayed feedback controllers"],"prefix":"10.1007","volume":"64","author":[{"given":"Peter","family":"Nestler","sequence":"first","affiliation":[]},{"given":"Eckehard","family":"Sch\u00f6ll","sequence":"additional","affiliation":[]},{"given":"Fredi","family":"Tr\u00f6ltzsch","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,11,11]]},"reference":[{"key":"9809_CR1","doi-asserted-by":"crossref","first-page":"094101","DOI":"10.1103\/PhysRevLett.91.094101","volume":"91","author":"F Atay","year":"2003","unstructured":"Atay, F.: Distributed delays facilitate amplitude death of coupled oscillators. Phys. Rev. Lett. 91, 094101 (2003)","journal-title":"Phys. Rev. Lett."},{"key":"9809_CR2","doi-asserted-by":"crossref","unstructured":"Bachmair, C., Sch\u00f6ll, E.: Nonlocal control of pulse propagation in excitable media. Eur. Phys. J. B. (2014). doi: 10.1140\/epjb\/e2014-50339-2","DOI":"10.1140\/epjb\/e2014-50339-2"},{"issue":"1","key":"9809_CR3","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1515\/156939506776382120","volume":"14","author":"A Borz\u00ec","year":"2006","unstructured":"Borz\u00ec, A., Griesse, R.: Distributed optimal control of lambda-omega systems. J. Numer. Math. 14(1), 17\u201340 (2006)","journal-title":"J. Numer. Math."},{"key":"9809_CR4","first-page":"1","volume":"164","author":"AJV Brand\u00e3o","year":"2008","unstructured":"Brand\u00e3o, A.J.V., Fern\u00e1ndez-Cara, E., Paulo, P.M.D., Rojas-Medar, M.A.: Theoretical analysis and control results for the FitzHugh-Nagumo equation. Electron. J. Differ. Equ. 164, 1\u201320 (2008)","journal-title":"Electron. J. Differ. Equ."},{"key":"9809_CR5","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1007\/s10589-013-9550-y","volume":"56","author":"R Buchholz","year":"2013","unstructured":"Buchholz, R., Engel, H., Kammann, E., Tr\u00f6ltzsch, F.: On the optimal control of the Schl\u00f6gl model. Comput. Optim. Appl. 56, 153\u2013185 (2013)","journal-title":"Comput. Optim. Appl."},{"key":"9809_CR6","doi-asserted-by":"crossref","first-page":"993","DOI":"10.1137\/0331044","volume":"31","author":"E Casas","year":"1993","unstructured":"Casas, E.: Boundary control of semilinear elliptic equations with pointwise state constraints. SIAM J. Control Optim. 31, 993\u20131006 (1993)","journal-title":"SIAM J. Control Optim."},{"issue":"4","key":"9809_CR7","doi-asserted-by":"crossref","first-page":"2168","DOI":"10.1137\/140978855","volume":"53","author":"E Casas","year":"2015","unstructured":"Casas, E., Ryll, C., Tr\u00f6ltzsch, F.: Second order and stability analysis for optimal sparse control of the FitzHugh-Nagumo equation. SIAM J. Control Optim. 53(4), 2168\u20132202 (2015)","journal-title":"SIAM J. Control Optim."},{"key":"9809_CR8","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1515\/cmam-2013-0016","volume":"13","author":"E Casas","year":"2014","unstructured":"Casas, E., Ryll, C., Tr\u00f6ltzsch, F.: Sparse optimal control of the Schl\u00f6gl and FitzHugh-Nagumo systems. Comput. Methods Appl. Math. 13, 415\u2013442 (2014). doi: 10.1515\/cmam-2013-0016","journal-title":"Comput. Methods Appl. Math."},{"key":"9809_CR9","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1007\/s10589-009-9280-3","volume":"49","author":"C Nagaiah","year":"2011","unstructured":"Nagaiah, C., Kunisch, K., Plank, G.: Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology. Comput. Optim. Appl. 49, 149\u2013178 (2011). doi: 10.1007\/s10589-009-9280-3","journal-title":"Comput. Optim. Appl."},{"key":"9809_CR10","volume-title":"Control and Nonlinearity","author":"JM Coron","year":"2007","unstructured":"Coron, J.M.: Control and Nonlinearity. American Mathematical Society, Providence (2007)"},{"key":"9809_CR11","first-page":"487","volume":"13","author":"E Di\u00a0Benedetto","year":"1986","unstructured":"Di\u00a0Benedetto, E.: On the local behaviour of solutions of degenerate parabolic equations with measurable coefficients. Ann. Scuola Sup. Pisa I 13, 487\u2013535 (1986)","journal-title":"Ann. Scuola Sup. Pisa I"},{"key":"9809_CR12","volume-title":"Applied Delay Differential Equations, Surveys and Tutorials in the Applied Mathematical Sciences","author":"T Erneux","year":"2009","unstructured":"Erneux, T.: Applied Delay Differential Equations, Surveys and Tutorials in the Applied Mathematical Sciences, vol. 3. Springer, New York (2009)"},{"key":"9809_CR13","doi-asserted-by":"crossref","first-page":"192","DOI":"10.1016\/j.automatica.2014.10.106","volume":"51","author":"M Gugat","year":"2015","unstructured":"Gugat, M., Tr\u00f6ltzsch, F.: Boundary feedback stabilization of the Schl\u00f6gl system. Automatica 51, 192\u2013199 (2015)","journal-title":"Automatica"},{"issue":"1","key":"9809_CR14","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1016\/j.jmaa.2012.05.028","volume":"395","author":"K Kunisch","year":"2012","unstructured":"Kunisch, K., Wang, L.: Time optimal controls of the linear Fitzhugh-Nagumo equation with pointwise control constraints. J. Math. Anal. Appl. 395(1), 114\u2013130 (2012). doi: 10.1016\/j.jmaa.2012.05.028","journal-title":"J. Math. Anal. Appl."},{"issue":"4","key":"9809_CR15","doi-asserted-by":"crossref","first-page":"1077","DOI":"10.1051\/m2an\/2012058","volume":"47","author":"K Kunisch","year":"2013","unstructured":"Kunisch, K., Wagner, M.: Optimal control of the bidomain system (iii): Existence of minimizers and first-order optimality conditions. ESAIM Math. Model. Numer. Anal. 47(4), 1077\u20131106 (2013)","journal-title":"ESAIM Math. Model. Numer. Anal."},{"issue":"6","key":"9809_CR16","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1007\/s00791-012-0182-z","volume":"14","author":"K Kunisch","year":"2011","unstructured":"Kunisch, K., Nagaiah, C., Wagner, M.: A parallel Newton-Krylov method for optimal control of the monodomain model in cardiac electrophysiology. Comput. Vis. Sci. 14(6), 257\u2013269 (2011)","journal-title":"Comput. Vis. Sci."},{"key":"9809_CR17","doi-asserted-by":"crossref","first-page":"043117","DOI":"10.1063\/1.4898771","volume":"24","author":"Y Kyrychko","year":"2014","unstructured":"Kyrychko, Y., Blyuss, K., Sch\u00f6ll, E.: Synchronization of networks of oscillators with distributed delay-coupling. Chaos 24, 043117 (2014)","journal-title":"Chaos"},{"key":"9809_CR18","volume-title":"Control Theory for Partial Differential Equations: Continuous and Approximation Theories. I: Abstract Parabolic Systems","author":"I Lasiecka","year":"2000","unstructured":"Lasiecka, I., Triggiani, R.: Control Theory for Partial Differential Equations: Continuous and Approximation Theories. I: Abstract Parabolic Systems. Cambridge University Press, Cambridge (2000)"},{"key":"9809_CR19","volume-title":"Control Theory for Partial Differential Equations: Continuous and Approximation Theories. II. Abstract Hyperbolic-Like Systems over a Finite Time Horizon","author":"I Lasiecka","year":"2000","unstructured":"Lasiecka, I., Triggiani, R.: Control Theory for Partial Differential Equations: Continuous and Approximation Theories. II. Abstract Hyperbolic-Like Systems over a Finite Time Horizon. Cambridge University Press, Cambridge (2000)"},{"key":"9809_CR20","doi-asserted-by":"crossref","unstructured":"L\u00f6ber, J., Coles, R., Siebert, J., Engel, H., Sch\u00f6ll, E.: Control of chemical wave propagation. In: Mikhailov, A., Ertl, G. (eds.) Engineering of Chemical Complexity II, pp. 185\u2013207. World Scientific, Singapore. arXiv:1403.3363 (2014)","DOI":"10.1142\/9789814616133_0011"},{"key":"9809_CR21","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1016\/0375-9601(92)90745-8","volume":"170","author":"K Pyragas","year":"1992","unstructured":"Pyragas, K.: Continuous control of chaos by self-controlling feedback. Phys. Rev. Lett. A 170, 421 (1992)","journal-title":"Phys. Rev. Lett. A"},{"key":"9809_CR22","doi-asserted-by":"crossref","first-page":"2309","DOI":"10.1098\/rsta.2006.1827","volume":"364","author":"K Pyragas","year":"2006","unstructured":"Pyragas, K.: Delayed feedback control of chaos. Philos. Trans. R. Soc. A 364, 2309 (2006)","journal-title":"Philos. Trans. R. Soc. A"},{"key":"9809_CR23","doi-asserted-by":"crossref","first-page":"1853","DOI":"10.1137\/S0363012996302470","volume":"36","author":"JP Raymond","year":"1998","unstructured":"Raymond, J.P., Zidani, H.: Pontryagin\u2019s principle for state-constrained control problems governed by parabolic equations with unbounded controls. SIAM J. Control Optim. 36, 1853\u20131879 (1998)","journal-title":"SIAM J. Control Optim."},{"key":"9809_CR24","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1007\/s002459900102","volume":"39","author":"JP Raymond","year":"1999","unstructured":"Raymond, J.P., Zidani, H.: Hamiltonian Pontryagin\u2019s principles for control problems governed by semilinear parabolic equations. Appl. Math. Optim. 39, 143\u2013177 (1999)","journal-title":"Appl. Math. Optim."},{"key":"9809_CR25","volume-title":"Handbook of Chaos Control","author":"E Sch\u00f6ll","year":"2008","unstructured":"Sch\u00f6ll, E., Schuster, H.: Handbook of Chaos Control. Wiley-VCH, Weinheim (2008)"},{"key":"9809_CR26","doi-asserted-by":"crossref","first-page":"052909","DOI":"10.1103\/PhysRevE.89.052909","volume":"89","author":"J Siebert","year":"2014","unstructured":"Siebert, J., Alonso, S., B\u00e4r, M., Sch\u00f6ll, E.: Dynamics of reaction-diffusion patterns controlled by asymmetric nonlocal coupling as a limiting case of differential advection. Phys. Rev. E 89, 052909 (2014). doi: 10.1103\/PhysRevE.89.052909","journal-title":"Phys. Rev. E"},{"key":"9809_CR27","doi-asserted-by":"crossref","first-page":"40014","DOI":"10.1209\/0295-5075\/109\/40014","volume":"109","author":"J Siebert","year":"2015","unstructured":"Siebert, J., Sch\u00f6ll, E.: Front and turing patterns induced by mexican-hat-like nonlocal feedback. Europhys. Lett. 109, 40014 (2015)","journal-title":"Europhys. Lett."},{"key":"9809_CR28","doi-asserted-by":"crossref","DOI":"10.1515\/9781400835362","volume-title":"Adaptive Control of Parabolic PDEs","author":"A Smyshlyaev","year":"2010","unstructured":"Smyshlyaev, A., Krstic, M.: Adaptive Control of Parabolic PDEs. Princeton University Press, Princeton (2010)"},{"key":"9809_CR29","volume-title":"Optimal Control of Partial Differential Equations. Theory, Methods and Applications","author":"F Tr\u00f6ltzsch","year":"2010","unstructured":"Tr\u00f6ltzsch, F.: Optimal Control of Partial Differential Equations. Theory, Methods and Applications, vol. 112. American Mathematical Society, Providence (2010)"},{"key":"9809_CR30","doi-asserted-by":"crossref","first-page":"032908","DOI":"10.1103\/PhysRevE.90.032908","volume":"90","author":"C Wille","year":"2014","unstructured":"Wille, C., Lehnert, J., Sch\u00f6ll, E.: Synchronization-desynchronization transitions in complex networks: an interplay of distributed time delay and inhibitory nodes. Phys. Rev. E 90, 032908 (2014)","journal-title":"Phys. Rev. E"}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-015-9809-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10589-015-9809-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-015-9809-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,11]],"date-time":"2020-09-11T06:34:05Z","timestamp":1599806045000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10589-015-9809-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,11,11]]},"references-count":30,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,5]]}},"alternative-id":["9809"],"URL":"https:\/\/doi.org\/10.1007\/s10589-015-9809-6","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"value":"0926-6003","type":"print"},{"value":"1573-2894","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,11,11]]}}}