{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,22]],"date-time":"2025-10-22T18:05:46Z","timestamp":1761156346890},"publisher-location":"Cham","reference-count":24,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319515311"},{"type":"electronic","value":"9783319515328"}],"license":[{"start":{"date-parts":[[2017,7,27]],"date-time":"2017-07-27T00:00:00Z","timestamp":1501113600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-51532-8_29","type":"book-chapter","created":{"date-parts":[[2017,7,26]],"date-time":"2017-07-26T13:56:19Z","timestamp":1501077379000},"page":"477-493","source":"Crossref","is-referenced-by-count":8,"title":["An Optimal Control Approach to Mapping GPS-Denied Environments Using a Stochastic Robotic Swarm"],"prefix":"10.1007","author":[{"given":"Ragesh K.","family":"Ramachandran","sequence":"first","affiliation":[]},{"given":"Karthik","family":"Elamvazhuthi","sequence":"additional","affiliation":[]},{"given":"Spring","family":"Berman","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,7,27]]},"reference":[{"key":"29_CR1","volume-title":"An Introduction to Mathematics of Emerging Biomedical Imaging","author":"H Ammari","year":"2008","unstructured":"Ammari, H.: An Introduction to Mathematics of Emerging Biomedical Imaging, vol. 62. Springer, Berlin (2008)"},{"key":"29_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-84800-344-6","volume-title":"Stabilization, Optimal and Robust Control: Theory and Applications in Biological and Physical Sciences","author":"A Belmiloudi","year":"2008","unstructured":"Belmiloudi, A.: Stabilization, Optimal and Robust Control: Theory and Applications in Biological and Physical Sciences. Springer, London (2008)"},{"key":"29_CR3","doi-asserted-by":"crossref","unstructured":"Biswas, R., Limketkai, B., Sanner, S., Thrun, S.: Towards object mapping in dynamic environments with mobile robots. In: International Conference on Intelligent Robots and Systems (IROS) (2002)","DOI":"10.1109\/IRDS.2002.1041523"},{"key":"29_CR4","doi-asserted-by":"crossref","unstructured":"Borz\u00ec, A., Schulz, V.: Computational optimization of systems governed by partial differential equations. In: Society for Industrial and Applied Mathematics (SIAM), Philadelphia (2012)","DOI":"10.1137\/1.9781611972054"},{"key":"29_CR5","doi-asserted-by":"crossref","unstructured":"Correll, N., Hamann, H.: Probabilistic modeling of swarming systems. In: J\u00a0Kacprzyk WP (ed) Springer Handbook of Computational Intelligence, pp 1423\u20131431. Springer, Heidelberg (2015)","DOI":"10.1007\/978-3-662-43505-2_74"},{"key":"29_CR6","doi-asserted-by":"crossref","unstructured":"Dirafzoon, A., Lobaton, E.: Topological mapping of unknown environments using an unlocalized robotic swarm. In: International Conference on Intelligent Robots and Systems\u00a0(IROS) (2013)","DOI":"10.1109\/IROS.2013.6697160"},{"key":"29_CR7","doi-asserted-by":"crossref","unstructured":"Dirafzoon, A., Betthauser, J., Schornick, J., Benavides, D., Lobaton, E.: Mapping of unknown environments using minimal sensing from a stochastic swarm. In: International Conference on Intelligent Robots and Systems\u00a0(IROS) (2014)","DOI":"10.1109\/IROS.2014.6943102"},{"key":"29_CR8","unstructured":"Elamvazhuthi, K.: A variational approach to planning, allocation and mapping in robot swarms using infinite dimensional models. Master\u2019s thesis, Arizona State University (2014)"},{"key":"29_CR9","doi-asserted-by":"crossref","unstructured":"Elamvazhuthi, K., Berman, S.: Optimal control of stochastic coverage strategies for robotic swarms. In: International Conference on Robotics and Automation (ICRA) (2015)","DOI":"10.1109\/ICRA.2015.7139435"},{"key":"29_CR10","doi-asserted-by":"crossref","unstructured":"Fattorini, H.O.: Infinite Dimensional Optimization and Control Theory, vol\u00a054. Cambridge University Press, Cambridge (1999)","DOI":"10.1017\/CBO9780511574795"},{"key":"29_CR11","volume-title":"Stochastic Methods: A Handbook for the Natural and Social Sciences","author":"CW Gardiner","year":"2009","unstructured":"Gardiner, C.W.: Stochastic Methods: A Handbook for the Natural and Social Sciences, 4th edn. Springer, Evanston, IL, USA (2009)","edition":"4"},{"key":"29_CR12","volume-title":"Optimization with PDE Constraints","author":"M Hinze","year":"2009","unstructured":"Hinze, M., Pinnau, R., Ulbrich, M., Ulbrich, S.: Optimization with PDE Constraints, vol. 23. Springer, Netherlands (2009)"},{"key":"29_CR13","unstructured":"Horning, M., Lin, M., Siddarth, S., Zou, S., Haberland, M., Yin, K., Bertozzi, A.L.: Compressed sensing environmental mapping by an autonomous robot. In: Proceedings of the Second International Workshop on Robotic Sensor Networks. Seattle, WA (2015)"},{"key":"29_CR14","doi-asserted-by":"crossref","unstructured":"Kirsch, A.: An Introduction to the Mathematical Theory of Inverse Problems, 2nd edn. vol 120. Springer, New York (2011)","DOI":"10.1007\/978-1-4419-8474-6"},{"issue":"1\u20132","key":"29_CR15","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1016\/0921-8890(91)90014-C","volume":"8","author":"B Kuipers","year":"1991","unstructured":"Kuipers, B., Byun, Y.T.: A robot exploration and mapping strategy based on a semantic hierarchy of spatial representations. Int. J. Robot. Auton. Syst. 8(1\u20132), 47\u201363 (1991)","journal-title":"Int. J. Robot. Auton. Syst."},{"key":"29_CR16","doi-asserted-by":"crossref","unstructured":"Liu, S., Mohta, K., Shen, S., Kumar, V.: Towards collaborative mapping and exploration using multiple micro aerial robots. In: International Symposium on Experimental Robotics (ISER) (2014)","DOI":"10.1007\/978-3-319-23778-7_57"},{"key":"29_CR17","volume-title":"Biomedical Imaging, Visualization, and Analysis","author":"RA Robb","year":"1999","unstructured":"Robb, R.A.: Biomedical Imaging, Visualization, and Analysis. Wiley Inc, New York, NY, USA (1999)"},{"key":"29_CR18","doi-asserted-by":"crossref","unstructured":"Robertson, P., Angermann, M., Krach, B.: Simultaneous localization and mapping for pedestrians using only foot-mounted inertial sensors. In: Proceedings of the 11th International Conference on Ubiquitous Computing (Ubicomp) (2009)","DOI":"10.1145\/1620545.1620560"},{"issue":"5","key":"29_CR19","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1177\/02783640122067435","volume":"20","author":"S Thrun","year":"2001","unstructured":"Thrun, S.: A probabilistic online mapping algorithm for teams of mobile robots. Int. J. Robot. Res. 20(5), 335\u2013363 (2001)","journal-title":"Int. J. Robot. Res."},{"key":"29_CR20","unstructured":"Thrun, S., B\u00fccken, A.: Integrating grid-based and topological maps for mobile robot navigation. In: Proceedings of the AAAI 13th National Conference on Artificial Intelligence (1996)"},{"issue":"2","key":"29_CR21","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1007\/s10439-013-0952-x","volume":"42","author":"S Tong","year":"2014","unstructured":"Tong, S., Fine, E.J., Lin, Y., Cradick, T.J., Bao, G.: Nanomedicine: tiny particles and machines give huge gains. Ann. Biomed. Eng. 42(2), 243\u2013259 (2014)","journal-title":"Ann. Biomed. Eng."},{"key":"29_CR22","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, RI, USA (2010)"},{"key":"29_CR23","doi-asserted-by":"crossref","unstructured":"Tuchin, V.V.: Tissue Optics, Light Scattering Methods and Instruments for Medical Diagnosis, 3rd edn. vol. PM254. Spie Press Book (2015)","DOI":"10.1117\/3.1003040"},{"issue":"4","key":"29_CR24","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1007\/s11721-014-0100-8","volume":"8","author":"S Wilson","year":"2014","unstructured":"Wilson, S., Pavlic, T.P., Kumar, G.P., Buffin, A., Pratt, S.C., Berman, S.: Design of ant-inspired stochastic control policies for collective transport by robotic swarms. Swarm Intell. 8(4), 303\u2013327 (2014)","journal-title":"Swarm Intell."}],"container-title":["Springer Proceedings in Advanced Robotics","Robotics Research"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-51532-8_29","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,1]],"date-time":"2019-10-01T13:08:34Z","timestamp":1569935314000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-51532-8_29"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,7,27]]},"ISBN":["9783319515311","9783319515328"],"references-count":24,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-51532-8_29","relation":{},"ISSN":["2511-1256","2511-1264"],"issn-type":[{"type":"print","value":"2511-1256"},{"type":"electronic","value":"2511-1264"}],"subject":[],"published":{"date-parts":[[2017,7,27]]}}}