{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:18:15Z","timestamp":1787321895358,"version":"build-2736575974"},"reference-count":37,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Control Optim."],"published-print":{"date-parts":[[2015,1]]},"abstract":"<jats:p>The optimal control sequence is found for the capture by a pursuer of the identities of an arbitrary number of evaders. The pursuer moves to observe the face of each evader, which each evader simultaneously moves to conceal. A dynamic game model is used, with metrics defining evader observability and utility functions embodying pursuer and evader control objectives. Nash equilibria are found specifying player strategies in a repeated game with perfect but either complete or incomplete information. The evolution of evasive runaway, identity capture, and stopping is characterized, and an exact solution with proof is found for the optimal sequence of pursuer controls which results in the identification of an arbitrary number of evaders in minimum time. Performance illustrations of the optimal sequencing are provided.<\/jats:p>","DOI":"10.1137\/140963765","type":"journal-article","created":{"date-parts":[[2015,7,7]],"date-time":"2015-07-07T11:35:34Z","timestamp":1436268934000},"page":"1815-1841","source":"Crossref","is-referenced-by-count":1,"title":["Control Sequencing in a Game of Identity Pursuit-Evasion"],"prefix":"10.1137","volume":"53","author":[{"given":"Carl J.","family":"Wenk","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2015,7,7]]},"reference":[{"key":"atypb1","doi-asserted-by":"crossref","unstructured":"L. D. Berkovitz,\n                      Convexity and Optimization in $\\mathbb{R}^n$\n                      , John Wiley & Sons, New York, 2002.","DOI":"10.1002\/047124970X"},{"key":"atypb2","unstructured":"D. P. Bertsekas,\n                      Dynamic Programming and Optimal Control\n                      , Athena Scientific, Belmont, MA, 2000."},{"key":"atypb3","doi-asserted-by":"crossref","unstructured":"T. Bas\u0327ar and P. Bernhard,\n                      $\\mathbb{H}^\\infty$-Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach\n                      , 2nd ed., Modern Birkha\u0308user Classics, Birkha\u0308user, Boston, 2008.","DOI":"10.1007\/978-0-8176-4757-5"},{"key":"atypb4","unstructured":"T. Bas\u0327ar and G. J. Olsder,\n                      Dynamic Noncooperative Game Theory\n                      , Academic Press, New York 1982."},{"key":"atypb5","unstructured":"A. J. Jones,\n                      Game Theory: Mathematical Models of Conflict\n                      , Ellis Horwood, Ltd., Chichester, UK, 1980."},{"key":"atypb6","unstructured":"E. A. Ok,\n                      Real Analysis with Economic Applications\n                      , Princeton University Press, Princeton, NJ, 2007."},{"key":"atypb7","unstructured":"G. Birkhoff and S. Mac Lane,\n                      A Survey of Modern Algebra\n                      , A K Peters, Natick, MA, 1997."},{"key":"atypb8","doi-asserted-by":"crossref","unstructured":"W. M. Haddad and V. Chellaboina,\n                      Nonlinear Dynamical Systems and Control\n                      , Princeton University Press, Princeton, NJ, 2008.","DOI":"10.1515\/9781400841042"},{"key":"atypb9","unstructured":"Y. Yavin and M. Pachter,\n                      Pursuit-Evasion Differential Games\n                      , Pergamon, New York, 1987."},{"key":"atypb10","unstructured":"R. Isaacs,\n                      Differential Games: A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization\n                      , John Wiley & Sons, New York, 1965."},{"key":"atypb11","unstructured":"J. C. Engwerda,\n                      LQ Dynamic Optimization and Differential Games\n                      , John Wiley & Sons, Chichester, UK, 2005."},{"key":"atypb12","doi-asserted-by":"crossref","unstructured":"V. I. Zhukovskiy,\n                      Lyapunov Functions in Differential Games\n                      , Taylor and Francis, Ltd., London, 2003.","DOI":"10.1201\/9781482264999"},{"key":"atypb13","unstructured":"S. Alpern and S. Gal,\n                      The Theory of Search Games and Rendezvous\n                      , Kluwer, Dordrecht, The Netherlands, 2003."},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1007\/s10514-011-9241-4"},{"key":"atypb15","first-page":"5","volume":"59","author":"Alspach B.","year":"2004","journal-title":"Matematiche (Catania)"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2008.02.040"},{"key":"atypb17","doi-asserted-by":"crossref","unstructured":"Y. Shoham and K. Leyton-Brown,\n                      Multiagent Systems: Algorithmic, Game-Theoretic and Logical Foundations\n                      , Cambridge University Press, Cambridge, UK, 2009.","DOI":"10.1017\/CBO9780511811654"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCC.2007.913919"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1007\/s10458-005-2631-2"},{"key":"atypb20","first-page":"47","author":"Fomin F. V.","year":"1996","journal-title":"MB"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1142\/S0218195999000273"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1137\/110845665"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1109\/5326.923266"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1016\/0166-218X(84)90073-8"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1137\/060672054"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1017\/S0963548303005625"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1137\/0402013"},{"key":"atypb28","doi-asserted-by":"publisher","DOI":"10.1137\/0219070"},{"key":"atypb29","doi-asserted-by":"publisher","DOI":"10.1137\/070700991"},{"key":"atypb30","doi-asserted-by":"publisher","DOI":"10.1137\/S0895480104442169"},{"key":"atypb31","doi-asserted-by":"publisher","DOI":"10.1137\/0324002"},{"key":"atypb32","doi-asserted-by":"publisher","DOI":"10.1137\/130941328"},{"key":"atypb33","doi-asserted-by":"publisher","DOI":"10.1137\/120893938"},{"key":"atypb34","doi-asserted-by":"publisher","DOI":"10.1137\/090781115"},{"key":"atypb35","doi-asserted-by":"publisher","DOI":"10.1137\/100784035"},{"key":"atypb36","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012993249195"},{"key":"atypb37","doi-asserted-by":"crossref","unstructured":"K. E. Parsopoulos and M. N. Vrahatis,\n                      Particle Swarm Optimization and Intelligence: Advances and Application\n                      s, Information Science Reference, Hershey, PA, 2010.","DOI":"10.4018\/978-1-61520-666-7"}],"container-title":["SIAM Journal on Control and Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/140963765","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:16:00Z","timestamp":1787318160000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/140963765"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1]]},"references-count":37,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2015,1]]}},"alternative-id":["10.1137\/140963765"],"URL":"https:\/\/doi.org\/10.1137\/140963765","relation":{},"ISSN":["0363-0129","1095-7138"],"issn-type":[{"value":"0363-0129","type":"print"},{"value":"1095-7138","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1]]}}}