{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T06:05:33Z","timestamp":1775023533092,"version":"3.50.1"},"reference-count":20,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2004,6]]},"abstract":"<jats:p> We present a derivation of the unscented Kalman filter (UKF) as an approximation to the optimal Bayesian filter equations. The potentials of the UKF are then demonstrated for the problem of simultaneous estimation of states and parameters from noise corrupted data of nonlinear dynamical systems. The UKF even works for the chaotic Chua system which includes nondifferentiable terms. <\/jats:p>","DOI":"10.1142\/s0218127404010515","type":"journal-article","created":{"date-parts":[[2004,7,9]],"date-time":"2004-07-09T12:53:32Z","timestamp":1089377612000},"page":"2093-2105","source":"Crossref","is-referenced-by-count":20,"title":["THE UNSCENTED KALMAN FILTER, A POWERFUL TOOL FOR DATA ANALYSIS"],"prefix":"10.1142","volume":"14","author":[{"given":"A.","family":"SITZ","sequence":"first","affiliation":[{"name":"Center for Complex Dynamics, Am Neuen Palais 10, 14469 Potsdam, Germany"}]},{"given":"U.","family":"SCHWARZ","sequence":"additional","affiliation":[{"name":"Center for Complex Dynamics, Am Neuen Palais 10, 14469 Potsdam, Germany"}]},{"given":"J.","family":"KURTHS","sequence":"additional","affiliation":[{"name":"Center for Complex Dynamics, Am Neuen Palais 10, 14469 Potsdam, Germany"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-59281-2","volume-title":"Chaos \u2014 An Introduction to Dynamical Systems","author":"Alligood K.","year":"1997"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.59.337"},{"key":"rf3","volume-title":"Tracking and Data Association","author":"Bar-Shalom Y.","year":"1988"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(85)90012-X"},{"key":"rf6","volume":"8","author":"Bulirsch R.","journal-title":"Numer. Math."},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1986.1085869"},{"key":"rf8","unstructured":"F. E.\u00a0Daum, Bayesian Analysis of Time Series and Dynamic Models, ed. J. C.\u00a0Spall (1988)\u00a0pp. 199\u2013226."},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/0771-050X(80)90013-3"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3437-9"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1080\/10556789508805633"},{"key":"rf13","volume-title":"Applied Optimal Estimation","author":"Gelb A.","year":"1974"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1017\/CCOL0521382483"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-03709-6"},{"key":"rf17","author":"Julier S.","journal-title":"Automatica"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1115\/1.3658902"},{"key":"rf19","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1109\/TAC.1979.1101943","volume":"24","author":"Ljung L.","journal-title":"IEEE Trans. Autom. Contr."},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1984.1085459"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0469(1994)051<1037:ADAISN>2.0.CO;2"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.66.016210"},{"key":"rf24","first-page":"978","volume":"7","author":"van der Pol B.","journal-title":"London Phil. Mag. Ser."}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127404010515","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:05:37Z","timestamp":1565136337000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127404010515"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,6]]},"references-count":20,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2004,6]]}},"alternative-id":["10.1142\/S0218127404010515"],"URL":"https:\/\/doi.org\/10.1142\/s0218127404010515","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,6]]}}}