{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T17:57:24Z","timestamp":1754157444234,"version":"3.41.2"},"reference-count":9,"publisher":"Emerald","issue":"9\/10","license":[{"start":{"date-parts":[[2008,10,17]],"date-time":"2008-10-17T00:00:00Z","timestamp":1224201600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008,10,17]]},"abstract":"Purpose<\/jats:title>To find martingale theory and methods of parameter vector estimation of multidimensional linear control system in dynamic system.<\/jats:p><\/jats:sec>Design\/methodology\/approach<\/jats:title>In parameter vector estimation of dynamic system, due to the limitation of conventional methods, the authors study the iterative formula and consistency of parameter vector estimation using the theory and methods of martingale, and extend its application field.<\/jats:p><\/jats:sec>Findings<\/jats:title>Some conditions of strongly consistent estimation and iterative formula are obtained. And the consistency of parameter vector estimation in multidimensional linear control system is discussed.<\/jats:p><\/jats:sec>Practical implications<\/jats:title>Solved some practical problems of parameter vector estimation in dynamic system.<\/jats:p><\/jats:sec>Originality\/value<\/jats:title>The paper solve the accuracy problem of parameter vector estimation of multidimensional linear control system in dynamic system and extend parameter vector estimation application field.<\/jats:p><\/jats:sec>","DOI":"10.1108\/03684920810907715","type":"journal-article","created":{"date-parts":[[2008,10,25]],"date-time":"2008-10-25T07:12:55Z","timestamp":1224918775000},"page":"1409-1416","source":"Crossref","is-referenced-by-count":0,"title":["Certain martingale methods of parameter estimation in dynamic system"],"prefix":"10.1108","volume":"37","author":[{"given":"Kong","family":"Fanliang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wang","family":"Guizhi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ping","family":"Yu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"140","reference":[{"key":"key2022020320090965300_b5","unstructured":"Doob, J.L. (1970), \u201cNotes on martingale theory\u201d, paper presented at 4th Berkeley Symposium."},{"key":"key2022020320090965300_b1","unstructured":"Kong, F. (1998), \u201cThe strong and weak law of large number theorems for B\u2010valued asymptotic martingales\u201d, Acta Mathematica Sinica, Vol. 41 No. 3, pp. 667\u201072."},{"key":"key2022020320090965300_b2","unstructured":"Kong, F. (2001), \u201cStudy and application for nonlinear theory and method of the forecast on the short\u2010term climatic process\u201d, Advances in Systems Science and Applications, Vol. 1 No. 2, pp. 130\u20104."},{"key":"key2022020320090965300_b6","unstructured":"Kong, F. (2004), \u201cCertain martingale methods in parameter estimation\u201d, Advances in System Science and Applications, Vol. 4 No. 1, pp. 1\u20106."},{"key":"key2022020320090965300_b4","doi-asserted-by":"crossref","unstructured":"Kong, F. (2006), \u201cThe estimation property for B\u2010valued asymptotic martingales\u201d, Progress in Natural Science, Vol. 16 No. 7, pp. 773\u20107.","DOI":"10.1080\/10020070612330068"},{"key":"key2022020320090965300_b3","unstructured":"Kong, F. (2007), \u201cMartingale method of optimization design in investment and effectiveness model\u201d, Advances in System Science and Applications, Vol. 7 No. 1, pp. 1\u20106."},{"key":"key2022020320090965300_b7","doi-asserted-by":"crossref","unstructured":"Lin, Y. (1989), \u201cRemarks on the concept of dynamical systems\u201d, Cybernetics and Systems: An International J., Vol. 20 No. 5, pp. 435\u201050.","DOI":"10.1080\/01969728908902217"},{"key":"key2022020320090965300_b9","unstructured":"Lin, Y. (1991), \u201cSimilarity between general systems\u201d, Systems Analysis, Modelling, Simulation, Vol. 8 No. 8, pp. 607\u201015."},{"key":"key2022020320090965300_b8","doi-asserted-by":"crossref","unstructured":"Lin, Y. and Ma, Y. (1990), \u201cGeneral feedback systems\u201d, International J. General Systems, Vol. 18 No. 2, pp. 143\u201054.","DOI":"10.1080\/03081079008935134"}],"container-title":["Kybernetes"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.emeraldinsight.com\/doi\/full-xml\/10.1108\/03684920810907715","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/03684920810907715\/full\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/03684920810907715\/full\/html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T23:53:25Z","timestamp":1753401205000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.emerald.com\/k\/article\/37\/9-10\/1409-1416\/459690"}},"subtitle":[],"editor":[{"given":"Mian\u2010yun","family":"Chen","sequence":"first","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2008,10,17]]},"references-count":9,"journal-issue":{"issue":"9\/10","published-print":{"date-parts":[[2008,10,17]]}},"alternative-id":["10.1108\/03684920810907715"],"URL":"https:\/\/doi.org\/10.1108\/03684920810907715","relation":{},"ISSN":["0368-492X"],"issn-type":[{"type":"print","value":"0368-492X"}],"subject":[],"published":{"date-parts":[[2008,10,17]]}}}