{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T17:57:46Z","timestamp":1754157466400,"version":"3.41.2"},"reference-count":31,"publisher":"Emerald","issue":"3\/4","license":[{"start":{"date-parts":[[2009,4,10]],"date-time":"2009-04-10T00:00:00Z","timestamp":1239321600000},"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":[[2009,4,10]]},"abstract":"<jats:sec><jats:title content-type=\"abstract-heading\">Purpose<\/jats:title><jats:p>Passivity theory is closely related to both electrical network and circuit analysis methods. The purpose of this paper is to try to establish some basic results on the uncertain discrete\u2010time fuzzy systems.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Design\/methodology\/approach<\/jats:title><jats:p>Applying the classical and effective Lyapunov function method and the powerful linear matrix inequality toolbox in MATLAB, the paper provides some sufficient conditions to verify the passivity of the uncertain discrete\u2010time fuzzy systems, or to passify such a system.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>For uncertain discrete\u2010time fuzzy systems, its passivity can be easily verified numerically, and its passification can also be fulfilled.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Practical implications<\/jats:title><jats:p>A very effective and convenient criterion is provided to test the passivity of practical nonlinear discrete\u2010time system or to passify it.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>This paper first treats this topic on uncertain discrete\u2010time fuzzy systems and obtains some important results.<\/jats:p><\/jats:sec>","DOI":"10.1108\/03684920910944092","type":"journal-article","created":{"date-parts":[[2009,5,30]],"date-time":"2009-05-30T07:06:13Z","timestamp":1243667173000},"page":"396-405","source":"Crossref","is-referenced-by-count":2,"title":["Passivity and passification analysis of uncertain discrete\u2010time fuzzy systems"],"prefix":"10.1108","volume":"38","author":[{"given":"Xingwen","family":"Liu","sequence":"first","affiliation":[]}],"member":"140","reference":[{"key":"key2022020620382949600_b2","unstructured":"Bevelevich, V. (1968), Classical Network Synthesis, Van Nostrand, New York, NY."},{"key":"key2022020620382949600_b26","doi-asserted-by":"crossref","unstructured":"Boyd, S., Ghaoui, E., Feron, E. and Balakrishnan, V. (1994), Linear Matrix Inequalities in System and Control Theory, SIAM, Philadephia, PA.","DOI":"10.1137\/1.9781611970777"},{"key":"key2022020620382949600_b22","doi-asserted-by":"crossref","unstructured":"Calcev, G. (1998a), \u201cPassivity approach to fuzzy control systems\u201d, Automatica, Vol. 33, pp. 339\u201044.","DOI":"10.1016\/S0005-1098(97)00202-1"},{"key":"key2022020620382949600_b21","doi-asserted-by":"crossref","unstructured":"Calcev, G. (1998b), \u201cSome remarks on the stability of Mamdani fuzzy control systems\u201d, IEEE Trans. on Fuzzy Systems, Vol. 6, pp. 436\u201042.","DOI":"10.1109\/91.705511"},{"key":"key2022020620382949600_b23","doi-asserted-by":"crossref","unstructured":"Calcev, G., Gorez, R. and Wertz, V. (1999), \u201cPassivity and fuzzy control of singularly perturbed systems\u201d, Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, AZ, USA, pp. 4364\u20107.","DOI":"10.1109\/CDC.1999.833229"},{"key":"key2022020620382949600_b19","unstructured":"Chen, H. (2005), \u201cFault tolerant control for switched reluctance motor drive based on fuzzy logic\u201d, Advances in Systems Science and Applications, Vol. 5, pp. 219\u201024."},{"key":"key2022020620382949600_b5","doi-asserted-by":"crossref","unstructured":"Chua, L. (1999), \u201cPassivity and complexity\u201d, IEEE Transactions on Circuits and Systems\u2010I, Vol. 46, pp. 71\u201082.","DOI":"10.1109\/81.739186"},{"key":"key2022020620382949600_b8","doi-asserted-by":"crossref","unstructured":"Commuri, S. and Lewis, F. (1997), \u201cCMAC neural networks for control of nonlinear dynamical systems: structure, stability, and passivity\u201d, Automatica, Vol. 33, pp. 635\u201041.","DOI":"10.1016\/S0005-1098(96)00180-X"},{"key":"key2022020620382949600_b3","doi-asserted-by":"crossref","unstructured":"Desoer, C. and Vidyasagar, M. (1975), Feedback System: Input\u2010output Properties, Academic Press, New York, NY.","DOI":"10.1115\/1.3426967"},{"key":"key2022020620382949600_b14","doi-asserted-by":"crossref","unstructured":"Fridman, E. and Shaked, U. (2002), \u201cOn delay\u2010dependent passivity\u201d, IEEE Transactions on Automatic Control, Vol. 47, pp. 664\u20109.","DOI":"10.1109\/9.995046"},{"key":"key2022020620382949600_b17","unstructured":"Guo, S., Li, W. and Chen, G. (2005), \u201cFuzzy reasoning based on statistical information\u201d, Advances in Systems Science and Applications, Vol. 5, pp. 201\u20107."},{"key":"key2022020620382949600_b1","doi-asserted-by":"crossref","unstructured":"Hill, D. and Moylan, P. (1976), \u201cThe stability of nonlinear dissipative systems\u201d, IEEE Transactions on Automatic Control, Vol. 21, pp. 708\u201011.","DOI":"10.1109\/TAC.1976.1101352"},{"key":"key2022020620382949600_b4","doi-asserted-by":"crossref","unstructured":"Hill, D. and Moylan, P. (1977), \u201cStability results for nonlinear feedback systems\u201d, Automatica, Vol. 13, pp. 377\u201082.","DOI":"10.1016\/0005-1098(77)90020-6"},{"key":"key2022020620382949600_b7","doi-asserted-by":"crossref","unstructured":"Li, C. and Liao, X. (2005), \u201cPassivity analysis of neural networks with time delay\u201d, IEEE Transactions on Circuits and Systems\u2010II, Vol. 52, pp. 471\u20105.","DOI":"10.1109\/TCSII.2005.849023"},{"key":"key2022020620382949600_b24","doi-asserted-by":"crossref","unstructured":"Li, C., Zhang, H. and Liao, X. (2005), \u201cPassivity and passification of uncertain fuzzy systems\u201d, IEE Proceedings Circuits Devices Systems, Chengdu, People's Republic of China, Vol. 152, pp. 649\u201053.","DOI":"10.1049\/ip-cds:20045192"},{"key":"key2022020620382949600_b29","doi-asserted-by":"crossref","unstructured":"Lin, Y. (1990), \u201cGeneral controllability and general stabilities of linear systems\u201d, International Journal of Systems Sciences, Vol. 21 No. 1, pp. 193\u2010203.","DOI":"10.1080\/00207729008910353"},{"key":"key2022020620382949600_b31","doi-asserted-by":"crossref","unstructured":"Lin, Y. (2001), \u201cInformation, prediction and structural whole: an introduction\u201d, Kybernetes, Vol. 30 No. 4, pp. 350\u201064.","DOI":"10.1108\/03684920110386892"},{"key":"key2022020620382949600_b25","doi-asserted-by":"crossref","unstructured":"Liu, X. (2007a), \u201cPassivity analysis of uncertain fuzzy delayed systems\u201d, Chaos, Solitons & Fractals, Vol. 34, pp. 833\u20108.","DOI":"10.1016\/j.chaos.2006.03.093"},{"key":"key2022020620382949600_b13","doi-asserted-by":"crossref","unstructured":"Liu, X. (2007b), \u201cPassivity and passification of T\u2010S fuzzy\u2010model\u2010based switched uncertain systems\u201d, Proceedings of the 3rd International Conference on Natural Computation and the 4th International Conference on Fuzzy Systems and Knowledge Discovery, Vol. II, pp. 30\u20104.","DOI":"10.1109\/FSKD.2007.446"},{"key":"key2022020620382949600_b16","doi-asserted-by":"crossref","unstructured":"Liu, X. (2007c), \u201cPassivity and passification of uncertain fuzzy large\u2010scale systems\u201d, International Conference on Communications, Circuits and Systems Proceedings, Washington, DC, pp. 1230\u20104.","DOI":"10.1109\/ICCCAS.2007.4348269"},{"key":"key2022020620382949600_b12","unstructured":"Liu, X., Liu, X. and Zhong, S. (2006), \u201cPassivity analysis of uncertain fuzzy systems with impulsive effects\u201d, Dynamics of Continuous, Discrete and Impulsive Systems, Vol. 13, pp. 1575\u20109."},{"key":"key2022020620382949600_b15","doi-asserted-by":"crossref","unstructured":"Navarro\u2010Lopez, E.M. and Fossas\u2010Colet, E. (2004), \u201cFeedback passivity of nonlinear discrete\u2010time systems with direct input\u2010output link\u201d, Automatica, Vol. 40, pp. 1423\u20108.","DOI":"10.1016\/j.automatica.2004.03.009"},{"key":"key2022020620382949600_b30","doi-asserted-by":"crossref","unstructured":"OuYang, S.C., Miao, J.H., Wu, Y., Lin, Y., Peng, T.Y. and Xiao, T.G. (2000), \u201cSecond stir and incompleteness of quantitative analysis\u201d, Kybernetes: The International Journal of Systems & Cybernetics, Vol. 29, pp. 53\u201070.","DOI":"10.1108\/03684920010308853"},{"key":"key2022020620382949600_b27","doi-asserted-by":"crossref","unstructured":"Takagi, T. (1995), \u201cStability and stabilizability of fuzzy\u2010neural linear control systems\u201d, IEEE Transactions on Fuzzy Systems, Vol. 3, pp. 438\u201047.","DOI":"10.1109\/91.481952"},{"key":"key2022020620382949600_b28","doi-asserted-by":"crossref","unstructured":"Wang, H., Tanaka, K. and Griffin, M. (1996), \u201cAn approach to fuzzy control of nonlinear systems: stability and design issues\u201d, IEEE Transactions on Fuzzy Systems, Vol. 4, pp. 14\u201023.","DOI":"10.1109\/91.481841"},{"key":"key2022020620382949600_b18","unstructured":"Xu, G., Cai, T. and Peng, F. (2005), \u201cA fuzzy approach to segment undersea hydrothermal vent images\u201d, Advances in Systems Science and Applications, Vol. 5, pp. 208\u201013."},{"key":"key2022020620382949600_b11","unstructured":"Yao, J., Guan, Z., Hill, D. and Wang, H. (2005), \u201cOn passivity and impulsive control of complex dynamical networks with coupling delays\u201d, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference 2005, Seville, Spain, pp. 1595\u2010600."},{"key":"key2022020620382949600_b10","doi-asserted-by":"crossref","unstructured":"Yu, W. (2003), \u201cPassivity analysis for dynamic multilayer neuro identifier\u201d, IEEE Transactions on Circuits and Systems\u2010I, Vol. 50, pp. 173\u20108.","DOI":"10.1109\/TCSI.2002.807519"},{"key":"key2022020620382949600_b9","doi-asserted-by":"crossref","unstructured":"Yu, W. and Li, X. (2001), \u201cSome stability properties of dynamic neural networks\u201d, IEEE Transactions on Circuits and Systems I, Vol. 48, pp. 256\u20109.","DOI":"10.1109\/81.904893"},{"key":"key2022020620382949600_b20","unstructured":"Zhang, X., Fang, Y. and Meng, G. (2005), \u201cApplication of fuzzy set pattern recognition on the study of brain jam\u201d, Advances in Systems Science and Applications, Vol. 5, pp. 229\u201033."},{"key":"key2022020620382949600_b6","doi-asserted-by":"crossref","unstructured":"Zio, E. and Baraldi, P. (2004), \u201cSensitivity analysis and fuzzy modelling for passive systems reliability assessment\u201d, Annals of Nuclear Energy, Vol. 31, pp. 277\u2010301.","DOI":"10.1016\/S0306-4549(03)00220-2"}],"container-title":["Kybernetes"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/03684920910944092\/full\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/03684920910944092\/full\/html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T23:53:32Z","timestamp":1753401212000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.emerald.com\/k\/article\/38\/3-4\/396-405\/451328"}},"subtitle":[],"editor":[{"given":"Mian\u2010yun","family":"Chen","sequence":"first","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2009,4,10]]},"references-count":31,"journal-issue":{"issue":"3\/4","published-print":{"date-parts":[[2009,4,10]]}},"alternative-id":["10.1108\/03684920910944092"],"URL":"https:\/\/doi.org\/10.1108\/03684920910944092","relation":{},"ISSN":["0368-492X"],"issn-type":[{"type":"print","value":"0368-492X"}],"subject":[],"published":{"date-parts":[[2009,4,10]]}}}