{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T22:00:25Z","timestamp":1740175225491,"version":"3.37.3"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T00:00:00Z","timestamp":1498089600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"the National Nature Science Foundation","award":["61673215"],"award-info":[{"award-number":["61673215"]}]},{"name":"the Natural Science Foundation of Shandong Province for Outstanding Young Talents in Provincial Universities","award":["ZR2016JL025"],"award-info":[{"award-number":["ZR2016JL025"]}]},{"name":"the National Nature Sicence Foundation","award":["61403199"],"award-info":[{"award-number":["61403199"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int. J. Fuzzy Syst."],"published-print":{"date-parts":[[2018,3]]},"DOI":"10.1007\/s40815-017-0339-5","type":"journal-article","created":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T03:46:56Z","timestamp":1498103216000},"page":"741-749","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Relaxed Stability Conditions for Discrete-Time T\u2013S Fuzzy Systems via Double Homogeneous Polynomial Approach"],"prefix":"10.1007","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0228-6167","authenticated-orcid":false,"given":"Jun","family":"Chen","sequence":"first","affiliation":[]},{"given":"Shengyuan","family":"Xu","sequence":"additional","affiliation":[]},{"given":"Qian","family":"Ma","sequence":"additional","affiliation":[]},{"given":"Guangming","family":"Zhuang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,6,22]]},"reference":[{"issue":"1","key":"339_CR1","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1109\/TSMC.1985.6313399","volume":"SMC\u201315","author":"T Takagi","year":"1985","unstructured":"Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst. Man Cybern. SMC\u201315(1), 116\u2013132 (1985)","journal-title":"IEEE Trans. Syst. Man Cybern."},{"key":"339_CR2","doi-asserted-by":"crossref","DOI":"10.1002\/0471224596","volume-title":"Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach","author":"K Tanaka","year":"2001","unstructured":"Tanaka, K., Wang, H.O.: Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. Wiley, New York (2001)"},{"issue":"4","key":"339_CR3","doi-asserted-by":"crossref","first-page":"582","DOI":"10.1109\/TFUZZ.2003.814861","volume":"11","author":"K Tanaka","year":"2003","unstructured":"Tanaka, K., Hori, T., Wang, H.O.: A multiple Lyapunov function approach to stability of fuzzy control systems. IEEE Trans. Fuzzy Syst. 11(4), 582\u2013589 (2003)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"1","key":"339_CR4","doi-asserted-by":"crossref","first-page":"230","DOI":"10.1016\/j.ins.2011.06.008","volume":"185","author":"DH Lee","year":"2012","unstructured":"Lee, D.H., Park, J.B., Joo, Y.H.: A fuzzy Lyapunov function approach to estimating the domain of attraction for continuous-time Takagi\u2013Sugeno fuzzy systems. Inf. Sci. 185(1), 230\u2013248 (2012)","journal-title":"Inf. Sci."},{"issue":"24","key":"339_CR5","doi-asserted-by":"crossref","first-page":"2671","DOI":"10.1016\/j.fss.2007.06.016","volume":"158","author":"A Sala","year":"2007","unstructured":"Sala, A., Arino, C.: Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: applications of Polya\u2019s theorem. Fuzzy Sets Syst. 158(24), 2671\u20132686 (2007)","journal-title":"Fuzzy Sets Syst."},{"issue":"5","key":"339_CR6","doi-asserted-by":"crossref","first-page":"1101","DOI":"10.1109\/TFUZZ.2013.2281993","volume":"22","author":"C Peng","year":"2014","unstructured":"Peng, C., Yue, D., Fei, M.R.: Relaxed stability and stabilization conditions of networked fuzzy control systems subject to asynchronous grades of membership. IEEE Trans. Fuzzy Syst. 22(5), 1101\u20131112 (2014)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"10","key":"339_CR7","doi-asserted-by":"crossref","first-page":"2218","DOI":"10.1016\/j.jfranklin.2016.03.018","volume":"353","author":"J Chen","year":"2016","unstructured":"Chen, J., Xu, S., Li, Y., Qi, Z., Chu, Y.: Improvement on stability conditions for continuous-time T\u2013S fuzzy systems. J. Frankl. Inst. 353(10), 2218\u20132236 (2016)","journal-title":"J. Frankl. Inst."},{"issue":"12","key":"339_CR8","doi-asserted-by":"crossref","first-page":"5796","DOI":"10.1016\/j.jfranklin.2015.08.015","volume":"352","author":"J Chen","year":"2015","unstructured":"Chen, J., Xu, S., Li, Y., Chu, Y., Zou, Y.: Further studies on stability and stabilization conditions for discrete-time T\u2013S systems with the order relation information of membership functions. J. Frankl. Inst. 352(12), 5796\u20135809 (2015)","journal-title":"J. Frankl. Inst."},{"issue":"5","key":"339_CR9","doi-asserted-by":"crossref","first-page":"2470","DOI":"10.1109\/TAC.2016.2606902","volume":"62","author":"J Chen","year":"2017","unstructured":"Chen, J., Xu, S., Jia, X., Zhang, B.: Novel summation inequalities and their applications to stability analysis for systems with time-varying delay. IEEE Trans. Autom. Control. 62(5), 2470\u20132475 (2017)","journal-title":"IEEE Trans. Autom. Control."},{"issue":"12","key":"339_CR10","doi-asserted-by":"crossref","first-page":"3268","DOI":"10.1016\/j.automatica.2014.10.053","volume":"50","author":"X Su","year":"2014","unstructured":"Su, X., Wu, L., Shi, P., Song, Y.: A novel approach to output feedback control of fuzzy stochastic systems. Automatica 50(12), 3268\u20133275 (2014)","journal-title":"Automatica"},{"issue":"4","key":"339_CR11","doi-asserted-by":"crossref","first-page":"655","DOI":"10.1109\/TFUZZ.2012.2226941","volume":"21","author":"X Su","year":"2013","unstructured":"Su, X., Shi, P., Wu, L., Song, Y.: A novel control design on discrete-time Takagi\u2013Sugeno fuzzy systems with time-varying delays. IEEE Trans. Fuzzy Syst. 21(4), 655\u2013671 (2013)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"1","key":"339_CR12","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1109\/TSMCB.2010.2051541","volume":"41","author":"L Wu","year":"2011","unstructured":"Wu, L., Su, X., Shi, P., Qiu, J.: A new approach to stability analysis and stabilization of discrete-time TS fuzzy time-varying delay systems. IEEE Trans. Syst. Man Cybern. B Cybern. 41(1), 273\u2013286 (2011)","journal-title":"IEEE Trans. Syst. Man Cybern. B Cybern."},{"issue":"3","key":"339_CR13","first-page":"372","volume":"14","author":"TM Guerra","year":"2012","unstructured":"Guerra, T.M., Miguel, M.: Strategies to exploit non-quadratic local stability analysis. Int. J. Fuzzy Syst. 14(3), 372\u2013379 (2012)","journal-title":"Int. J. Fuzzy Syst."},{"issue":"1","key":"339_CR14","first-page":"1","volume":"15","author":"K Guelton","year":"2013","unstructured":"Guelton, K., Manamanni, N., Duong, C.C., Koumba-Emianiwe, D.L.: Sum-of-squares stability analysis of Takagi\u2013Sugeno systems based on multiple polynomial Lyapunov functions. Int. J. Fuzzy Syst. 15(1), 1\u20138 (2013)","journal-title":"Int. J. Fuzzy Syst."},{"issue":"6","key":"339_CR15","first-page":"1943","volume":"23","author":"H Li","year":"2015","unstructured":"Li, H., Sun, X., Wu, L., Lam, H.: State and output feedback control of a class of fuzzy systems with mismatched membership functions. IEEE Trans. Syst. 23(6), 1943\u20131957 (2015)","journal-title":"IEEE Trans. Syst."},{"key":"339_CR16","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ins.2015.01.008","volume":"302","author":"H Li","year":"2015","unstructured":"Li, H., Sun, X., Shi, P., Lam, H.: Control design of interval type-2 fuzzy systems with actuator fault: sampled-data control approach. Inf. Sci. 302, 1\u201313 (2015)","journal-title":"Inf. Sci."},{"issue":"3","key":"339_CR17","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1109\/TCYB.2014.2327657","volume":"45","author":"Z Lendek","year":"2015","unstructured":"Lendek, Z., Guerra, T.M., Lauber, J.: Controller design for TS models using delayed nonquadratic Lyapunov functions. IEEE Trans. Cybern. 45(3), 453\u2013464 (2015)","journal-title":"IEEE Trans. Cybern."},{"issue":"5","key":"339_CR18","doi-asserted-by":"crossref","first-page":"823","DOI":"10.1016\/j.automatica.2003.12.014","volume":"40","author":"TM Guerra","year":"2004","unstructured":"Guerra, T.M., Vermeiren, L.: LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi\u2013Sugeno\u2019s form. Automatica 40(5), 823\u2013829 (2004)","journal-title":"Automatica"},{"key":"339_CR19","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/j.fss.2011.12.003","volume":"201","author":"TM Guerra","year":"2012","unstructured":"Guerra, T.M., Bernal, M., Guelton, K., Labiod, S.: Non-quadratic local stabilization for continuous-time Takagi\u2013Sugeno models. Fuzzy Sets Syst. 201, 40\u201354 (2012)","journal-title":"Fuzzy Sets Syst."},{"issue":"1","key":"339_CR20","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1109\/TFUZZ.2003.819833","volume":"12","author":"G Feng","year":"2004","unstructured":"Feng, G.: Stability analysis of discrete-time fuzzy dynamic systems based on piecewise Lyapunov functions. IEEE Trans. Fuzzy Syst. 12(1), 22\u201328 (2004)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"5","key":"339_CR21","doi-asserted-by":"crossref","first-page":"994","DOI":"10.1109\/TFUZZ.2010.2053210","volume":"18","author":"B Ding","year":"2010","unstructured":"Ding, B.: Homogeneous polynomially nonquadratic stabilization of discrete-time Takagi\u2013Sugeno systems via nonparallel distributed compensation law. IEEE Trans. Fuzzy Syst. 18(5), 994\u20131000 (2010)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"2","key":"339_CR22","first-page":"425","volume":"18","author":"DH Lee","year":"2010","unstructured":"Lee, D.H., Park, J.B., Joo, Y.H.: Improvement on nonquadratic stabilization of discrete-time Takagi\u2013Sugeno fuzzy systems: multiple-parameterization approach. IEEE Trans. Fuzzy Syst. 18(2), 425\u2013429 (2010)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"1","key":"339_CR23","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1109\/TFUZZ.2012.2210049","volume":"21","author":"X Xie","year":"2013","unstructured":"Xie, X., Ma, H., Zhao, Y., Ding, D.W., Wang, Y.: Control synthesis of discrete-time T\u2013S fuzzy systems based on a novel non-PDC control scheme. IEEE Trans. Fuzzy Syst. 21(1), 147\u2013157 (2013)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"4","key":"339_CR24","doi-asserted-by":"crossref","first-page":"1026","DOI":"10.1109\/TFUZZ.2013.2277583","volume":"22","author":"X Xie","year":"2014","unstructured":"Xie, X., Yue, D., Zhu, X.: Further studies on control synthesis of discrete-time T\u2013S fuzzy systems via useful matrix equalities. IEEE Trans. Fuzzy Syst. 22(4), 1026\u20131031 (2014)","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"339_CR25","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/j.fss.2016.09.007","volume":"314","author":"H Shen","year":"2017","unstructured":"Shen, H., Su, L., Park, J.H.: Reliable mixed \n                        $$H_{\\infty }$$\n                        \n                            \n                                \n                                    H\n                                    \u221e\n                                \n                            \n                        \n                    \/passive control for T\u2013S fuzzy delayed systems based on a semi-Markov jump model approach. Fuzzy Sets Syst. 314, 79\u201398 (2017)","journal-title":"Fuzzy Sets Syst."},{"issue":"9","key":"339_CR26","doi-asserted-by":"crossref","first-page":"688","DOI":"10.1049\/iet-cta.2013.0486","volume":"8","author":"H Shen","year":"2014","unstructured":"Shen, H., Park, J.H., Wu, Z.G.: Finite-time reliable \n                        $$\\cal{L}_2-\\cal{L}_{\\infty }\/\\cal{H}_{\\infty }$$\n                        \n                            \n                                \n                                    \n                                        L\n                                        2\n                                    \n                                    -\n                                    \n                                        L\n                                        \u221e\n                                    \n                                    \/\n                                    \n                                        H\n                                        \u221e\n                                    \n                                \n                            \n                        \n                     control for Takagi\u2013Sugeno fuzzy systems with actuator faults. IET Control Theory Appl. 8(9), 688\u2013696 (2014)","journal-title":"IET Control Theory Appl."},{"key":"339_CR27","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1016\/j.ins.2015.12.027","volume":"337\u2013338","author":"J Chen","year":"2016","unstructured":"Chen, J., Xu, S., Zhang, B., Qi, Z., Li, Z.: Novel stability conditions for discrete-time T\u2013S fuzzy systems: a Kronecker-product approach. Inf. Sci. 337\u2013338, 72\u201381 (2016)","journal-title":"Inf. Sci."},{"key":"339_CR28","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1016\/j.ins.2015.09.036","volume":"329","author":"J Chen","year":"2016","unstructured":"Chen, J., Xu, S., Zhang, B., Chu, Y., Zou, Y.: New relaxed stability and stabilization conditions for continuous-time T\u2013S fuzzy models. Inf. Sci. 329, 447\u2013460 (2016)","journal-title":"Inf. Sci."},{"issue":"6","key":"339_CR29","doi-asserted-by":"crossref","first-page":"1027","DOI":"10.1016\/S0005-1098(03)00039-6","volume":"39","author":"G Chesi","year":"2003","unstructured":"Chesi, G., Garulli, A., Tesi, A., Vicino, A.: Homogeneous Lyapunov functions for systems with structured uncertainties. Automatica 39(6), 1027\u20131035 (2003)","journal-title":"Automatica"},{"issue":"11","key":"339_CR30","doi-asserted-by":"crossref","first-page":"2813","DOI":"10.1016\/j.automatica.2014.10.007","volume":"50","author":"G Chesi","year":"2014","unstructured":"Chesi, G.: Establishing robust stability of discrete-time systems with time-varying uncertainty: the Gram-SOS approach. Automatica 50(11), 2813\u20132821 (2014)","journal-title":"Automatica"},{"issue":"7","key":"339_CR31","doi-asserted-by":"crossref","first-page":"1334","DOI":"10.1109\/TAC.2007.900848","volume":"52","author":"RCLF Oliveira","year":"2007","unstructured":"Oliveira, R.C.L.F., Peres, P.L.D.: Parameter-dependent LMIs in robust analysis: characterization of homogeneous polynomially parameter-dependent solutions via LMI relaxations. IEEE Trans. Autom. Control. 52(7), 1334\u20131340 (2007)","journal-title":"IEEE Trans. Autom. Control."},{"key":"339_CR32","volume-title":"Inequalities","author":"GH Hardy","year":"1952","unstructured":"Hardy, G.H., Littlewood, J.E., Polya, G.: Inequalities, 2nd edn. Cambridge University Press, Cambridge (1952)","edition":"2"}],"container-title":["International Journal of Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s40815-017-0339-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40815-017-0339-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40815-017-0339-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,3,9]],"date-time":"2018-03-09T11:56:38Z","timestamp":1520596598000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s40815-017-0339-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,6,22]]},"references-count":32,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2018,3]]}},"alternative-id":["339"],"URL":"https:\/\/doi.org\/10.1007\/s40815-017-0339-5","relation":{},"ISSN":["1562-2479","2199-3211"],"issn-type":[{"type":"print","value":"1562-2479"},{"type":"electronic","value":"2199-3211"}],"subject":[],"published":{"date-parts":[[2017,6,22]]}}}