{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,17]],"date-time":"2025-09-17T16:17:19Z","timestamp":1758125839149},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2015,1,21]],"date-time":"2015-01-21T00:00:00Z","timestamp":1421798400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2015,8]]},"DOI":"10.1007\/s00034-014-9943-x","type":"journal-article","created":{"date-parts":[[2015,1,20]],"date-time":"2015-01-20T10:56:26Z","timestamp":1421751386000},"page":"2441-2456","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["New Stability Criteria for Uncertain Nonlinear Stochastic Time-Delay Systems"],"prefix":"10.1007","volume":"34","author":[{"given":"Xiufeng","family":"Miao","sequence":"first","affiliation":[]},{"given":"Longsuo","family":"Li","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,1,21]]},"reference":[{"key":"9943_CR1","first-page":"350","volume":"31","author":"Y Cao","year":"2000","unstructured":"Y. Cao, J. Lam, Computation of robust stability bounds for time-delay systems with nonlinear time-varying perturbation. Int. J. Syst. Sci. 31, 350\u2013365 (2000)","journal-title":"Int. J. Syst. Sci."},{"key":"9943_CR2","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1016\/j.sysconle.2004.10.005","volume":"54","author":"WH Chen","year":"2005","unstructured":"W.H. Chen, Z.H. Guan, X.M. Lu, Delay-dependent exponential stability of uncertain stochastic systems with multiple delays: an LMI approach. Syst. Control Lett. 54, 547\u2013555 (2005)","journal-title":"Syst. Control Lett."},{"key":"9943_CR3","doi-asserted-by":"crossref","first-page":"2100","DOI":"10.1016\/j.automatica.2010.08.007","volume":"46","author":"Y Chen","year":"2010","unstructured":"Y. Chen, W.X. Zheng, A.K. Xue, A new result on stability analysis for stochastic neutral systems. Automatica 46, 2100\u20132104 (2010)","journal-title":"Automatica"},{"key":"9943_CR4","volume-title":"Stability of Runge\u2013Kutta Methods for Stiff Nonlinear Differential Equations","author":"K Dekker","year":"1984","unstructured":"K. Dekker, J.G. Verwer, Stability of Runge\u2013Kutta Methods for Stiff Nonlinear Differential Equations (North-Holland, Amsterdam, 1984)"},{"key":"9943_CR5","doi-asserted-by":"crossref","first-page":"849","DOI":"10.1016\/j.na.2004.09.050","volume":"60","author":"T Donchev","year":"2005","unstructured":"T. Donchev, V. Rios, P. Wolenski, Strong invariance and one-sided Lipschitz multifunctions. Nonlinear Anal. Theory 60, 849\u2013862 (2005)","journal-title":"Nonlinear Anal. Theory"},{"key":"9943_CR6","doi-asserted-by":"crossref","first-page":"1201","DOI":"10.1016\/S0898-1221(04)90114-9","volume":"47","author":"QL Han","year":"2004","unstructured":"Q.L. Han, Robust stability for a class of linear systems with time-varying delay and nonlinear perturbations. Comput. Math. Appl. 47, 1201\u20131209 (2004)","journal-title":"Comput. Math. Appl."},{"issue":"25","key":"9943_CR7","first-page":"297","volume":"1","author":"GD Hu","year":"2007","unstructured":"G.D. Hu, A note on observer for one-sided Lipschitz nonlinear systems. IMA J. Math. Control 1(25), 297\u2013303 (2007)","journal-title":"IMA J. Math. Control"},{"key":"9943_CR8","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1007\/s00034-010-9159-7","volume":"29","author":"MG Hua","year":"2010","unstructured":"M.G. Hua, F.Q. Deng, X.Z. Liu, Y.J. Peng, Robust delay-dependent exponential stability of uncertain stochastic system with time-varying delay. Circ. Syst. Signal Process. 29, 515\u2013526 (2010)","journal-title":"Circ. Syst. Signal Process."},{"key":"9943_CR9","doi-asserted-by":"crossref","first-page":"590","DOI":"10.1080\/07362994.2012.684321","volume":"30","author":"R Jeetendra","year":"2012","unstructured":"R. Jeetendra, J. Vernold Vivin, Delay range-dependent stability analysis for markovian jumping stochastic systems with nonlinear perturbations. Stoch. Anal. Appl. 30, 590\u2013604 (2012)","journal-title":"Stoch. Anal. Appl."},{"key":"9943_CR10","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1002\/rnc.1600","volume":"21","author":"OM Kwon","year":"2011","unstructured":"O.M. Kwon, Stability criteria for uncertain stochastic dynamic systems with time-varying delays. Int. J. Robust. Nonlinear Control 21, 338\u2013350 (2011)","journal-title":"Int. J. Robust. Nonlinear Control"},{"key":"9943_CR11","doi-asserted-by":"crossref","first-page":"498","DOI":"10.1016\/j.automatica.2008.08.006","volume":"45","author":"WQ Li","year":"2009","unstructured":"W.Q. Li, X.J. Xie, Inverse optimal stabilization for stochastic nonlinear systems whose linearizations are not stabilizable. Automatica 45, 498\u2013503 (2009)","journal-title":"Automatica"},{"issue":"3","key":"9943_CR12","doi-asserted-by":"crossref","first-page":"442","DOI":"10.1109\/9.486647","volume":"41","author":"XR Mao","year":"1996","unstructured":"X.R. Mao, Robustness of exponential stability of stochastic differential delay equations. IEEE Trans. Autom. Control 41(3), 442\u2013447 (1996)","journal-title":"IEEE Trans. Autom. Control"},{"key":"9943_CR13","volume-title":"Stochastic Differential Equations and Applications","author":"XR Mao","year":"1997","unstructured":"X.R. Mao, Stochastic Differential Equations and Applications (Horwood, Chichester, 1997)"},{"key":"9943_CR14","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1006\/jmaa.2001.7803","volume":"268","author":"XR Mao","year":"2002","unstructured":"X.R. Mao, A note on the LaSalle-type theorems for stochastic differential delay equations. J. Math. Anal. Appl. 268, 125\u2013142 (2002)","journal-title":"J. Math. Anal. Appl."},{"key":"9943_CR15","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/S0304-4149(01)00126-0","volume":"97","author":"XR Mao","year":"2002","unstructured":"X.R. Mao, G. Marion, E. Renshaw, Environmental Brownian noise suppresses explosion in population dynamics. Stoch. Process. Appl. 97, 95\u2013110 (2002)","journal-title":"Stoch. Process. Appl."},{"key":"9943_CR16","doi-asserted-by":"crossref","first-page":"873","DOI":"10.1016\/j.automatica.2004.11.035","volume":"41","author":"YG Niu","year":"2005","unstructured":"Y.G. Niu, D.W.C. Ho, J. Lam, Robust integral sliding mode control for uncertain stochastic systems with time-varying delay. Automatica 41, 873\u2013880 (2005)","journal-title":"Automatica"},{"key":"9943_CR17","doi-asserted-by":"crossref","first-page":"781","DOI":"10.1016\/j.sysconle.2006.03.007","volume":"55","author":"YG Niu","year":"2006","unstructured":"Y.G. Niu, D.W.C. Ho, Robust observer design for It $$\\hat{o}$$ o ^ stochastic time-delay systems via sliding mode control. Syst. Control Lett. 55, 781\u2013793 (2006)","journal-title":"Syst. Control Lett."},{"key":"9943_CR18","doi-asserted-by":"crossref","first-page":"2174","DOI":"10.1016\/j.jfranklin.2011.06.010","volume":"348","author":"C Wang","year":"2011","unstructured":"C. Wang, Y. Shen, Delay-dependent non-fragile robust stabilization and $$H_{\\infty }$$ H \u221e control of uncertain stochastic systems with time-varying delay and nonlinearity. J. Frankl. Inst. 348, 2174\u20132190 (2011)","journal-title":"J. Frankl. Inst."},{"issue":"2","key":"9943_CR19","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1007\/s00034-012-9485-z","volume":"32","author":"YT Wang","year":"2013","unstructured":"Y.T. Wang, X. Zhang, Y.M. Hu, Robust $$H_{\\infty }$$ H \u221e control for a class of uncertain neutral stochastic systems with mixed delays: a CCL approach. Circ. Syst. Signal Process. 32(2), 631\u2013646 (2013)","journal-title":"Circ. Syst. Signal Process."},{"issue":"5","key":"9943_CR20","doi-asserted-by":"crossref","first-page":"1217","DOI":"10.1007\/s00521-012-1034-y","volume":"23","author":"YT Wang","year":"2013","unstructured":"Y.T. Wang, A.H. Yu, X. Zhang, Robust stability of stochastic genetic regulatory networks with time-varying delays: a delay fractioning approach. Neural Comput. Appl. 23(5), 1217\u20131227 (2013)","journal-title":"Neural Comput. Appl."},{"key":"9943_CR21","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1016\/j.sysconle.2007.03.009","volume":"56","author":"GL Wei","year":"2007","unstructured":"G.L. Wei, Z.D. Wang, H.S. Shu, J.A. Fang, Delay-dependent stabilization of stochastic interval delay systems with nonlinear disturbances. Syst. Control Lett. 56, 623\u2013633 (2007)","journal-title":"Syst. Control Lett."},{"key":"9943_CR22","doi-asserted-by":"crossref","first-page":"1435","DOI":"10.1016\/j.automatica.2004.03.004","volume":"40","author":"M Wu","year":"2004","unstructured":"M. Wu, Y. He, J.H. She, G.P. Liu, Delay-dependent criteria for robust stability of time-varying delay systems. Automatica 40, 1435\u20131439 (2004)","journal-title":"Automatica"},{"key":"9943_CR23","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/j.sysconle.2003.08.004","volume":"51","author":"SY Xu","year":"2004","unstructured":"S.Y. Xu, J. Lam, T.W. Chen, Robust $$H_{\\infty }$$ H \u221e control for uncertain discrete stochastic time-delay systems. Syst. Control Lett. 51, 203\u2013215 (2004)","journal-title":"Syst. Control Lett."},{"issue":"26","key":"9943_CR24","first-page":"299","volume":"1","author":"MY Xu","year":"2009","unstructured":"M.Y. Xu, G.D. Hu, Y.B. Zhao, Reduced-order observer design for one-sided Lipschitz non-linear systems. IMA J. Math. Control 1(26), 299\u2013307 (2009)","journal-title":"IMA J. Math. Control"},{"key":"9943_CR25","volume-title":"S-Procedure in Nonlinear Theory","author":"VA Yakubovich","year":"1997","unstructured":"V.A. Yakubovich, S-Procedure in Nonlinear Theory (Vestnik Leningradskogo Universiteta, Ser. Matematika, 1997)"},{"key":"9943_CR26","doi-asserted-by":"crossref","first-page":"676","DOI":"10.1016\/j.jfranklin.2009.04.001","volume":"346","author":"JH Zhang","year":"2009","unstructured":"J.H. Zhang, P. Shi, J.Q. Qiu, Non-fragile guaranteed cost control for uncertain stochastic nonlinear time-delay systems. J. Frankl. Inst. 346, 676\u2013690 (2009)","journal-title":"J. Frankl. Inst."},{"key":"9943_CR27","doi-asserted-by":"crossref","first-page":"3187","DOI":"10.1016\/j.chaos.2009.04.049","volume":"42","author":"JH Zhang","year":"2009","unstructured":"J.H. Zhang, P. Shi, H.J. Yang, Non-fragile robust stabilization and $$H_{\\infty }$$ H \u221e control for uncertain stochastic nonlinear time-delay systems. Chaos Solitons Fractals 42, 3187\u20133196 (2009)","journal-title":"Chaos Solitons Fractals"},{"key":"9943_CR28","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1016\/j.cam.2009.12.013","volume":"234","author":"W Zhang","year":"2010","unstructured":"W. Zhang, X.S. Cai, Z.Z. Han, Robust stability criteria for systems with interval time-varying delay and nonlinear perturbations. J. Comput. Appl. Math. 234, 174\u2013180 (2010)","journal-title":"J. Comput. Appl. Math."},{"key":"9943_CR29","doi-asserted-by":"crossref","first-page":"1316","DOI":"10.1109\/TNNLS.2013.2257842","volume":"24","author":"WB Zhang","year":"2013","unstructured":"W.B. Zhang, Y. Tang, Q.Y. Miao, W. Du, Exponential synchronization of coupled switched neural networks with mode-dependent impulsive effects. IEEE Trans. Neural Netw. Learn. Syst. 24, 1316\u20131326 (2013)","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"9943_CR30","doi-asserted-by":"crossref","unstructured":"W.B. Zhang, Y. Tang, X.T. Wu, J.A. Fang, Synchronization of nonlinear dynamical networks with heterogeneous impulses, IEEE Trans. Circ. Syst. I Reg. Papers (2013). doi: 10.1109\/TCSI.2013.2286027","DOI":"10.1109\/TCSI.2013.2286027"},{"key":"9943_CR31","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1016\/j.sysconle.2009.11.009","volume":"59","author":"YB Zhao","year":"2010","unstructured":"Y.B. Zhao, J. Tao, N.Z. Shi, A note on observer design for one-sided Lipschitz nonlinear systems. Syst. Control Lett. 59, 66\u201371 (2010)","journal-title":"Syst. Control Lett."},{"key":"9943_CR32","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1080\/00207720903513327","volume":"42","author":"Q Zhou","year":"2011","unstructured":"Q. Zhou, S.Y. Xu, B. Chen, Y.M. Chu, $$H_{\\infty }$$ H \u221e filtering for stochastic systems with time-varying delay. Int. J. Syst. Sci. 42, 235\u2013244 (2011)","journal-title":"Int. J. Syst. Sci."},{"key":"9943_CR33","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1049\/ip-cta:20045258","volume":"153","author":"Z Zuo","year":"2006","unstructured":"Z. Zuo, Y. Wang, New stability criterion for a class of linear systems with time-varying delay and nonlinear perturbations. IEE P Cont. Theory Appl. 153, 623\u2013626 (2006)","journal-title":"IEE P Cont. Theory Appl."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-014-9943-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-014-9943-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-014-9943-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,22]],"date-time":"2019-05-22T15:01:47Z","timestamp":1558537307000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-014-9943-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1,21]]},"references-count":33,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2015,8]]}},"alternative-id":["9943"],"URL":"https:\/\/doi.org\/10.1007\/s00034-014-9943-x","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1,21]]}}}