{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,17]],"date-time":"2025-09-17T15:24:38Z","timestamp":1758122678353},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2015,1,23]],"date-time":"2015-01-23T00:00:00Z","timestamp":1421971200000},"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\/s00034-014-9964-5","type":"journal-article","created":{"date-parts":[[2015,1,23]],"date-time":"2015-01-23T14:37:28Z","timestamp":1422023848000},"page":"2475-2498","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Robust Stabilization of Markovian Jump Linear Singular Systems with Wiener Process and Generally Incomplete Transition Rates"],"prefix":"10.1007","volume":"34","author":[{"given":"Guowei","family":"Yang","sequence":"first","affiliation":[]},{"given":"Yonggui","family":"Kao","sequence":"additional","affiliation":[]},{"given":"Lei","family":"Shi","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,1,23]]},"reference":[{"key":"9964_CR1","volume-title":"Stochastic Differential Equations: Theory and Applications","author":"L Arnold","year":"1974","unstructured":"L. Arnold, Stochastic Differential Equations: Theory and Applications (Wiley, New York, 1974)"},{"key":"9964_CR2","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1023\/A:1017515721760","volume":"209","author":"E Boukas","year":"2001","unstructured":"E. Boukas, Z. Liu, Robust stability and stability of Markov jump linear uncertain systems with mode-dependent time delays. J. Opt. Thoery Appl. 209, 587\u2013600 (2001)","journal-title":"J. Opt. Thoery Appl."},{"key":"9964_CR3","volume-title":"Control of Singular Systems with Random Abrupt Changes","author":"E Boukas","year":"2008","unstructured":"E. Boukas, Control of Singular Systems with Random Abrupt Changes (Springer, Berlin, 2008)"},{"key":"9964_CR4","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0002475","volume-title":"Singular Control Systems","author":"L Dai","year":"1989","unstructured":"L. Dai, Singular Control Systems (Springer, Berlin, 1989)"},{"issue":"2","key":"9964_CR5","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1109\/TCSI.2012.2215791","volume":"60","author":"B Du","year":"2013","unstructured":"B. Du, J. Lam, Y. Zou, Z. Shu, Stability and stabilization for Markovian jump time-delay systems with partially unknown transition rates. IEEE Trans. Circuit Syst. 60(2), 341\u2013351 (2013)","journal-title":"IEEE Trans. Circuit Syst."},{"issue":"9","key":"9964_CR6","doi-asserted-by":"crossref","first-page":"2826","DOI":"10.1016\/j.jfranklin.2013.06.013","volume":"350","author":"Y Guo","year":"2013","unstructured":"Y. Guo, Z. Wang, Stability of Markovian jump systems with generally uncertain transition rates. J. Franklin Inst. 350(9), 2826\u20132836 (2013)","journal-title":"J. Franklin Inst."},{"issue":"3","key":"9964_CR7","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1007\/s11063-012-9269-2","volume":"38","author":"Y Kao","year":"2013","unstructured":"Y. Kao, C. Wang, L. Zhang, Delay-dependent exponential stability of impulsive Markovian jumping cohen-grossberg neural networks with reaction-diffusion and mixed delays. Neural Process. Lett. 38(3), 321\u2013346 (2013)","journal-title":"Neural Process. Lett."},{"issue":"6","key":"9964_CR8","doi-asserted-by":"crossref","first-page":"1972","DOI":"10.1016\/j.jfranklin.2012.04.005","volume":"349","author":"Y Kao","year":"2012","unstructured":"Y. Kao, J. Guo, C. Wang, X. Sun, Delay-dependent robust exponential stability of Markovian jumping reaction-diffusion Cohen\u2013Grossberg neural networks with mixed delays. J. Franklin Inst. 349(6), 1972\u20131988 (2012)","journal-title":"J. Franklin Inst."},{"key":"9964_CR9","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/j.nahs.2013.12.004","volume":"13","author":"Y Kao","year":"2014","unstructured":"Y. Kao, C. Wang, H.R. Karimi, R. Bi, Global stability of coupled Markovian switching reaction-diffusion systems on networks. Nonlinear Anal. Hybrid Syst. 13, 61\u201373 (2014)","journal-title":"Nonlinear Anal. Hybrid Syst."},{"issue":"9","key":"9964_CR10","doi-asserted-by":"crossref","first-page":"2604","DOI":"10.1109\/TAC.2014.2313756","volume":"59","author":"Y Kao","year":"2014","unstructured":"Y. Kao, J. Xie, C.H. Wang, Stabilisation of singular Markovian jump systems with generally uncertain transition rates. IEEE Trans. Autom. Control 59(9), 2604\u20132610 (2014)","journal-title":"IEEE Trans. Autom. Control"},{"key":"9964_CR11","doi-asserted-by":"crossref","first-page":"2159","DOI":"10.1016\/j.automatica.2006.07.002","volume":"42","author":"M Karan","year":"2006","unstructured":"M. Karan, P. Shi, C. Kaya, Transition probability bounds for the stochastic stability robustness of continuous- and discrete-time Markovian jump linear systems. Automatica 42, 2159\u20132168 (2006)","journal-title":"Automatica"},{"issue":"9","key":"9964_CR12","doi-asserted-by":"crossref","first-page":"2145","DOI":"10.1016\/j.camwa.2008.03.041","volume":"56","author":"N Kumaresan","year":"2008","unstructured":"N. Kumaresan, P. Balasubramaniam, Optimal control for stochastic nonlinear singular system using neural networks. Comput. Math. Appl. 56(9), 2145\u20132154 (2008)","journal-title":"Comput. Math. Appl."},{"key":"9964_CR13","doi-asserted-by":"crossref","unstructured":"Y. Li, Y. Kao, Stability of stochastic reaction-diffusion systems with Markovian switching and impulsive perturbations. Math. Probl. Eng. 1\u201313 (2012). Article ID 429568","DOI":"10.1155\/2012\/429568"},{"issue":"3","key":"9964_CR14","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1016\/S0167-6911(97)00038-8","volume":"31","author":"C Lin","year":"1997","unstructured":"C. Lin, J. Wang, D. Wang, Robustness of uncertain descriptor systems. Syst. Control Lett. 31(3), 129\u2013138 (1997)","journal-title":"Syst. Control Lett."},{"issue":"2","key":"9964_CR15","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1016\/j.sigpro.2010.07.005","volume":"91","author":"J Lin","year":"2011","unstructured":"J. Lin, S. Fei, J. Shen, Delay-dependent $$H_{\\infty }$$ H \u221e filtering for discrete-time singular Markovian jump systems with time-varying delay and partially unknown transition probabilities. Signal Process. 91(2), 277\u2013289 (2011)","journal-title":"Signal Process."},{"issue":"3","key":"9964_CR16","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1049\/iet-cta:20080091","volume":"3","author":"S Ma","year":"2009","unstructured":"S. Ma, E. Boukas, Robust $$H_{\\infty }$$ H \u221e filtering for uncertain discrete Markov jump singular systems with mode-dependent time delay. IET Control Theory Appl. 3(3), 351\u2013361 (2009)","journal-title":"IET Control Theory Appl."},{"key":"9964_CR17","doi-asserted-by":"crossref","first-page":"1031","DOI":"10.1002\/rnc.1640","volume":"21","author":"S Ma","year":"2011","unstructured":"S. Ma, E. Boukas, Guaranteed cost control of uncertain discrete-time singular Markov jump systems with indefinite quadratic cost. Int. J. Robust Nonlinear 21, 1031\u20131045 (2011)","journal-title":"Int. J. Robust Nonlinear"},{"key":"9964_CR18","doi-asserted-by":"crossref","DOI":"10.1142\/p473","volume-title":"Stochastic Differential Equations with Markovian Switching","author":"X Mao","year":"2006","unstructured":"X. Mao, C. Yuan, Stochastic Differential Equations with Markovian Switching (Imperial College Press, London, 2006)"},{"key":"9964_CR19","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1016\/0167-6911(87)90102-2","volume":"8","author":"IR Peterson","year":"1987","unstructured":"I.R. Peterson, A stabilization algorithm for a class of uncertain linear systems. Syst. Control Lett. 8, 351\u2013357 (1987)","journal-title":"Syst. Control Lett."},{"key":"9964_CR20","doi-asserted-by":"crossref","unstructured":"J. Raouf, E.K. Boukas, Robust stabilization of Markovian jump linear singular systems with Wiener process. in Proceeding of the 2004 American Control Conference Boston, Massachusetts June 30\u2013July 2, 2004","DOI":"10.23919\/ACC.2004.1384397"},{"issue":"1","key":"9964_CR21","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1023\/A:1022683311870","volume":"95","author":"P Shi","year":"1997","unstructured":"P. Shi, E. Boukas, $$H_\\infty $$ H \u221e control for Markovian jumping linear systems with parametric uncertainty. J. Opt. Thoery Appl. 95(1), 75\u201399 (1997)","journal-title":"J. Opt. Thoery Appl."},{"issue":"8","key":"9964_CR22","doi-asserted-by":"crossref","first-page":"2069","DOI":"10.1016\/j.jfranklin.2013.05.011","volume":"350","author":"E Tian","year":"2013","unstructured":"E. Tian, D. Yue, G. Wei, Robust control for Markovian jump systems with partially known transition probabilities and nonlinearities. J. Franklin Inst. 350(8), 2069\u20132083 (2013)","journal-title":"J. Franklin Inst."},{"issue":"9","key":"9964_CR23","doi-asserted-by":"crossref","first-page":"5769","DOI":"10.1016\/j.amc.2011.11.087","volume":"218","author":"J Tian","year":"2012","unstructured":"J. Tian, Y. Li, J. Zhao, S. Zhong, Delay-dependent stochastic stability crieria for Markovian jumping neural networks with mode-dependent time-varying delays and partially known transition rates. Appl. Math. Comput. 218(9), 5769\u20135781 (2012)","journal-title":"Appl. Math. Comput."},{"key":"9964_CR24","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.nahs.2012.08.003","volume":"8","author":"J Wang","year":"2013","unstructured":"J. Wang, H. Wang, A. Xue, R. Lu, Delay-dependent $$H_{\\infty }$$ H \u221e control for singular Markovian jump systems with time delay. Nonlinear Anal. Hybrid Syst. 8, 1\u201312 (2013)","journal-title":"Nonlinear Anal. Hybrid Syst."},{"key":"9964_CR25","doi-asserted-by":"crossref","first-page":"2392","DOI":"10.1016\/j.sigpro.2013.02.014","volume":"93","author":"Y Wei","year":"2013","unstructured":"Y. Wei, J. Qiu, H.R. Karimi, M. Wang, A new design $$H_{\\infty }$$ H \u221e filtering for contrinuous-time Markovian jump systems with time-varying delay and partially accessible mode information. Signal Process. 93, 2392\u20132407 (2013)","journal-title":"Signal Process."},{"issue":"8","key":"9964_CR26","doi-asserted-by":"crossref","first-page":"1929","DOI":"10.1016\/j.automatica.2012.05.064","volume":"48","author":"L Wu","year":"2010","unstructured":"L. Wu, X. Su, P. Shi, Sliding mode control with bounded $$H_{2}$$ H 2 gain performance of Markovian jump singular time-delay systems. Automatica 48(8), 1929\u20131933 (2010)","journal-title":"Automatica"},{"issue":"9","key":"9964_CR27","doi-asserted-by":"crossref","first-page":"2889","DOI":"10.1016\/j.jfranklin.2012.08.012","volume":"349","author":"Z Wu","year":"2012","unstructured":"Z. Wu, J.H. Park, H. Su, J. Chu, Stochastic stability analysis for discrete-time singular Markov jump systems with time-varying delay and piecewise-constant transition probabilities. J. Franklin Inst. 349(9), 2889\u20132902 (2012)","journal-title":"J. Franklin Inst."},{"issue":"6","key":"9964_CR28","doi-asserted-by":"crossref","first-page":"1796","DOI":"10.1109\/TSMCB.2012.2230441","volume":"43","author":"Z Wu","year":"2013","unstructured":"Z. Wu, P. Shi, H. Su, J. Chu, Stochastic synchronization of Markovian jump neural networks with time-varying delay using sampled-data. IEEE Trans. Cybern. 43(6), 1796\u20131806 (2013)","journal-title":"IEEE Trans. Cybern."},{"issue":"1","key":"9964_CR29","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/j.automatica.2013.09.041","volume":"50","author":"Z Wu","year":"2014","unstructured":"Z. Wu, P. Shi, H. Shi, J. Chu, Asynchronous $$l_2-l_\\infty $$ l 2 - l \u221e filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities. Automatica 50(1), 180\u2013186 (2014)","journal-title":"Automatica"},{"issue":"6","key":"9964_CR30","doi-asserted-by":"crossref","first-page":"1504","DOI":"10.1016\/j.automatica.2009.02.008","volume":"45","author":"Y Xia","year":"2009","unstructured":"Y. Xia, E. Boukas, P. Shi, J. Zhang, Stability and stabilization of continuous-time singular hybrid systems. Automatica 45(6), 1504\u20131509 (2009)","journal-title":"Automatica"},{"issue":"6","key":"9964_CR31","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1080\/00207720802300347","volume":"45","author":"J Xiong","year":"2009","unstructured":"J. Xiong, J. Lam, Robust $$H_{2}$$ H 2 control of Markovian jump systems with uncertain switching probabilities. Int. J. Syst. Sci. 45(6), 255\u2013265 (2009)","journal-title":"Int. J. Syst. Sci."},{"issue":"6","key":"9964_CR32","doi-asserted-by":"crossref","first-page":"897","DOI":"10.1016\/j.automatica.2004.12.001","volume":"41","author":"J Xiong","year":"2005","unstructured":"J. Xiong, J. Lam, H. Gao, D.W.C. Ho, On robust stabilization of Markovian jump systems with uncertain switching probabilities. Automatica 41(6), 897\u2013903 (2005)","journal-title":"Automatica"},{"key":"9964_CR33","unstructured":"S. Xu, J. Lam, Robust Control and Filtering of Singular Systems (Springer, Berlin, 2006)"},{"key":"9964_CR34","unstructured":"D. Yang, Q. Zhang, B. Yao, Singular Systems (Science Press, Beijing, 2004)"},{"issue":"8","key":"9964_CR35","doi-asserted-by":"crossref","first-page":"2570","DOI":"10.1016\/j.automatica.2009.07.004","volume":"45","author":"L Zhang","year":"2009","unstructured":"L. Zhang, $$H_{\\infty }$$ H \u221e estimation for discrete-time piecewise homogeneous Markov jump linear systems. Automatica 45(8), 2570\u20132576 (2009)","journal-title":"Automatica"},{"issue":"8","key":"9964_CR36","doi-asserted-by":"crossref","first-page":"868","DOI":"10.1002\/rnc.1355","volume":"19","author":"L Zhang","year":"2009","unstructured":"L. Zhang, E. Boukas, Mode-dependent $$H_{\\infty }$$ H \u221e control for discrete-time Markovian jump linear systems with partly unknown transition probabilities. Int. J. Robust Nonlinear 19(8), 868\u2013883 (2009)","journal-title":"Int. J. Robust Nonlinear"},{"issue":"6","key":"9964_CR37","doi-asserted-by":"crossref","first-page":"1462","DOI":"10.1016\/j.automatica.2009.02.002","volume":"45","author":"L Zhang","year":"2009","unstructured":"L. Zhang, E. Boukas, Mode-dependent $$H_{\\infty }$$ H \u221e filtering for discrete-time Markovian jump linear systems with partly unknown transition probability. Automatica 45(6), 1462\u20131467 (2009)","journal-title":"Automatica"},{"issue":"2","key":"9964_CR38","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1016\/j.automatica.2008.08.010","volume":"45","author":"L Zhang","year":"2009","unstructured":"L. Zhang, E. Boukas, Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities. Automatica 45(2), 463\u2013468 (2009)","journal-title":"Automatica"},{"issue":"10","key":"9964_CR39","doi-asserted-by":"crossref","first-page":"2458","DOI":"10.1109\/TAC.2008.2007867","volume":"53","author":"L Zhang","year":"2008","unstructured":"L. Zhang, E. Boukas, J. Lam, Analysis and synthesis of Markov jump linear systems with time-varying delays and partially known transition probabilities. IEEE Trans. Autom. Control 53(10), 2458\u20132464 (2008)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"7","key":"9964_CR40","doi-asserted-by":"crossref","first-page":"1695","DOI":"10.1109\/TAC.2010.2046607","volume":"55","author":"L Zhang","year":"2010","unstructured":"L. Zhang, J. Lam, Necessary and sufficient conditions for analysis and synthesis of Markov jump linear systems with incomplete tran sition descriptions. IEEE Trans. Autom. Control 55(7), 1695\u20131701 (2010)","journal-title":"IEEE Trans. Autom. Control"}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-014-9964-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-014-9964-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-014-9964-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,19]],"date-time":"2019-08-19T22:03:03Z","timestamp":1566252183000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-014-9964-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1,23]]},"references-count":40,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2015,8]]}},"alternative-id":["9964"],"URL":"https:\/\/doi.org\/10.1007\/s00034-014-9964-5","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1,23]]}}}