{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,30]],"date-time":"2025-10-30T17:08:29Z","timestamp":1761844109862},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2011,11,1]],"date-time":"2011-11-01T00:00:00Z","timestamp":1320105600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Autom. Comput."],"published-print":{"date-parts":[[2011,11]]},"DOI":"10.1007\/s11633-011-0596-y","type":"journal-article","created":{"date-parts":[[2011,12,5]],"date-time":"2011-12-05T08:34:56Z","timestamp":1323074096000},"page":"391-402","source":"Crossref","is-referenced-by-count":4,"title":["Absolute stability of nonlinear systems with two additive time-varying delay components"],"prefix":"10.1007","volume":"8","author":[{"given":"Bassem Ben","family":"Hamed","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohamed","family":"Chaabane","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Walid","family":"Kacem","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,12,6]]},"reference":[{"key":"596_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-4342-7","volume-title":"Introduction to Functional Differential Equation","author":"J. K. Hale","year":"1993","unstructured":"J. K. Hale, S. M. V. Lunel. Introduction to Functional Differential Equation, Berlin, Germany: Springer-Verlag, 1993."},{"key":"596_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0039-0","volume-title":"Stability of Time-delay Systems","author":"K. Gu","year":"2003","unstructured":"K. Gu, V. L. Kharitonov, J. Chen. Stability of Time-delay Systems, Boston, Massachusetts, USA: Birkhauser, 2003."},{"key":"596_CR3","volume-title":"Absolute Stability of Regulator Systems","author":"M. A. Aizerman","year":"1964","unstructured":"M. A. Aizerman, F. R. Gantmacher. Absolute Stability of Regulator Systems, San Fransisco, USA: Holden-Day, 1964."},{"key":"596_CR4","volume-title":"Nonlinear Systems","author":"H. K. Khalil","year":"1992","unstructured":"H. K. Khalil. Nonlinear Systems, 2nd ed., New York, USA: Macmillan Publishing Company, 1992.","edition":"2nd ed."},{"key":"596_CR5","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-017-0608-7","volume-title":"Absolute Stability of Nonlinear Control Systems","author":"X. X. Liao","year":"1993","unstructured":"X. X. Liao. Absolute Stability of Nonlinear Control Systems, Beijing, PRC: Sciences Press, 1993."},{"key":"596_CR6","volume-title":"Some Nonlinear Problems in the Theory of Automatic Control","author":"A. I. Lure","year":"1957","unstructured":"A. I. Lure. Some Nonlinear Problems in the Theory of Automatic Control, London, USA: H. M. Stationery Office, 1957."},{"key":"596_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-65654-5","volume-title":"Hyperstability of Control Systems","author":"V. M. Popov","year":"1973","unstructured":"V. M. Popov. Hyperstability of Control Systems, NewYork, USA: Springer, 1973."},{"key":"596_CR8","doi-asserted-by":"crossref","DOI":"10.1142\/5442","volume-title":"Stability of Stationnary Sets in Control Systems with Discontinuous Nonlinerities","author":"V. A. Yakubovich","year":"2004","unstructured":"V. A. Yakubovich, G. A. Leonov, A. K. Gelig. Stability of Stationnary Sets in Control Systems with Discontinuous Nonlinerities, Singapore: World Scientific, 2004."},{"issue":"11","key":"596_CR9","doi-asserted-by":"crossref","first-page":"2015","DOI":"10.1016\/S0005-1098(02)00092-4","volume":"38","author":"P. A. Bliman","year":"2002","unstructured":"P. A. Bliman. Absolute stability criteria with perscribed decay rate for finite-dimensional and delay systems. Automatica, vol. 38, no. 11, pp. 2015\u20132019, 2002.","journal-title":"Automatica"},{"issue":"2","key":"596_CR10","doi-asserted-by":"crossref","first-page":"596","DOI":"10.1006\/jmaa.2001.7433","volume":"259","author":"Z. X. Gan","year":"2001","unstructured":"Z. X. Gan, W. G. Ge. Lyapunov functional for multiple delay general Lur\u2019e control systems with multiple nonlinearities. Journal of Mathematical Analysis & Applications, vol. 259, no. 2, pp. 596\u2013608, 2001.","journal-title":"Journal of Mathematical Analysis & Applications"},{"issue":"1","key":"596_CR11","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1016\/S0893-9659(02)00153-2","volume":"16","author":"Z. X. Gan","year":"2003","unstructured":"Z. X. Gan, J. Q. Han. Lyapunov function of general Lurie systems with multiple nonlinearities. Applied Mathematics Letters, vol. 16, no. 1, pp. 119\u2013126, 2003.","journal-title":"Applied Mathematics Letters"},{"issue":"2","key":"596_CR12","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1016\/j.cam.2004.07.025","volume":"176","author":"Y. He","year":"2005","unstructured":"Y. He, M. Wu, J. H. She, G. P. Liu. Robust stability for delay Lur\u2019e control systems with multiple nonlinearities. Journal of Computational & AppliedMathematics, vol. 176, no. 2, pp. 371\u2013380, 2005.","journal-title":"Journal of Computational & AppliedMathematics"},{"issue":"7","key":"596_CR13","first-page":"849","volume":"23","author":"V. M. Popov","year":"1962","unstructured":"V. M. Popov, A. Halanay. About stability of nonlinear controlled systems with delay. Automation & Remote Control, vol. 23, no. 7, pp. 849\u2013851, 1962.","journal-title":"Automation & Remote Control"},{"issue":"2","key":"596_CR14","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/0022-0396(77)90190-5","volume":"26","author":"A. Somolines","year":"1977","unstructured":"A. Somolines. Stability of Lurie type functional equations. Journal of Differential Equations, vol. 26, no. 2, pp. 191\u2013199, 1977.","journal-title":"Journal of Differential Equations"},{"issue":"3","key":"596_CR15","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1111\/j.1934-6093.2007.tb00423.x","volume":"9","author":"B. B. Hamed","year":"2007","unstructured":"B. B. Hamed, A. B. Abdallah, M. Chaabane. Absolute stability and application to design of observer-based controller for nonlinear time-delay systems. Asian Journal of Control, vol. 9, no. 3, pp. 362\u2013371, 2007.","journal-title":"Asian Journal of Control"},{"issue":"12","key":"596_CR16","doi-asserted-by":"crossref","first-page":"2171","DOI":"10.1016\/j.automatica.2005.08.005","volume":"41","author":"Q. L. Han","year":"2005","unstructured":"Q. L. Han. Absolute stability of time-delay systems with sector-bounded nonlinearity. Automatica, vol. 41, no. 12, pp. 2171\u20132176, 2005.","journal-title":"Automatica"},{"key":"596_CR17","first-page":"6033","volume":"6","author":"L. Yu","year":"2003","unstructured":"L. Yu, Q. L. Han, S. M. Yu, J. F. Gao. Delay-dependent conditions for robust absolute stability of uncertain timedelay systems. In Proceedings of the 42nd IEEE Conference on Decision & Control, IEEE, vol. 6, pp. 6033\u20136037, 2003.","journal-title":"Proceedings of the 42nd IEEE Conference on Decision & Control"},{"issue":"8","key":"596_CR18","doi-asserted-by":"crossref","first-page":"1405","DOI":"10.1016\/j.automatica.2005.03.009","volume":"41","author":"X. M. Zhang","year":"2005","unstructured":"X. M. Zhang, M. Wu, J. H. She, Y. He. Delay-dependent stabilization of linear systems with time-varying state and input delays. Automatica, vol. 41, no. 8, pp. 1405\u20131412, 2005.","journal-title":"Automatica"},{"issue":"1","key":"596_CR19","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1007\/s11633-007-0095-3","volume":"4","author":"A. G. Wu","year":"2007","unstructured":"A. G. Wu, G. R. Duan. On delay-independent stability criteria for linear time-delay systems. International Journal of Automation & Computing, vol. 4, no. 1, pp. 95\u2013100, 2007.","journal-title":"International Journal of Automation & Computing"},{"issue":"2","key":"596_CR20","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1007\/s11633-007-0203-4","volume":"4","author":"Q. W. Deng","year":"2007","unstructured":"Q. W. Deng, Q. Wei, Z. X. Li. Analysis of absolute stability for time-delay teleoperation systems. International Journal of Automation & Computing, vol. 4, no. 2, pp. 203\u2013207, 2007.","journal-title":"International Journal of Automation & Computing"},{"issue":"10","key":"596_CR21","doi-asserted-by":"crossref","first-page":"3740","DOI":"10.1016\/j.amc.2009.11.014","volume":"215","author":"R. Dey","year":"2010","unstructured":"R. Dey, G. Ray, S. Ghosh, A. Rakshit. Stability analysis for continuous system with additive time-varying delays: A less conservative result. Applied Mathematics & Computation, vol. 215, no. 10, pp. 3740\u20133745, 2010.","journal-title":"Applied Mathematics & Computation"},{"issue":"1","key":"596_CR22","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/j.sysconle.2006.07.005","volume":"56","author":"J. Lam","year":"2007","unstructured":"J. Lam, H. J. Gao, C. H. Wang. Stability analysis for continuous systems with two additive time-varying delay components. Systems & Control Letters, vol. 56, no. 1, pp. 16\u201324, 2007.","journal-title":"Systems & Control Letters"},{"issue":"2","key":"596_CR23","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1007\/s11633-010-0219-z","volume":"7","author":"X. M. Tang","year":"2010","unstructured":"X. M. Tang, J. S. Yu. Stability analysis of discrete-time systems with additive time-varying delays. International Journal of Automation & Computing, vol. 7, no. 2, pp. 219\u2013223, 2010.","journal-title":"International Journal of Automation & Computing"},{"issue":"12","key":"596_CR24","doi-asserted-by":"crossref","first-page":"4345","DOI":"10.1016\/j.apm.2009.03.008","volume":"33","author":"H. X. Wu","year":"2009","unstructured":"H. X. Wu, X. F. Liao, W. Feng, S. T. Guo, W. Zhang. Robust stability analysis of uncertain systems with two additive time-varying delay components. Applied Mathematical Modelling, vol. 33, no. 12, pp. 4345\u20134353, 2009.","journal-title":"Applied Mathematical Modelling"},{"issue":"1","key":"596_CR25","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1016\/j.automatica.2007.04.020","volume":"44","author":"H. J. Gao","year":"2008","unstructured":"H. J. Gao, T. W. Chen, J. Lam. A new delay system approach to network-based control. Automatica, vol. 44, no. 1, pp. 39\u201352, 2008.","journal-title":"Automatica"},{"issue":"8","key":"596_CR26","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, vol. 40, no. 8, pp. 1435\u20131439, 2004.","journal-title":"Automatica"},{"issue":"7","key":"596_CR27","doi-asserted-by":"crossref","first-page":"1192","DOI":"10.1109\/TAC.2004.831109","volume":"49","author":"X. J. Jing","year":"2004","unstructured":"X. J. Jing, D. L. Tan, Y. C. Wang. An LMI approach to stability of systems with severe time-delay. IEEE Transactions on Automatic Control, vol. 49, no. 7, pp. 1192\u20131195, 2004.","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"1","key":"596_CR28","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1080\/0020717021000049151","volume":"67","author":"E. Fridman","year":"2003","unstructured":"E. Fridman, U. Shaked. Delay-dependent stability and H \u221e control: Constant and time-varying delays. International Journal of Control, vol. 67, no. 1, pp. 48\u201360, 2003.","journal-title":"International Journal of Control"},{"key":"596_CR29","first-page":"3208","volume-title":"Proceedings of the 40th Conference on Decision & Control","author":"Y. S. Lee","year":"2001","unstructured":"Y. S. Lee, Y. S. Moon, W. H. Kwon, K. H. Lee. Delaydependent robust H \u221e control for uncertain systems with time-varying state-delay. In Proceedings of the 40th Conference on Decision & Control, IEEE, Orlando, USA, vol. 4, pp. 3208\u20133213, 2001."},{"issue":"5","key":"596_CR30","doi-asserted-by":"crossref","first-page":"789","DOI":"10.1109\/9.920802","volume":"46","author":"J. H. Kim","year":"2001","unstructured":"J. H. Kim. Delay and its time-derivate dependent robust stability of time-delayed linear systems with uncertainty. IEEE Transactions on Automatic Control, vol. 46, no. 5, pp. 789\u2013792, 2001.","journal-title":"IEEE Transactions on Automatic Control"}],"container-title":["International Journal of Automation and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11633-011-0596-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11633-011-0596-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11633-011-0596-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T18:46:40Z","timestamp":1559414800000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11633-011-0596-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,11]]},"references-count":30,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2011,11]]}},"alternative-id":["596"],"URL":"https:\/\/doi.org\/10.1007\/s11633-011-0596-y","relation":{},"ISSN":["1476-8186","1751-8520"],"issn-type":[{"value":"1476-8186","type":"print"},{"value":"1751-8520","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,11]]}}}