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变时滞不确定Lurie系统的时滞分布依赖鲁棒稳定性分析

变时滞不确定Lurie系统的时滞分布依赖鲁棒稳定性分析. 自动化学报, 2012, 38(7): 1100-1106. doi: 10.3724/SP.J.1004.2012.01100
引用本文: 变时滞不确定Lurie系统的时滞分布依赖鲁棒稳定性分析. 自动化学报, 2012, 38(7): 1100-1106. doi: 10.3724/SP.J.1004.2012.01100
MUKHIJA Pankaj, KAR Indra Narayan, BHATT Rajendra Kumar Purushottam. Delay-distribution-dependent Robust Stability Analysis of Uncertain Lurie Systems with Time-varying Delay. ACTA AUTOMATICA SINICA, 2012, 38(7): 1100-1106. doi: 10.3724/SP.J.1004.2012.01100
Citation: MUKHIJA Pankaj, KAR Indra Narayan, BHATT Rajendra Kumar Purushottam. Delay-distribution-dependent Robust Stability Analysis of Uncertain Lurie Systems with Time-varying Delay. ACTA AUTOMATICA SINICA, 2012, 38(7): 1100-1106. doi: 10.3724/SP.J.1004.2012.01100

变时滞不确定Lurie系统的时滞分布依赖鲁棒稳定性分析

doi: 10.3724/SP.J.1004.2012.01100

Delay-distribution-dependent Robust Stability Analysis of Uncertain Lurie Systems with Time-varying Delay

  • [1] Popov V M. Absolute stability of nonlinear systems of automatic control. Automation and Remote Control, 1962, 22(8): 857-875[2] Park P. A revisited Popov criterion for nonlinear Lur'e systems with sector-restrictions. International Journal of Control, 1997, 68(3): 461-469[3] Liao X, Yu P. Absolute Stability of Nonlinear Control Systems (Second edition). Dordrecht: Springer, 2008[4] Bliman P A. Lyapunov-Krasovskii functionals and frequency domain: delay-independent absolute stability criteria for delay systems. International Journal of Robust and Nonlinear Control, 2001, 11(8): 771-788[5] He Y, Wu M. Absolute stability for multiple delay general Lur'e control systems with multiple nonlinearities. Journal of Computational and Applied Mathematics, 2003, 159(2): 241-248[6] Yu L, Han Q L, Yu S, Gao J. Delay-dependent conditions for robust absolute stability of uncertain time-delay systems. In: Proceedings of the 42nd IEEE Conference on Decision and Control. Hawaii, USA: IEEE, 2003. 6033-6037[7] Han Q L. Absolute stability of time-delay systems with sector-bounded nonlinearity. Automatica, 2005, 41(12): 2171-2176[8] He Y, Wu M, She J H, Liu G P. Robust stability for delay Lur'e control systems with multiple nonlinearities. Journal of Computational and Applied Mathematics, 2005, 176(2): 371-380[9] Lee S M, Park J H. Delay-dependent criteria for absolute stability of uncertain time-delayed Lur'e dynamical systems. Journal of the Franklin Institute, 2010, 347(1): 146-153[10] Cao J, Zhong S, Hu Y. Delay-dependent condition for absolute stability of Lurie control systems with multiple time delays and nonlinearities. Journal of Mathematical Analysis and Applications, 2008, 338(1): 497-504[11] Han Q L. A new delay-dependent absolute stability criterion for a class of nonlinear neutral systems. Automatica, 2008, 44(1): 272-277[12] Liu X, Wang J, Duan Z, Huang L. New absolute stability criteria for time-delay Lur'e systems with sector-bounded nonlinearity. International Journal of Robust and Nonlinear Control, 2010, 20(6): 659-672[13] Han Q L, Yue D. Absolute stability of Lur'e systems with time-varying delay. IET Control Theory and Applications, 2007, 1(3): 854-859[14] Wu M, Feng Z Y, He Y, She J H. Improved delay-dependent absolute stability and robust stability for a class of nonlinear systems with a time varying delay. International Journal of Robust and Nonlinear Control, 2010, 20(6): 694-702[15] Gao J F, Pan H P, Ji X F. A new delay-dependent absolute stability criterion for Lurie systems with time-varying delay. Acta Automatica Sinica, 2010, 36(6): 845-850[16] Qiu F, Cui B, Ji Y. Delay-dividing approach for absolute stability of Lurie control system with mixed delays. Nonlinear Analysis: Real World Applications, 2010, 11(4): 3110-3120[17] Yue D, Tian E, Wang Z, Lam J. Stabilization of systems with probabilistic interval input delays and its applications to networked control systems. IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans, 2009, 39(4): 939-945[18] Zeng H B, He Y, Wu M, Xiao S P. Absolute stability and stabilization for Lurie networked control systems. International Journal of Robust and Nonlinear Control, 2011, 21(14): 1667-1676[19] Mao X. Exponential stability of stochastic delay interval systems with Markovian switching. IEEE Transactions on Automatic Control, 2002, 47(10): 1604-1612[20] Xu S, Chen T. Robust H∞ control for uncertain stochastic systems with state delay. IEEE Transactions on Automatic Control, 2002, 47(12): 2089-2094[21] Boyd S, Ghaouri L E, Feron E, Balakrishnan V. Linear Matrix Inequalities in System and Control Theory. Philadelphia: SIAM, 1994[22] Petersen I R. A stabilization algorithm for a class of uncertain linear systems. Systems and Control Letters, 1987, 8(4): 351-357[23] Khalil H K. Nonlinear Systems. New Jersey: Prentice-Hall, 1996[24] Hao F, Zhao X. Absolute stability of Lurie networked control systems. International Journal of Robust and Nonlinear Control, 2010, 20(12): 1326-1337
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出版历程
  • 收稿日期:  2011-04-04
  • 修回日期:  2011-06-22
  • 刊出日期:  2012-07-20

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