On delay-dependent robust stability of a class of uncertain mixed neutral and Lur'e dynamical systems with interval time-varying delays

Abstract This paper deals with the problem of a new delay-dependent robust stability criteria for a class of mixed neutral and Lur’e systems. The system has time-varying uncertainties, interval time-varying delays and sector-bounded nonlinearity. The proposed method is based on Lyapunov method, a delay-dependent criterion for asymptotic stability is established in terms of linear matrix inequality (LMI). Numerical examples show the effectiveness of the proposed method.

[1]  X. Ji,et al.  Stability analysis for a class of neutral systems with mixed delays and sector-bounded nonlinearity , 2008 .

[2]  PooGyeon Park,et al.  A delay-dependent stability criterion for systems with uncertain time-invariant delays , 1999, IEEE Trans. Autom. Control..

[3]  Jonathan R. Partington,et al.  H∞ and BIBO stabilization of delay systems of neutral type , 2004, Syst. Control. Lett..

[4]  Nian Xiaohong.  DELAY DEPENDENT CONDITIONS FOR ABSOLUTE STABILITY OF LURIE TYPE CONTROL SYSTEMS , 1999 .

[5]  Ju H. Park,et al.  Augmented Lyapunov functional approach to stability of uncertain neutral systems with time-varying delays , 2009, Appl. Math. Comput..

[6]  Neil Munro,et al.  A note on absolute stability of uncertain systems , 2001, Autom..

[7]  Wu Min.  Delay-dependent Conditions for Absolute Stability of Lurie Control Systems with Time-varying Delay , 2005 .

[8]  Ju H. Park,et al.  A note on stability of neutral delay-differential systems , 1999 .

[9]  E. Fridman,et al.  H∞-control of linear state-delay descriptor systems: an LMI approach , 2002 .

[10]  Jiuwen Cao,et al.  New delay-dependent condition for absolute stability of Lurie control systems with multiple time-delays and nonlinearities , 2007, Appl. Math. Comput..

[11]  Shengyuan Xu,et al.  Improved delay-dependent stability criteria for time-delay systems , 2005, IEEE Transactions on Automatic Control.

[12]  Fernando de Oliveira Souza,et al.  Further Results on Master-Slave Synchronization of General Lur'e Systems with Time-Varying Delay , 2008, Int. J. Bifurc. Chaos.

[13]  Guo-Ping Liu,et al.  Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays , 2004, Syst. Control. Lett..

[14]  Qing-Long Han,et al.  On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty , 2004, Autom..

[15]  J. Hale.  Theory of Functional Differential Equations , 1977 .

[16]  Ligang Wu,et al.  Observer-based sliding mode control for a class of uncertain nonlinear neutral delay systems , 2008, J. Frankl. Inst..

[17]  Qing-Long Han,et al.  A new delay-dependent absolute stability criterion for a class of nonlinear neutral systems , 2008, Autom..

[18]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[19]  C. Peng,et al.  Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay , 2008 .

[20]  Shouming Zhong,et al.  Global stability analysis for a class of neural networks with varying delays and control input , 2007, Appl. Math. Comput..

[21]  C. Lien,et al.  Stability criteria for uncertain neutral systems with interval time-varying delays , 2008 .

[22]  Emilia Fridman,et al.  An improved stabilization method for linear time-delay systems , 2002, IEEE Trans. Autom. Control..

[23]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[24]  Fernando de Oliveira Souza,et al.  Improved robust ℋ ∞ control for neutral systems via discretised Lyapunov-Krasovskii functional , 2008, Int. J. Control.

[25]  Shouming Zhong,et al.  Delay-dependent condition for absolute stability of Lurie control systems with multiple time delays and nonlinearities , 2008 .

[26]  Ju H. Park,et al.  Novel robust stability criterion for a class of neutral systems with mixed delays and nonlinear perturbations , 2005, Appl. Math. Comput..

[27]  Fernando de Oliveira Souza,et al.  Robust Hinfinity Control for Master-Slave Synchronization of Lur'e Systems with Time-Delay Feedback Control , 2008, Int. J. Bifurc. Chaos.

[28]  Ju H. Park,et al.  On delay-dependent robust stability of uncertain neutral systems with interval time-varying delays , 2008, Appl. Math. Comput..