Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays

The problem of robust stability for a class of neutral control systems with mixed delays is investigated. Based on Lyapunov stable theory, by constructing a new Lyapunov-Krasovskii function, some new stable criteria are obtained. These criteria are formulated in the forms of linear matrix inequalities (LMIs). Compared with some previous publications, our results are less conservative. Simulation examples are presented to illustrate the improvement of the main results.

[1]  Ju H. Park,et al.  On new stability criterion for delay-differential systems of neutral type , 2005, Appl. Math. Comput..

[2]  Jinde Cao,et al.  Delay-dependent robust stability of uncertain nonlinear systems with time delay , 2004, Appl. Math. Comput..

[3]  Lianglin Xiong,et al.  Novel delay-dependent robust stability criteria for uncertain neutral systems with time-varying delay , 2009 .

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

[5]  Ju H. Park,et al.  LMI optimization approach on stability for delayed neural networks of neutral-type , 2008, Appl. Math. Comput..

[6]  Emilia Fridman,et al.  New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems , 2001, Syst. Control. Lett..

[7]  Ming Li,et al.  A delay-dependent stability criterion for linear neutral delay systems , 2009, J. Frankl. Inst..

[8]  K. Gu.  A further refinement of discretized Lyapunov functional method for the stability of time-delay systems , 2001 .

[9]  De-Yin Chen.  Delay-dependent Stability Criteria for a Class of Uncertain Neutral Systems: Delay-dependent Stability Criteria for a Class of Uncertain Neutral Systems , 2009 .

[10]  B. Wang,et al.  New stability analysis for uncertain neutral system with time-varying delay , 2008, Appl. Math. Comput..

[11]  Xin-Jian Zhu,et al.  Stability analysis of neutral systems with distributed delays , 2008, Autom..

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

[13]  Shouming Zhong,et al.  Stability of neutral type descriptor system with mixed delays , 2007 .

[14]  C. Lien,et al.  Stability Conditions for a Class of Neutral Systems with Multiple Time Delays , 2000 .

[15]  J. Yan.  Robust stability analysis of uncertain time delay systems with delay-dependence , 2001 .

[16]  P. Shi,et al.  Robust stability criteria for uncertain neutral system with time delay and nonlinear uncertainties , 2008 .

[17]  T. Mori.  Criteria for asymptotic stability of linear time-delay systems , 1985, IEEE Transactions on Automatic Control.

[18]  Shouming Zhong,et al.  Novel robust stability criteria of uncertain neutral systems with discrete and distributed delays , 2009 .

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

[20]  Lianglin Xiong,et al.  On robust stability of uncertain neutral systems with multiple delays , 2009 .

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

[22]  Qiang Zhang,et al.  Generalized LMI-based approach to the global asymptotic stability of discrete-time delayed recurrent neural networks , 2008 .

[23]  Lihua Xie,et al.  Output feedback H∞ control of systems with parameter uncertainty , 1996 .

[24]  Maohui Xia,et al.  LMI CONDITIONS FOR GLOBAL ASYMPTOTIC STABILITY OF NEURAL NETWORKS WITH DISCRETE AND DISTRIBUTED DELAYS , 2008 .

[25]  Ju H. Park,et al.  On stability criteria for uncertain delay-differential systems of neutral type with time-varying delays , 2008, Appl. Math. Comput..

[26]  Qing-Long Han,et al.  Robust stability of uncertain delay-differential systems of neutral type , 2002, Autom..

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

[28]  Xin-Jian Zhu,et al.  Stability analysis of neutral systems with mixed delays , 2008, Autom..

[29]  De-Yin Chen,et al.  Delay-dependent Stability Criteria for a Class of Uncertain Neutral Systems , 2008 .

[30]  Jenq-Der Chen,et al.  Delay-dependent stability criterion for neutral time-delay systems via linear matrix inequality approach , 2002 .

[31]  Qing-Long Han,et al.  On stability of linear neutral systems with mixed time delays: A discretized Lyapunov functional approach , 2005, Autom..

[32]  El-Kébir Boukas,et al.  Free-Weighting Matrices Delay-Dependent Stabilization for Systems with Time-Varying Delays , 2007 .

[33]  C. Lien,et al.  Discrete-Delay-Independent and Discrete-Delay-Dependent Criteria for a Class of Neutral Systems , 2003 .

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

[35]  J. H. Park,et al.  Asymptotic Stability of Neutral Systems with Multiple Delays , 1999 .