Delay-dependent robust stability analysis for neutral systems with discrete and distributed delays

This paper addresses the robust stability analysis of uncertain neutral systems with discrete and distributed delays. An innovative approach is developed for the derivation of delay-dependent stability criteria. Like other methods, the approach reported here also employes the technique of linear matrix inequalities. However, unlike the existing methods that are popularly used in recent publications, our approach employes neither free weighing matrices nor model transformation, and is thus much simpler.With the proposed approach, delay-dependent robust stability criteria are derived for the systems under consideration, leading to signi.cant improvement in the allowable delay bound. Numerical simulations are given to demonstrate the effectiveness of the proposed approach.

[1]  Jinhua She,et al.  New delay-dependent stability criteria and stabilizing method for neutral systems , 2004, IEEE Transactions on Automatic Control.

[2]  Wei Xing Zheng,et al.  Delay-dependent robust stabilization for uncertain neutral systems with distributed delays , 2007, Autom..

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

[4]  Shengyuan Xu,et al.  Further results on delay‐dependent robust stability conditions of uncertain neutral systems , 2005 .

[5]  Shengyuan Xu,et al.  Technical communique: New results on delay-dependent robust H∞ control for systems with time-varying delays , 2006 .

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

[7]  J. Chou,et al.  Criteria for asymptotic stability of a class of neutral systems via a LMI approach , 2001 .

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

[9]  Qing-Long Han.  A descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays , 2004, Autom..

[10]  Min Wu,et al.  Augmented Lyapunov functional and delay‐dependent stability criteria for neutral systems , 2005 .

[11]  Emilia Fridman,et al.  A descriptor system approach to H∞ control of linear time-delay systems , 2002, IEEE Trans. Autom. Control..

[12]  M. Parlakçi.  Robust stability of uncertain time-varying state-delayed systems , 2006 .

[13]  M. Parlakçi.  Improved robust stability criteria and design of robust stabilizing controller for uncertain linear time‐delay systems , 2006 .

[14]  Vladimir L. Kharitonov,et al.  Stability of Time-Delay Systems , 2003, Control Engineering.

[15]  D. Yue,et al.  Delay dependent stability of neutral systems with time delay: an LMI approach , 2003 .

[16]  Emilia Fridman,et al.  Robust H∞ control of distributed delay systems with application to combustion control , 2001, IEEE Trans. Autom. Control..

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

[18]  Dong Yue,et al.  STATE FEEDBACK CONTROLLER DESIGN OF NETWORKED CONTROL SYSTEMS WITH PARAMETER UNCERTAINTY AND STATE‐DELAY , 2008 .

[19]  Paul M. Frank,et al.  Robust control of uncertain distributed delay systems with application to the stabilization of combustion in rocket motor chambers , 2002, Autom..

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

[21]  Keqin Gu,et al.  An improved stability criterion for systems with distributed delays , 2003 .

[22]  Ju-H. Park.  A new delay-dependent criterion for neural systems with multiple delays , 2001 .

[23]  Young Soo Moon,et al.  Delay-dependent robust stabilization of uncertain state-delayed systems , 2001 .