Extensively augmented Lyapunov functional approach for the stability of neutral time-delay systems

The problem of stability for linear time-delay systems of neutral type is taken into consideration. A new extensively augmented Lyapunov-Krasovskii functional is introduced and a sufficient delay-dependent stability criterion is derived in terms of linear matrix inequalities (LMIs). Utilisation of any model transformation method or any kind of bounding for the cross terms are avoided in the stability analysis. Moreover, in order to reduce the complexity of the solution of the LMI set, the proposed method does not also employ any free weighting matrix relaxation approach. Two numerical examples are illustrated to indicate the effectiveness of the proposed method.

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

[2]  Kolmanovskii,et al.  Introduction to the Theory and Applications of Functional Differential Equations , 1999 .

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

[4]  E. Fridman,et al.  Delay-dependent stability and H ∞ control: Constant and time-varying delays , 2003 .

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

[6]  Yuechao Wang,et al.  An LMI approach to stability of systems with severe time-delay , 2004, IEEE Transactions on Automatic Control.

[7]  Wook Hyun Kwon,et al.  Delay-dependent robust Hinfinity control for uncertain systems with a state-delay , 2004, Autom..

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

[9]  Jin-Hua She,et al.  New delay-dependent stability criteria and stabilizing method for neutral systems , 2004, IEEE Trans. Autom. Control..

[10]  Dong Yue,et al.  A delay-dependent stability criterion of neutral systems and its application to a partial element equivalent circuit model , 2004, Proceedings of the 2004 American Control Conference.

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

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

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

[14]  M. Parlakçi.  Robust stability of uncertain neutral systems: a novel augmented Lyapunov functional approach , 2007 .

[15]  Q. Han,et al.  Stability analysis and H/sub /spl infin// filtering for delay differential systems of neutral type , 2007 .

[16]  Lihua Xie,et al.  Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay , 2007, IEEE Transactions on Automatic Control.