On stability for a class of neutral delay-differential systems

This paper deals with the stability problem for a class of linear neutral delay-differential system. The time-delay is assumed constant and known. Delays dependent criteria, which are written in the form of linear matrix inequalities, are derived. Numerical examples indicate significant improvements over some existing results.

[1]  Sangchul Won,et al.  Stability analysis for neutral delay-differential systems , 2000, J. Frankl. Inst..

[2]  Liming Li Stability of linear neutral delay-differential systems , 1988, Bulletin of the Australian Mathematical Society.

[3]  R. Brayton Bifurcation of periodic solutions in a nonlinear difference-differential equations of neutral type , 1966 .

[4]  Marshall Slemrod,et al.  Asymptotic stability criteria for linear systems of difference-differential equations of neutral type and their discrete analogues , 1972 .

[5]  M. Malek-Zavarei,et al.  Time-Delay Systems: Analysis, Optimization and Applications , 1987 .

[6]  K. Gu An integral inequality in the stability problem of time-delay systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

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

[8]  G. Hu,et al.  Some simple criteria for stability of neutral delay-differential systems , 1996 .

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

[10]  A. Hmamed,et al.  Stability conditions of delay-differential systems , 1986 .

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

[12]  John L. Casti,et al.  Introduction to the theory and application of differential equations with deviating arguments , 1973 .

[13]  Jack K. Hale,et al.  Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.