New Stability Criteria for Linear Systems with Interval Time-varying State Delays

In the present paper, the problem of stability analysis for linear systems with interval time-varying delays is considered. By introducing a new Lyapunov-Krasovskii functional, new stability criteria are derived in terms of linear matrix inequalities (LMIs). Two numerical examples are given to show the superiority of the proposed method.

[1]  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).

[2]  Guoping Liu,et al.  Improved delay-range-dependent stability criteria for linear systems with time-varying delays , 2010, Autom..

[3]  Karolos M. Grigoriadis,et al.  A unified algebraic approach to linear control design , 1998 .

[4]  Lei Guo,et al.  A new criterion of delay-dependent stability for uncertain time-delay systems , 2007 .

[5]  Guang-Hong Yang,et al.  New stability criteria for systems with time-varying delay , 2008, 2008 Chinese Control and Decision Conference.

[6]  Jean-Pierre Richard,et al.  Time-delay systems: an overview of some recent advances and open problems , 2003, Autom..

[7]  Shengyuan Xu,et al.  A survey of linear matrix inequality techniques in stability analysis of delay systems , 2008, Int. J. Syst. Sci..

[8]  PooGyeon Park,et al.  Stability and robust stability for systems with a time-varying delay , 2007, Autom..

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

[10]  J. Aplevich,et al.  Lecture Notes in Control and Information Sciences , 1979 .

[11]  Hanyong Shao,et al.  New delay-dependent stability criteria for systems with interval delay , 2009, Autom..

[12]  M. Kowsalya,et al.  Voltage Stability Enhancement by Optimal Placement of UPFC , 2009 .

[13]  Mansour-Khalilian,et al.  Transient Stability Enhancement by DSSC with Fuzzy Supplementary Controller , 2010 .

[14]  Ju H. Park,et al.  On improved delay-dependent robust control for uncertain time-delay systems , 2004, IEEE Transactions on Automatic Control.

[15]  Duk-Sun Shim,et al.  Rapid Acquisition of CM and CL Code for GPS L2C Software Receivers , 2011 .

[16]  Xun-lin Zhu,et al.  Brief paper New stability criteria for continuous-time systems with interval time-varying delay , 2010 .

[17]  Subhransu Sekhar Dash,et al.  Stability Index Based Voltage Collapse Prediction and Contingency Analysis , 2009 .

[18]  W. Marsden I and J , 2012 .

[19]  Frédéric Gouaisbaut,et al.  Delay-dependent stability analysis of linear systems with time-varying delay , 2007, 2007 46th IEEE Conference on Decision and Control.

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

[21]  C. Christober Asir Rajan,et al.  Stability Analysis and Effect of CES on ANN Based AGC for Frequency Excursion , 2010 .