Complete Stability Analysis of Linear Neutral Time-Delay Systems with Multiple Commensurate Delays
The aim of this study is to provide a practical paradigm to ascertain the complete characterization of stability intervals for neutral time-delay systems with multiple commensurate delays. Firstly, the matrix pencil test is used to determine the complete set of imaginary characteristic roots. Only at these frequencies points may the stability switching occur. Then compute the principle delay value τ for each zero-crossing frequency ω within 0,2π and their infinite extension with the period 2π/ω. Sort all critical delays by size, then the exact intervals can be obtained exhaustively. Lastly, a boundary criterion is used to check the stability for any given delay point value in an interval. According to the continuity of stability exponent, the interval has identical stability with any delay point therein. Therefore, the stability property of all intervals is obtained. Numerical examples are given to illustrate the theoretical results.
Time-delay system complete stability neutral delay commensurate delays
Yang Dai Yunze Cai Xiaoming Xu
Department of Automation, Shanghai Jiao Tong University, 800 Dongchuan Road, P.R. China Department of Automation, Shanghai Jiao Tong University, 800 Dongchuan Road, P.R. China University o
国际会议
2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)
广西桂林
英文
117-121
2009-06-17（万方平台首次上网日期，不代表论文的发表时间）