Stability Analysis of Periodic Positive Systems with Delays
This paper is concerned with the stability issue of discrete-time periodic positive systems with constant delays. First, a necessary and suf.cient condition is proposed which tests whether or not a periodic system is positive. Then, another necessary and suf.cient stability criterion is established which tests the asymptotic stability of periodic positive system with delays. It is well-known that for a linear time-invariant discrete-time positive system with or without delays, all the system matrices are nonnegative are necessary and suf.cient to guarantee its positivity, and its asymptotic stability is not affected by the delays. However, this paper shows that, in the context of discrete-time periodic positive systems with delays, the above-mentioned features disappear.
Delays Linear Programming Periodic Systems Positive Systems Stability
LIU Xingwen
College of Electrical and Information Engineering, Southwest University for Nationalities of China, Chengdu 610041, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
95-100
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）