Stability and Stabilization of Positive Systems with Delays
This paper addresses stability analysis and controller design for discrete-time positive systems with multiple delays. The control is under positivity constraint, which means that the resulting closed-loop systems are not only stable, but also positive. The contribution lies in two aspects. First, a set of necessary and sufficient stability conditions is established for delayed discrete-time positive systems. Second, several necessary and sufficient conditions are presented for the existence of controllers under the positivity constraint. All the controllers are explicitly constructed if existent, and all the results are formulated as linear programming or linear matrix inequality problems, hence easy to be verified.
Xingwen Liu
School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, China
国际会议
2009国际通信电路与系统学术会议(ICCCAS 2009)(2009 International Conference on Communications，Circuits and Systems)
成都
英文
908-912
2009-07-23（万方平台首次上网日期，不代表论文的发表时间）