%0 Journal Article %T LMI Approach to Exponential Stabilization of Distributed Parameter Control Systems with Delay
时滞分布参数控制系统指数镇定的LMI方法(英文) %A LUO Yi-Ping XIA Wen-Hua LIU Guo-Rong DENG Fei-Qi Hunan Institute of Engineering %A Xiangtan %A PRChina %A
罗毅平 %A 夏文华 %A 刘国荣 %A 邓飞其 %J 自动化学报 %D 2009 %I %X A renovating method for distributed parameter control systems with constants, varying-delays, and multi-varying-delays is put forward. By constructing average Lyapunov functions and employing linear matrix inequality (LMI) and other matrix inequality technologies, several sufficient conditions for exponential stabilization are derived. In this method, the conditions are delay-dependent and at the same time, the upper-bound of exponential convergence rate is obtained. In addition, the distinctive advantage of our method is that the criteria mentioned in the paper are easy to check, so it can be applied to practice easily. Finally, a computation example is given to illustrate the proposed method. %K Distributed parameter %K stabilization %K delay %K linear matrix inequality (LMI)
Distributed %K parameter %K stabilization %K delay %K linear %K matrix %K inequality %K (LMI) %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=2E94FEF1C8F9213FE8E87642681ED4F0&yid=DE12191FBD62783C&vid=6209D9E8050195F5&iid=38B194292C032A66&sid=BF112261B65CB9C9&eid=8ED630AD8C61FAE8&journal_id=0254-4156&journal_name=自动化学报&referenced_num=0&reference_num=0