自动化学报2009，Vol.35Issue(3)：299-304,6.DOI:10.3724/SP.J.1004.2009.00299
时滞分布参数控制系统指数镇定的LMI方法
LMI Approach to Exponential Stabilization of Distributed Parameter Control Systems with Delay
摘要
Abstract
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.关键词
Distributed parameter/stabilization/delay/linear matrix inequality (LMI)Key words
Distributed parameter/stabilization/delay/linear matrix inequality (LMI)分类
信息技术与安全科学引用本文复制引用
罗毅平,夏文华,刘国荣,邓飞其..时滞分布参数控制系统指数镇定的LMI方法[J].自动化学报,2009,35(3):299-304,6.基金项目
Supported by the Natural Science Foundation of Hunan Province (07JJ6112), the Construct Program of the Key Discipline in Hunan Province (control theory and control engineering), and Scientific Research Fund of Hunan Provincial Education Department (04A012,07A015) （07JJ6112）
