An iteration method for exponential stability of linear time-varying singularly perturbed systems

摘要：

An iteration method is proposed to investigate the exponential stability of linear time-varying singularly perturbed systems. By applying the variation-of-constants formula, an iterative process is introduced to approximate the solution of system under consideration. Then using the internal relations between iterative convergence and stability, a sufficient condition that ensures exponential stability for sufficiently small singular perturbation parameter is derived. Moreover, the stability bound of singular perturbation parameter can be obtained by calculating the spectral radius of certain parameter matrix. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.

关键词： Singularly perturbed systems Exponential stability Time-varying systems

作者: LU Xiaomei CHEN Wu-Hua

作者单位: College of Mathematics and Information Science, Guangxi University, Nanning 530004, P. R. China

会议类型: 国际会议

会议名称: The 31st Chinese Control Conference(第三十一届中国控制会议)

会议地点: 合肥

会议语种:英文

页码: 1351-1356

在线出版日期: 2012-07-01（万方平台首次上网日期，不代表论文的发表时间）