Improving stability of nonlinear dynamic systems via slowly periodical time-varying parameters
On the basis of the geometric singular perturbation theory and the theory of stability loss delay in slow-fast systems, the stability ofslowly periodical time-varying systems including the systems with slowly periodical time-varying delay is investigated in this paper.Sufficient conditions ensuring the asymptotic stability of the slowly periodical time-varying systems are obtained. Especially, though atime-varying parameter usually increases complexity in the analysis of system dynamics and it usually deteriorates system stability aswell, the study indicates that under certain conditions, the stability of the systems with a time-invariant bifurcation parameter only can beimproved by incorporating a slowly periodical time-varying part into the bifurcation parameter. Two illustrative examples are given toconfirm the positive effect of slowly periodical time-varying parameters on the stability of dynamical systems.
Y. G. Zheng Z. H. Wang Y. G. Zheng Z. H. Wang
Nanchang Hangkong University, Nanchang, Jiangxi 330063, China Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, 210
国内会议
哈尔滨
英文
1-16
2011-08-22（万方平台首次上网日期，不代表论文的发表时间）