Non-uniformly exponential stability for time-varying linear systems

Exponential stability analysis is one of the most important problems in the study of the asymptotic behavior of solutions of continuous-time linear systems. In comparison with the classical exponential stability, weaker criteria of (strongly) non-uniformly exponential stability for the time-varying linear systems are derived in this paper. By a nonsingular linear state transformation, a (strongly) non-uniformly exponentially stable system can be equivalent to a simple one with the coefficient matrix whose measure is bounded by negative constants.

胡秀林，理学博士，合肥大学数学与统计学学院副教授，硕士生导师，安徽省教坛新秀。主要从事时滞微分方程及其数值稳定性的研究，在Journal of Computational and Applied Mathematics，Numerical Algorithm等期刊发表论文10余篇。