非线性系统及切换等混杂系统的稳定性分析;鲁棒控制;分数阶系统等。本科:数学分析、泛函分析、复变函数、微分几何、矩阵论、数学方法论、数学实验与建模、高等数学等。研究生:泛函分析、鲁棒控制、切换系统等。1. 第一作者,Stability analysis of reset positive systems with discrete-time triggering conditions, Applied Mathematics Letters,2015年第1期.2. 第一作者,Stability analysis of discrete-time switched linear systems with unstable subsystems, Applied Mathematics and Computation,2016第2期.3. 第一作者,Generalized Lyapunov function theorems and its applications in switched systems, Systems & Control Letters, 2015年第3期.4. 第一作者,Robust stability analysis of uncertain switched linear systems with unstable subsystems, International Journal of Systems Science, 2015年第7期.5. 第一作者,Stability analysis of switched systems with extended average dwell time, Transactions of the Institute of Measurement and Control, 2017年在线.