Qualitative Analysis of Complex Dynamical Systems

这项研究涉及到复杂动力系统的行为分析。所考虑的问题可分为以下几类：混合动力系统(可用微分方程和算子的混合描述)的研究，着重于保稳定算子性质的研究；互联系统周期运动的存在、不存在、稳定或不稳定问题的研究；互联系统Lyapunov稳定性的建立技术；以及一般动态系统，特别是电力系统的安全评估和故障诊断问题的研究。

This research concerns the analysis of the behavior of complex dynamical systems. The problems under consideration can be classified into the following categories: the study of hybrid dynamical systems (which may be described by a mixture of differential equations and operators) with emphasis on the properties of stability preserving operators; the investigation of questions of existence, nonexistence, stability or instability of periodic motions in interconnected systems; techniques for establishing Lyapunov stability of interconnected systems; and the study of security assessment and fault diagnosis problems for dynamical systems in general and for power systems in particular.