Qualitative Analysis of Complex Dynamical Systems

复杂动力系统的定性分析

• 批准号: 8419918
• 负责人: Anthony Michel
• 金额: $ 17.95万
• 依托单位: University of Notre Dame
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1985
• 资助国家: 美国
• 起止时间: 1985-07-01 至 1988-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8419918&HistoricalAwards=false
• 关键词: Qualitative; Analysis; Complex; Dynamical; Systems

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.

本研究涉及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（可以用微分方程和算子的混合来描述）的研究，重点是保持稳定算子的性质；相互联系系统中周期运动的存在、不存在、稳定或不稳定问题的研究；建立互联系统Lyapunov稳定性的技术；以及一般动力系统，特别是电力系统的安全评估和故障诊断问题的研究。