Optimization in Transition between Two Dynamic Systems Governed by a Class of Weakly Singular Integro-Differential Equations

• 作者: Shihchung Chiang
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Optimal REQUIREMENT TRANSITION WEAKLY SINGULAR Integro-Differential EQUATIONS Stability
• 年，卷（期）: 2019,（10）
• 页码范围: 826-835
• 页数: 10页
• 分类号: O17

摘要

This study presents numerical methods for solving the minimum energies that satisfy typical optimal requirements in the transition between two dynamic systems where each system is governed by a different kind of weakly singular integro-differential equation. The class of weakly singular integro-differential equations originates from mathematical models in aeroelasticity. The proposed numerical methods are based on earlier reported approximation schemes for the equations of the first kind and the second kind. The main result of this study is the development of numerical techniques for determining the stability between two dynamic systems in the minimum energy sense.