题 目：The Cell Mapping Methods:From Global Analysis of Nonlinear Dynamics to Multi-Objective Optimization Problems （胞映射方法：从非线性动力学的全局分析到多目标优化问题）
报 告 人：孙建桥 教授 （天津大学 University of California Merced）
时 间：2019年4月9日（周二）14：00
地 点：延长校区行健楼1109
摘 要：The cell mapping methods were invited by C.S. Hsu of UC Berkeley in 1980s for global analysis of nonlinear dynamic systems. The methods have since evolved and been applied to various challenging problems including optimal controls of deterministic and stochastic nonlinear systems and multi-objective optimization problems. This talk presents a brief history of the cell mapping methods, and a summary of recent advances in algorithm studies for multi-objective optimization problems with the cell mapping methods. We present the latest algorithms of the cell mapping methods, and a hybrid of evolutionary algorithm and cell mapping for high dimensional multi-objective optimization problems. A number of interesting examples are included in the talk to demonstrate the broad applicability of the methods. The examples include well-known mathematical benchmark multi-objective optimization problems, multi-objective optimal design of linear and nonlinear controls, multi-objective optimization of structural-acoustic systems.
