In this note, the known deterministic linear-quadratic Stackelberg game is revisited, whose open-loop solution actually possesses the nature of time inconsistency. To handle the time inconsistency, a time-consistent open-loop solution is introduced for the deterministic linear-quadratic Stackelberg game. On the existence and uniqueness of such a kind of solution, necessary and sufficient conditions are obtained, which are characterized via several Riccati-like equations. 

报告人简介

倪元华现为南开大学人工智能学院副教授、博士生导师，研究方向为复杂系统的建模优化与控制、随机系统的优化与控制、分布式优化与控制。现主持国家自然科学基金面上项目一项，曾获第 22 届关肇直奖（2016 年度），理论研究结果丰富，发表SCI 文章 20 余篇，主要结果以长文发表在《IEEE Transactions on Automatic Control》、《Automatica》、《SIAM Journal on Control and Optimization 》、《IEEE Transactions on Cybernetics》等期刊上。倪元华是期刊《System & Control Letter》和《系统科学与数学》的编委，中国自动化学会控制理论专业委员会随机学组委员、中国人工智能学会智能空天专业委员会委员等。