Feedback and Stabilizability.

Y.Xu (Fudan Univ.) Slides

The terminology « stabilization » is used more widely than « stablizability » when we discuss stability of a controlled system. Why ? The reason lies in using the so-called « Second Method of Lyapunov » excessively. As a structural character of the controlled system (like controllability), stabilizability should be more important. But the feedback set should be presented before we discuss stablizability. The larger the feedback set is, the more possible stabilizability becomes. In this talk, we will focus on the concept of feedback and discuss the stabilizability problem from the viewpoint of optimal control and game theory. Here are questions that we will address : What is the relationship between open-loop control and feedback in optimal control theory ? In our framework, feedback is defined on information. How to value different information ?Could stabilizability be improved when we enlarge the original feedback set ?How to design a stabilizable controlled system as simply as possible ?.