Stability, stabilizability and controllability of neutral type systems

Thời gian: 10:30 đến 11:45 Ngày 24/05/2018

Địa điểm: C2-714, VIASM

Báo cáo viên: Prof. Dr. R. Rabah (Institut Mines-Telecom Atlantique, Nantes, France)

Tóm tắt:

The purpose is to give  an overview of some particular properties of a large class of neutral type systems. They are known for their complexity and also their analogy with some partial differential equations of  hyperbolic type. On this particularity is that the spectrum is infinite along vertical axis which makes the analysis of stability more difficult and rich. We give an analysis of the possible existence of a basis of generalized eigenvectoror of invariant subspaces. Based on that analysis, we give conditions of asymptotic stability and stabilizability, exponential stabilizability and also complete stabilizability (with arbitrary decay rate). Relations with exact controllability will be discussed.