Control systems with delays: Areas of applications and present status of the linear theory

摘要: This paper surveys several areas of applications models hereditary type and summarizes the present status linear control theory in autonomous case. By treating differential systems (HDS) Hilbert space M2 using evolution equations, we show that most system theoretic concepts can be put together a unified framework. There an important role is played by certain "hereditary operator" F which permits to achieve substantial simplifications existing theory. this operator, spectral along with controllability observability related are reviewed. It shown use operator construct notions directly feedback stabilization solvability algebraic Riccati equation, thus making whole complete.