边值线性系统的能控性、能观性和对偶性

Controllability, Observability and Duality of Boundary Value Linear Systems

本文讨论了依赖特定边界条件的最一般的边值线性系统 x(t)=A(t)x(t)+B(t)u(t) y(t)=C(t)G(t,0)Φ(0,t) Mx(0)+Nx(T)=η的能控性、能观性和对偶性的概念。这和Krener介绍的一系列概念是不同的。本文还建立了与初值线性系统相平行的,关于边值线性系统的能控性、能观性和对偶性理论,

This paper discussed some concepts of controllability, observability and duality of the most general oundary value linear systems depending on the particular boundary conditions x(t) = A(t)x(t) + B(t)u(t) y(t) = C(t)G(t,0) Φ(0,t)Mx(0) + Nx(T) = η The concepts are distinguishable from those introduced by Krener, The whole theory of the controllability, observability and duality contrasted with initial value linear systems is estabilished.