摘要
本文提出了描述单特征值系统的一种特殊形式——“单值——约当(Jordan)标准形”,针对这一标准形系统,给出了能控性和能观测性判据、状态转移阵Φ(t)各元的递推计算式,以及该标准形与对角线标准形间相互转换的非奇异变换矩阵P的表达式等。
This paper offers a newfangled normative descriptiondefined as single eigenvalue-Jordan normative form(SE-JNF)for singleeigenvalue systems.Further,the paper studies the properties of the new-fangled description,for example,the eigenvalue operation,the criteriaof the controllability and the observability,etc.To state the reality inphysics for the SE-JNF,the physical simulation diagram is shown in thepaper.The paper also gives out the recursive calculation expression ofeach element φ_(ij) in Φ(t)which is just the state transition matrix of theSE-JNF.At the same time,the nonsingular transform matrix P which canmake the diagonal description convert into the SE-JNF or on the contrray,the SE-JNF into the diagonal form is also given in the paper.
关键词
单特征值
状态转移阵
物理仿真
single eigenvalue
state transition matrix
physical simulation
