一般非线性系统的Kalman分解
Kalman Decomposition of General Nonlinear Systems
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摘要: 本文讨论一般非线性系统的标准分解问题.线性系统的Kalman分解给出了系统的能控 状态、能观状态和系统的最小实现.本文首先给出非线性系统的局部第一类Kalman分解形 式,从而解决了系统的局部能控状态和局部能观状态的分解.然后,再给出第二类Kalmall分 解形式,它提供了非线性系统的局部最小实现.Abstract: This paper deals with the canonical decomposition of general nonlinear systems.The Kalman decomposition of linear systems provides the controllable states, observable states, and the minimal realization of linear systems.This paper gives, firstly, the local first Kalman decomposition of nonlinear systems, which shows the local observable states and the local controllable states. Then, there is the second Kalman decomposition, which provides the local minimal realization of nonlinear systems.
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