循环与广义循环组合系统的块解耦方法

An Approach to Block Decoupling for Circulant and Generalized Circulant Composite Systems

循环矩阵一个重要的结构属性是存在一个与循环元素无关的相似变换矩阵 ,使其相似于对角阵·利用这个属性 ,给出循环组合系统状态块解耦变换的一个方法·由此法 ,可将这类组合系统简化降阶·从而为研究循环组合系统的某些特性提供了一个简便方法 ,如循环组合系统稳定性问题可等价地化归为若干个低维系统的稳定性问题· 研究进一步表明 ,这种方法也同样适应于类似“循环”结构组合系统 。

An approach of block decoupling for circulant and generalized circulant composite systems was proposed. The approach provides a convenient way to simplify circulant and generalized circulant composite systems. The stability of a circulant composite system is equivalent to that of a few lower dimensional systems. The approach is also applicable to the generalized circulant composite systems. The structure of the generalized system is similar to that of the circulant systems.