对称非线性控制系统的结构分解
The Structure Decomposition of Symmetric Nonlinear Control Systems
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摘要: 本文在文献[1]的基础上利用李代数的半直和分解,对具有对称性的非线性控制系统作 了结构上的简化分解,并证明任一具有无穷小状态空间对称的非线性系统都存在一级联分解 与一准平行分解的并联分解形式.Abstract: On the basis of reference [1], the paper presents the structure decomposition of symmetric nonlinear control systems by means of the semi-direct sum decomposition of Lie algebras. It is proved that a nonlinear system with infinite simal state space symmetry has a parallel form of a cascade decomposition and quasi-parallel decomposition.
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Key words:
- Symmetry /
- Lie group /
- decomposition /
- distribution
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