A Decomposition Theory for Differentiable Systems
Arthur J. Krener · SIAM Journal on Control and Optimization · 1977
A theory analogous to the Krohn–Rhodes theory of finite automata is developed for systems described by a finite dimensional ordinary differential equation. It is shown that every such system with a finite dimensional Lie algebra can be decomposed into the cascade of systems with simple or one dimensional algebras. Moreover, in some sense these systems admit no further decomposition. No knowledge of Krohn–Rhodes theory is assumed of the reader.