Morphisms of tautological control systems

摘要

Abstract In this paper, we investigate morphisms of tautological control systems. Given a tautological control system $$mathfrak {H}$$ H on the manifold N and a mapping $$Phi : M ightarrow N$$ Φ : M → N , we study existence of tautological control system $$mathfrak {G}$$ G on the manifold M such that there exists a trajectory-preserving morphism $$(Phi , Phi ^#)$$ ( Φ , Φ # ) from