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- W2075795493 abstract "Abstract Given a pair of control systems x ˙ = f ( x , u ) and y ˙ = h ( y , v ) whose state spaces are differentiable manifolds M and N , respectively, we focus on situations where there exists a mapping Φ : M → N that induces some type of correspondence between the trajectories of the systems. An important instance of this situation occurs when f is a complex system (for example, one having many states), h is a subsystem of f (presumably, with fewer states and a simpler structure than f ), and Φ is a mapping from the full state space M to a reduced state space N . Some recent research has concentrated on the concept of Φ -related systems, where it is required that Φ send trajectories of f onto trajectories of h . Here we approach the problem from a different direction and ask under what conditions trajectories of the subsystem h can be lifted to trajectories of the full system f . We provide computable sufficient conditions for the local and global lifting of trajectories from N to M . Connections between the lifting problem and the problem of global ( f , g ) -invariance are also discussed briefly." @default.
- W2075795493 created "2016-06-24" @default.
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- W2075795493 date "2005-03-01" @default.
- W2075795493 modified "2023-10-17" @default.
- W2075795493 title "Lifting of trajectories of control systems related by smooth mappings" @default.
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- W2075795493 doi "https://doi.org/10.1016/j.sysconle.2004.08.006" @default.
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