کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10413113 895495 2005 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lifting of trajectories of control systems related by smooth mappings
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Lifting of trajectories of control systems related by smooth mappings
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 54, Issue 3, March 2005, Pages 195-205
نویسندگان
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