Title: Relaxed in-block controllability of affine systems on polytopes
Abstract:We consider affine systems defined on polytopes and study the cases where the systems are not in-block controllable with respect to the given polytopes. Instead, we introduce in this paper the notion ...We consider affine systems defined on polytopes and study the cases where the systems are not in-block controllable with respect to the given polytopes. Instead, we introduce in this paper the notion of relaxed in-block controllability (RIBC). In particular, we study whether all the states in the interior of a given polytope are mutually accessible through the interior of a given bigger polytope by applying uniformly bounded control inputs. By exploring the geometry of the problem, we provide necessary conditions for RIBC. Then, we present where these conditions are also sufficient. Several illustrative examples are also given to clarify the main results.Read More
Publication Year: 2014
Publication Date: 2014-12-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 5
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot