A note on the reachability of a Fibonacci control system
Anna Chiara Lai
TL;DR
This paper studies a discrete control system inspired by Fibonacci sequences, focusing on characterizing the set of states that can be reached, with applications in robotics.
Contribution
It provides a novel analysis of the reachability of a Fibonacci-based control system, which was not previously characterized.
Findings
The reachable set of the system is explicitly characterized.
The system's behavior is linked to Fibonacci sequence properties.
Potential applications in robotic control are discussed.
Abstract
Motivated by applications in robotics, we investigate a discrete control system related Fibonacci sequence and we characterize its reachable set.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
Topicssemigroups and automata theory · Mathematical Dynamics and Fractals · Geometric and Algebraic Topology