Title
The Reach-Avoid Problem for Constant-Rate Multi-Mode Systems.
Abstract
A constant-rate multi-mode system is a hybrid system that can switch freely among a finite set of modes, and whose dynamics is specified by a finite number of real-valued variables with mode-dependent constant rates. Alur, Wojtczak, and Trivedi have shown that reachability problems for constant-rate multi-mode systems for open and convex safety sets can be solved in polynomial time. In this paper we study the reachability problem for non-convex state spaces, and show that this problem is in general undecidable. We recover decidability by making certain assumptions about the safety set. We present a new algorithm to solve this problem and compare its performance with the popular sampling based algorithm rapidly-exploring random tree (RRT) as implemented in the Open Motion Planning Library (OMPL).
Year
Venue
DocType
2017
ATVA
Conference
Volume
Citations 
PageRank 
abs/1707.04151
1
0.34
References 
Authors
13
5
Name
Order
Citations
PageRank
Shankara Narayanan Krishna124342.57
Aviral Kumar238.47
Fabio Somenzi33394302.47
Behrouz Touri417621.12
Ashutosh Trivedi514928.08