... dynamics are given by x0 = 1. Thus, reachability problems for continuous-time linear dynamical systems are essentially problems on hybrid automata with a ...

This thesis deals with reachability and freeness problems for systems with linear dynamics, including hybrid systems and matrix semigroups.

We show that the Continuous Skolem Problem lies at the heart of many natural verification questions on linear dynamical systems. We describe some recent ...

Sep 12, 2015 · Theorem (Chonev, Ouaknine, W. 2015). Assuming Schanuel's Conjecture, BOUNDED-ZERO is decidable in all dimensions.

Mar 11, 2024 · In this paper, we prove that when the source set is semialgebraic and the target set consists of a hyperplane, multiple reachability is undecidable.

The problem of reachability with multiple control constraints is discussed and certain aspects of reachability for time-invariant systems with adjustable ...

Theorem 4 The reachability problem for continuous time linear dynamical systems with ra- tional coefficients is decidable. To decide whether a point is ...

The problem of reachability for a linear time-invariant system is the same as the general case: we wish to find an input u(·) that can steer the system from an ...

Reachability analysis deals with the problem of finding the set of states that a sys- tem can reach when starting from a specified set of initial states in ...

Checking the reachability of a point for example is a fundamental problem. In this document we will show that this problem that is undecidable in the ...