Constructive Design for Reachability of Reversible Discrete-Time Switched Linear Systems

This paper proposes a constructive design approach for reachability of reversible discrete-time switched linear systems. For any reachable reversible discrete-time switched linear system of dimension n, the constructed switching path is with not more than n(n+1)/2 - 1 switches. Compared with the previous results, the number of switches for achieving reachability is remarkably reduced.