An exact homology sequences approach to the controllability of systems (Q1059583)

This paper extends to multiinput linear systems \(\dot x=Ax+Bu\) \((x\in {\mathbb{R}}^ n\), \(u\in {\mathbb{R}}^ m)\) the homological approach to the controllability problem. This approach was originally introduced for single-input linear systems by \textit{J. Casti} [J. Math. Anal. Appl. 68, 334-346 (1979; Zbl 0426.93015)].