A Unifying Framework for Strong Structural Controllability

This article deals with strong structural controllability of linear systems. In contrast to the existing work, structured systems studied in this have a so-called zero/nonzero/arbitrary structure, which means that some entries are equal zero, arbitrary but nonzero, and remaining (zero or nonzero). We formalize terms pattern matrices, whose either fixed arbitrary. establish necessary sufficient algebraic conditions for full rank tests certain matrices. also give graph-theoretic condition property given matrix. makes use new color change rule is introduced article. Based on these two results, we then controllability. Moreover, relate our results those exist literature explain how generalize previous work.