Robust controllability of linear time-invariant interval systems

The robust controllability problem for linear time-invariant interval systems is studied in this article. The rank preservation problem is converted to a non-singularity analysis problem of the minors of the matrix in discussion. Based on some essential properties of matrix measures, a new, sufficient, algebraically elegant criterion for the robust controllability of linear time-invariant interval systems is established. A numerical example is given to illustrate the application of the proposed sufficient algebraic criterion, and to show that the proposed sufficient condition can obtain less conservative results than the existing ones reported recently in the literature.