Abstract
For partitions α of {1,…,n}, the classes of Pα
-matrices are defined, unifying the
classes of the real P -matrices and of the real positive definite matrices. Lyapunov scalar stability of
matrices is defined and characterized, and it is shown also that every real Lyapunov α-scalar stable
matrix is a Pα-matrix. Implication relations between Lyapunov scalar stability and H-stability are
discussed.
| Original language | American English |
|---|---|
| Pages (from-to) | 39-47 |
| Journal | Matrix |
| Volume | 1 |
| State | Published - 1998 |