Pa-matrices and Lyapunov scalar stability.

Author
Hershkowitz, D.
Lecturer
For partitions ά of {1…n},the classes of P ά -matrices are defined, unifying theclasses of the realP-matrices and of the real positive definite matrices. Lyapunov scalarstability of matrices is de definite and characterized, and it is shown alsothat every real Lyapunov ά -scalar stable matrix is a P ά -matrix. Implicationrelations between Lyapunov scalar stability and H-stability are discussed.

 

Hershkowitz, D., & Mashal, N. (1998).

Pa-matrices and Lyapunov scalar stability. The Electronic Journal of Linear Algebra, 4, 39-47.

 

Last Updated Date : 15/02/2011