Abstract:
The delay-dependent stability of linear delay difference systems with continuous time is investigated. Two upper bounds of the eigenvalues of the difference systems are derived. They are based on the spectral radius and the norms of the parameter matrices, respectively. A computable stability criterion is presented for the delay-dependent stability of the difference systems. The main results of this paper improve those in the literature.
Key words:delay-dependent stability, delay difference systems, bounds of the eigenvalues, argument principle.