Ch. Lee et al., ON THE ESTIMATION OF EIGENVALUE REGIONS FOR DISCRETE TIME-DELAY SYSTEMS WITH A CLASS OF HIGHLY STRUCTURED PERTURBATIONS, Circuits, systems, and signal processing, 15(5), 1996, pp. 695-709
By means of norm, M-matrix, and matrix measure techniques, this paper
estimates several restricted regions in the complex plane in which all
eigenvalues of a class of discrete time-delay systems subjected to hi
ghly structured parametric perturbations are located. Both the stabili
ty and the instability conditions for these systems are also investiga
ted via the proposed schemes. Two numerical examples are given to veri
fy the correctness and demonstrate the applicability of the quantitati
ve results.