EIGENSTRUCTURE PERTURBATION IN DISJOINTED DOMAINS FOR LINEAR SYSTEMS WITH STRUCTURED UNCERTAINTY

摘要

In this paper, eigenvalue/eigenvector( eigenstructure ) perturbation analysis is carried out with structured uncertainty to get bounds on uncertain parameter ranges. The uncertain parameter intervals presented in this paper retain the perturbed eigenvalues in the disjointed neighborhoods of the nominal eigenvalues. The neighborhoods are assumed to be circular domains around nominal eigenvalues with a radius R_θ. For each of these disjointed circular regions in complex plane, the problem of generating a cone around the nominal eigenvector due to perturbation is also attempted. The disjointed regions in complex plane together with their cones in a vector space construct a family of eigenpairs for the perturbed system. Flexible space structure model is considered for illustration.