Stability Radii of Linear Systems Under Multi-perturbations
Pham Huu Anh Ngoc, Nguyen Khoa Son · Numerical Functional Analysis and Optimization · 2004
In this paper, we study stability radii of linear systems under multi-perturbation of the coefficient matrices. Formulas for complex stability radius are derived. We then consider linear positive systems and prove that for this class of systems, the complex stability radius is equal to the real stability radius which can be computed via a simple formula. We illustrated the obtained results by two examples.