Real stability radii of linear time-invariant time-delay systems

• DOI: 10.1016/s0167-6911(03)00155-5
• Publication Date: 2003-06-02T20:25:55Z
• Authors: Guangdi Hu; Edward J. Davison
• Keywords: LTI system theory; Linear stability; Complex plane

In this paper, the real stability radii for perturbed linear differential equations of the retarded and neutral type are investigated. We present the corresponding readily computable formulae with respect to an arbitrary stability region in the complex plane. The results are further extended to the case of linear discrete time-delay systems.