Stability robustness bounds for linear state-space models with structured uncertainty. (English) Zbl 0616.93060

Zhou, Kemin; Khargonekar, Pramod P.

IEEE Trans. Autom. Control 32, 621-623 (1987).

We consider the robust stability analysis problem in linear state-space models. We consider systems with structured uncertainty. Some lower bounds on allowable perturbations which maintain the stability of a nominally stable system are derived. These bounds are shown to be less conservative than the existing ones.

MSC:

93D05	Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93B35	Sensitivity (robustness)
93C05	Linear systems in control theory
34D10	Perturbations of ordinary differential equations
34D20	Stability of solutions to ordinary differential equations

Keywords:

robust stability analysis; linear state-space models; structured uncertainty