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