Hinrichsen, Diederich; Pritchard, A. J. Stability radii of linear systems. (English) Zbl 0631.93064 Syst. Control Lett. 7, 1-10 (1986). The concepts of real and complex stability radii are introduced and some of their properties discussed. Cited in 6 ReviewsCited in 87 Documents MSC: 93D99 Stability of control systems 93B35 Sensitivity (robustness) 93C05 Linear systems in control theory 15A18 Eigenvalues, singular values, and eigenvectors 34D10 Perturbations of ordinary differential equations 47A55 Perturbation theory of linear operators 93B17 Transformations 93B28 Operator-theoretic methods Keywords:robust stability; distance from instability; linear state space system; real and complex stability radii PDF BibTeX XML Cite \textit{D. Hinrichsen} and \textit{A. J. Pritchard}, Syst. Control Lett. 7, 1--10 (1986; Zbl 0631.93064) Full Text: DOI References: [1] Åström, K.J., A robust sampled regulator for stable systems with monotone step responses, Automatica, 16, 313-315, (1980) · Zbl 0435.93032 [2] Doyle, J.C.; Stein, G., Concepts for a classical/modern synthesis, IEEE trans. automat. control, 26, 4-16, (1981) · Zbl 0462.93027 [3] Postlethwaite, I.; Edmunds, J.M.; MacFarlane, A.G.J., Principal gains and principal phases in the analysis of linear multivariable feedback systems, IEEE trans. automat. control, 26, 32-46, (1981) · Zbl 0462.93019 [4] Owens, D.H.; Chotai, A., Robust controller design for linear dynamic systems using approximate models, (), 45-56 · Zbl 0541.93021 [5] Francis, B.; Zames, G., Feedback minimax sensitivity and optimal robustness, IEEE trans. automat. control, 28, 585-601, (1983) · Zbl 0528.93026 [6] Kwakernaak, H., Minimax frequency domain optimization of multivariable linear feedback systems, () · Zbl 0179.14204 [7] Ackermann, J., Parameter space design of robust control systems, IEEE trans. automat. control., 25, 1058-1080, (1980) · Zbl 0483.93041 [8] Ackermann, J., Multimodel approaches to robust control system design, () · Zbl 0563.93019 [9] Eising, R., The distance between a system and the set of uncontrollable systems, () · Zbl 0534.93011 [10] Hinrichsen, D.; Pritchard, A.J., Stability radius for structured perturbations and the algebraic Riccati equation, () · Zbl 0626.93054 [11] Gantmacher, F.R., () This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.