Stability radii of positive linear systems under affine parameter perturbations in infinite dimensional spaces

DOI10.1007/S11117-008-2113-2zbMath1157.93432OpenAlexW2048677573MaRDI QIDQ1007076

Nguyen Khoa Son, The Anh Bui

Publication date: 27 March 2009

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-008-2113-2

zbMATH Keywords

stability radiusaffine parameter perturbationspositive difference equations

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Discrete-time control/observation systems (93C55) Perturbations in control/observation systems (93C73) Linear systems in control theory (93C05)

Related Items (11)

Stability radii of positive linear systems under fractional perturbations ⋮ Robust stability of a class of positive quasi-polynomials in Banach spaces ⋮ Robust stability of Metzler operators under parameter perturbations ⋮ The Robustness of Strong Stability of Positive Homogeneous Difference Systems Under Parameter Perturbations ⋮ Robust stability of delay difference systems under fractional perturbations in infinite-dimensional spaces ⋮ Stability radii of positive higher order difference systems under fractional perturbations ⋮ Robust stability of positive linear systems in Banach spaces ⋮ Stability radii of positive linear time-delay systems under fractional perturbations ⋮ Decay rate constrained stabilization of positive systems using static output feedback ⋮ Stability criteria for positive linear discrete-time systems ⋮ A Perron-Frobenius theorem for positive polynomial operators in Banach lattices

Cites Work

• Unnamed Item
• Unnamed Item
• Robust stability of Metzler operator and delay equation in \(L^p([-h,0; X)\)]
• Stability radii of linear systems
• Robust stability of \(C_0\)-semigroups and an application to stability of delay equations
• Stability radii of Metzler operators
• Stability radii of infinite-dimensional positive systems
• Stability radii of positive linear difference equations under affine parameter perturbations
• A formula for computation of the real stability radius
• Robust Stability of Linear Evolution Operators on Banach Spaces

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