Robust stability of Metzler operator and delay equation in \(L^p([-h,0]; X)\)

zbMath1264.34130MaRDI QIDQ879690

Nguyen Khoa Son, The Anh Bui, Duong Dang Xuan Thanh

Publication date: 14 May 2007

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.math.ac.vn/publications/vjm/VJM_34/Pdf_files_3_2006/Bai12_KhoaSon-rev.pdf

zbMATH Keywords

\(C_0\)-semigroupdelay equationsstability radiusMetzler operator

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Robust stability (93D09) Perturbations of ordinary differential equations (34D10) Linear functional-differential equations (34K06) Linear differential equations in abstract spaces (34G10)

Related Items (8)

Robust stability of delay equations in \(L^{p}([-h,0;X)\) under parameter perturbations] ⋮ Robust stability of a class of positive quasi-polynomials in Banach spaces ⋮ Stability radii of delay difference systems under affine parameter perturbations in infinite dimensional spaces ⋮ Stability radii of positive higher order difference systems under fractional perturbations ⋮ Stability radii of positive linear time-delay systems under fractional perturbations ⋮ Stability radii of positive linear systems under affine parameter perturbations in infinite dimensional spaces ⋮ Stability radii of positive higher order difference system in infinite dimensional spaces ⋮ A Perron-Frobenius theorem for positive polynomial operators in Banach lattices

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