Robust Stability of Linear Evolution Operators on Banach Spaces
Authors:
- D. HinrichsenDHD. Hinrichsen
- A. J. PritchardAPA. J. Pritchard
- 1 November 1994
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control and Optimization
- Vol. 32 (6) , 1503-1541
Abstract
This paper introduces a stability radius for a wide class of linear infinite-dimensional time-varying systems under structured time-varying perturbations. A framework is presented that allows the same degree of unboundedness in the perturbations as in the generator of the nominal model.Keywords
This publication has 16 references indexed in Scilit:
- Perturbation Theory for Linear Operators1995
- Real and Complex Stability Radii: A Survey1990
- Robustness of stability of time-varying linear systemsJournal of Differential Equations, 1989
- Stability radius for structured perturbations and the algebraic Riccati equationSystems & Control Letters, 1986
- Semigroups of Linear Operators and Applications to Partial Differential Equations1983
- Infinite Dimensional Linear Systems Theory1978
- Uniform Asymptotic Stability of Evolutionary Processes in a Banach SpaceSIAM Journal on Mathematical Analysis, 1972
- A perturbation theorem for linear contraction semigroups on reflexive Banach spacesProceedings of the Japan Academy, Series A, Mathematical Sciences, 1971
- Optimal Control of Systems Governed by Partial Differential Equations1971
- Integration of the equation of evolution in a Banach space.Journal of the Mathematical Society of Japan, 1953