Hyperbolicity Radius of Time-Invariant Linear Systems

DOI10.1007/978-1-4614-7333-6_9zbMath1320.34019OpenAlexW207812118MaRDI QIDQ5248403

Stefan Siegmund, Thai Son Doan, Anke Kalauch

Publication date: 7 May 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-7333-6_9

zbMATH Keywords

transfer operatorinput-output operatorhyperbolicoty radius

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Invariant manifolds for ordinary differential equations (34C45) Linear difference equations (39A06)

Cites Work

• Stability radius for structured perturbations and the algebraic Riccati equation
• Robustness of stability of time-varying linear systems
• Exponential dichotomy and dichotomy radius for difference equations
• Stability radii for positive linear time-invariant systems on time scales
• Dichotomies in stability theory
• A formula for the stability radius of time-varying systems
• \((L^p,L^q)\)-admissibility and exponential dichotomy of evolutionary processes on the half-line
• Stability Radius and Internal Versus External Stability in Banach Spaces: An Evolution Semigroup Approach
• New characterizations of exponential dichotomy and exponential stability of linear difference equations

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