Stability radii of infinite-dimensional systems subjected to unbounded stochastic perturbations

DOI10.1016/j.sysconle.2011.10.001zbMath1250.93123OpenAlexW2013058875MaRDI QIDQ450686

Masaru Kada, Salah-Eddine Rebiai

Publication date: 14 September 2012

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.10.001

zbMATH Keywords

robust stabilitystability radiusstochastic perturbationsinfinite-dimensional linear systemunbounded perturbations

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Linear systems in control theory (93C05) Robust stability (93D09) Stochastic stability in control theory (93E15) Control/observation systems in abstract spaces (93C25)

Related Items (1)

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Cites Work

• Direct solution of a Riccati equation arising in a stochastic control problem with control and observation on the boundary
• Wave equation with stochastic boundary values
• Extending a theorem of A. M. Liapunov to Hilbert space
• Equivalence of Lp stability and exponential stability for a class of nonlinear semigroups
• Stability radii of infinite dimensional systems with stochastic uncertainty and their optimization
• Stability Radii of Systems with Stochastic Uncertainty and Their Optimization by Output Feedback
• Evolution equations with white-noise boundary conditions
• Stochastic Equations in Infinite Dimensions
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