Stability and stabilizability of stochastic evolution equations on Hilbert spaces

DOI10.1080/00207178908953397zbMath0685.93072OpenAlexW2068035736MaRDI QIDQ4204091

Jin Heon Seo

Publication date: 1989

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178908953397

zbMATH Keywords

Wiener processmild solutionsstochastic evolution equations

Mathematics Subject Classification ID

Stochastic stability in control theory (93E15) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Cites Work

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• Stability of stochastic partial differential equation
• Feedback stabilizability for stochastic systems with state and control dependent noise
• Extending a theorem of A. M. Liapunov to Hilbert space
• Ito's lemma in infinite dimensions
• Frequency-domain criteria for stability of a class of nonlinear stochastic systems
• Stabilizabiltty of certain stochastic systems
• Dynamic Programming Approach to Stochastic Evolution Equations
• An Overview of Bilinear System Theory and Applications
• Optimal Stationary Control with State Control Dependent Noise
• Mean square stability criteria for stochastic feedback systems

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