Feedback stabilization of distributed semilinear control systems
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Publication:1257440
DOI10.1007/BF01442552zbMath0405.93030MaRDI QIDQ1257440
Marshall Slemrod, John M. Ball
Publication date: 1979
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Hilbert SpaceInfinitesimal GeneratorContraction SemigroupFeedback StabilizationSemilinear Control System
Semigroups of nonlinear operators (47H20) Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Controllability and stability
- Semigroups of linear operators and applications to partial differential equations
- A class of semi-linear equations of evolution
- On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations
- Non-linear semi-groups
- Uniform processes and semicontinuous Liapunov functionals
- Asymptotic behavior of nonlinear contraction semigroups
- Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
- Stabilization of Bilinear Control Systems with Applications to Nonconservative Problems in Elasticity
