Conservative Control Systems Described by the Schrödinger Equation

DOI10.1007/978-3-642-04802-9_26zbMath1189.49041OpenAlexW1503859706MaRDI QIDQ3557828

Salah-Eddine Rebiai

Publication date: 23 April 2010

Published in: IFIP Advances in Information and Communication Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-04802-9_26

zbMATH Keywords

energy balance equationconservative systemslinear Schrödinger equationwell-posed linear systems

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Linear systems in control theory (93C05) PDEs in connection with control and optimization (35Q93)

Cites Work

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• Well-posedness and sharp uniform decay rates at the \(L_{2}(\Omega)\)-level of the Schrödinger equation with nonlinear boundary dissipation
• Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems
• A cosine operator approach to modeling \(L_ 2(\)0,T;\(L_ 2(\)Gammma))- boundary input hyperbolic equations
• Optimal regularity, exact controllability and uniform stabilization of Schrödinger equations with Dirichlet control
• Regular linear systems with feedback
• \(L_2(\Sigma)\)-regularity of the boundary to boundary operator \(B^*L\) for hyperbolic and Petrowski PDEs
• The operator \(B^*L\) for the wave equation with Dirichlet control
• When is a linear system conservative?
• The Linear-Quadratic Optimal Control Problem with Delays in State and Control Variables: A State Space Approach
• Infinite Dimensional Linear Systems With Unbounded Control and Observation: A Functional Analytic Approach
• A Bound on the Boundary Input Map for Parabolic Equations with Application to Time Optimal Control
• How to get a conservative well-posed linear system out of thin air. Part I. Well-posedness and energy balance
• How to Get a Conservative Well-Posed Linear System Out of Thin Air. Part II. Controllability and Stability
• Dynamical free boundary problem for an incompressible potential fluid flow in a time-varying domain

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