Well-posedness and exact controllability of fourth-order Schrödinger equation with hinged boundary control and collocated observation

DOI10.1007/s00498-016-0175-4zbMath1346.93077OpenAlexW2485191499MaRDI QIDQ329105

Bao-Zhu Guo, Ruili Wen, Shugen Chai

Publication date: 21 October 2016

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-016-0175-4

zbMATH Keywords

exact controllabilitywell-posednessboundary control and observationfourth-order Schrödinger equation

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (6)

The fractional Schrödinger equation on compact manifolds: global controllability results ⋮ Well-posedness and regularity of Euler-Bernoulli equation with variable coefficient and Dirichlet boundary control and collocated observation ⋮ Exact boundary controllability of the linear biharmonic Schrödinger equation with variable coefficients ⋮ Positive and negative exact controllability results for the linear biharmonic Schrödinger equation ⋮ Stabilization and control for the biharmonic Schrödinger equation ⋮ The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Well-posedness and regularity of weakly coupled wave-plate equation with boundary control and observation
• Stabilization of elastic systems by collocated feedback
• Well-posedness of Cauchy problem for the fourth order nonlinear Schrödinger equations in multi-dimensional spaces
• Regularity of an Euler-Bernoulli equation with Neumann control and collocated observation
• Admissible observation operators for linear semigroups
• Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
• The cubic fourth-order Schrödinger equation
• Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
• Controllability and stability of a second-order hyperbolic system with collocated sensor/actuator
• The operator \(B^*L\) for the wave equation with Dirichlet control
• Regular linear systems governed by a boundary controlled heat equation
• Wellposedness for the fourth order nonlinear Schrödinger equations
• Regularity of a Schrödinger equation with Dirichlet control and colocated observation
• Caractérisation de quelques espaces d'interpolation
• Feedthrough Operator for Linear Elasticity System with Boundary Control and Observation
• Dynamic stabilization of regular linear systems
• The Regularity of the Wave Equation with Partial Dirichlet Control and Colocated Observation
• Infinite Dimensional Linear Systems With Unbounded Control and Observation: A Functional Analytic Approach
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Realization theory in Hilbert space
• Admissibility of Unbounded Control Operators
• Transfer Functions of Regular Linear Systems. Part I: Characterizations of Regularity
• Stabilization of second order evolution equations by a class of unbounded feedbacks
• The Salamon-Weiss class of well-posed infinite-dimensional linear systems: a survey
• On well-posedness, regularity and exact controllability for problems of transmission of plate equation with variable coefficients
• Well-Posedness and Exact Controllability of Fourth Order Schrödinger Equation with Boundary Control and Collocated Observation
• Linear operator inequalities for strongly stable weakly regular linear systems

This page was built for publication: Well-posedness and exact controllability of fourth-order Schrödinger equation with hinged boundary control and collocated observation