Exact boundary controllability of an integrodifferential equation
From MaRDI portal
Publication:579617
DOI10.1007/BF01442653zbMath0625.49016OpenAlexW2146949459MaRDI QIDQ579617
Publication date: 1987
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01442653
Controllability (93B05) Integro-partial differential equations (45K05) Optimization problems in solid mechanics (74P99) Attainable sets, reachability (93B03) Volterra integral equations (45D05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Existence theories in calculus of variations and optimal control (49J99)
Related Items
Controllability of the wave equation with moving point control ⋮ Null-controllability properties of the wave equation with a second order memory term ⋮ Null controllability for wave equations with memory ⋮ Control of homogeneous shear flow of multimode Maxwell fluids ⋮ Approximate controllability results for viscoelastic flows with infinitely many relaxation modes ⋮ Approximate controllability results for linear viscoelastic flows ⋮ Lack of null controllability of viscoelastic flows ⋮ Controllability of a Viscoelastic Plate using One Boundary Control in Displacement or Bending ⋮ Stability and Controllability of Operator Differential Equations ⋮ Control problems for weakly coupled systems with memory ⋮ Reachability problems for a class of integro-differential equations ⋮ An identification problem for an abstract linear hyperbolic integrodifferential equation with applications ⋮ Controllability for semilinear heat equation with globally Lipschitz nonlinearities and memory term ⋮ Are viscoelastic flows under control or out of control? ⋮ A note on a class of observability problems for PDEs ⋮ Reachability problems for a wave-wave system with a memory term ⋮ Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body ⋮ Boundary Observability for the Viscoelastic Wave Equation ⋮ Exact reachability for second-order integro-differential equations ⋮ Controllability and observability of a heat equation with hyperbolic memory kernel ⋮ Null-controllability properties of a fractional wave equation with a memory term
Cites Work
- Boundary value control of thermoelastic systems
- Wave propagation for linear integrodifferential equations in Banach space
- On boundary controllability of a vibrating plate
- A cosine operator approach to modeling \(L_ 2(\)0,T;\(L_ 2(\)Gammma))- boundary input hyperbolic equations
- Boundary control of an integrodifferential equation
- An abstract Volterra equation with applications to linear viscoelasticity
- Optimal control theory for the damping of vibrations of simple elastic systems
- Some remarks on the propagation and non-propagation of discontinuities in linearly viscoelastic liquids
- Resolvent Operators for Integral Equations in a Banach Space
- Linearized dynamics for step jumps of velocity and displacement of shearing flows of a simple fluid
- Boundary Value Control of the Wave Equation in a Spherical Region
- Mathematical Model of the Cochlea. II: Results and Conclusions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item