Boundary Control
Exponential and polynomial stabilization of the Kirchhoff string by nonlinear boundary control
... nonlinear boundary control. Nonlinear boundary control is the negative feedback of the transverse velocity of the string at one end, which satisfies a polynomial-type ...
16
A Consecutive Quasilinearization Method for the Optimal Boundary Control of Semilinear Parabolic Equations
... Optimal boundary control of semilinear parabolic equations requires efficient solution methods in ...the control prob- lem equivalently into many finite consecutive control subproblems they ...
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Hybridization of Neural Nets and Genetic Algorithms to Compute the Boundary Control for Controlled Heat Equation
... In [11, 12] Neural Networks have been used for solving ordinary and partial differential equa- tions with known initial and boundary conditions. Sukavanam and Panwar [15] presented a numerical solution of ...
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A shape-measure method for solving free-boundary elliptic systems with boundary control function
... distributed control func- tion in [5] To continue, in the present paper we introduce an approach for solving free boundary problems governed by elliptic equations with two spe- cial ...a boundary ...
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Boundary control and dynamical reconstruction of vector fileds (the BC-method)
... An approach to the dynamical inverse problems (IP’s) based upon their relations to the Boundary Control Theory ( the so-called BC-method ) is developed. The method is applied to the problem of ...
6
Boundary Control Problem of Infinite Order Distributed Hyperbolic Systems Involving Time Lags
... optimal boundary control problem of a second order hyperbolic systems involving constant time lags appearing in the boundary condition have been considered in ...
11
Optimal boundary control for the incompressible viscoelastic fluid system
... [6] John C., Wachsmuth D. 2009. Optimal Dirichlet boundary control of stationary Navier-Stokes equations with state constraint. Numerical Functional Analysis and Optimization. 30(11): 1309-1338. [7] Doubova ...
5
Four Algorithms for Boundary Control with Breaking in Space and Time
... active control systems either have a priori complete information about the boundary-value problem and damped waves before switching on, or get it during the measurement process or accumulate and update ...
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Boundary control problem with an infinite number of variables
... the boundary control problem for a system gov- erned by Neumann problem involving selfadjoint elliptic operator of 2th order with an infinite number of ...optimal control in terms of the adjoint ...
6
Exact controllability for a wave equation with fixed boundary control
... This paper addresses the study of the controllability for a one-dimensional wave equation in domains with moving boundary. This equation characterizes the motion of a string with a fixed endpoint and the other one ...
10
A trust region method for parabolic boundary control problems
... 1. Introduction. In this paper we show how methods that combine CG iteration and trust re- gion globalization for optimization problems subject to simple bounds can be applied in a infinite dimensional setting to ...
17
On a Neumann boundary control in a parabolic system
... a boundary condition of a parabolic system in one dimension. This control aims to find the best appropriate right-hand side boundary function which ensures the closeness between the solution of system ...
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Second order sufficient optimality conditions for a class of elliptic control problems
... In the paper [4] the authors have established second order sufficient optimal- ity conditions for a class of elliptic boundary control problems with pointwise constraints on the control. Here we ...
16
Optimisation with PDE Constraints (OPTPDE)
... or boundary control of PDEs with constraints on the state and/or the control, the optimal design of structures and systems described by PDEs, and inverse problems such as the identification of ...
8
The Continuous Classical Boundary Optimal Control of Couple Nonlinear Hyperbolic Boundary Value Problem with Equality and Inequality Constraints
... classical boundary control vector (CCBCV) is known, the theorem of existence a CCBOCV with equality and inequality state vector constraints (EIESVC) is stated and proved, the existence theorem of a unique ...
11
An Optimization Problem of Boundary Type for Cooperative Hyperbolic Systems Involving Schrödinger Operator
... optimal control problems of distributed systems involving Schrödinger operator have been widely discussed in many ...Many boundary control problems have been introduced in ...
11
Maximum principle and its extension for bounded control problems with boundary conditions
... time-optimal control problems [1], and the concept of sub- Riemannian “abnormal” minimizers that appear in ...of boundary value problem (BVP), it is clear that our version of necessary condition for ...
25
AN ALGORITHM FOR COMPUTING BOUNDARY POINTS OF REACHABLE SETS OF CONTROL SYSTEMS UNDER INTEGRAL CONSTRAINTS
... of control systems were investigated in many works (see, for example [2, 4, 7, 9– 12, 14, 15, ...the control it is known (see, for example, [13]) that the control, which steers the trajectory to the ...
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Numerical Analysis of Electromagnetic Control of the Boundary Layer Flow on a Ship Hull
... Mainly three different force configurations have been investigated in order to control turbulent boundary lay- ers: wall parallel streamwise, wall parallel spanwise and nominally wall normal forces. Wall ...
9
Semi-discrétisation en espace du problème de la stabilisation interne de l'équation des poutres
... Abstract. We consider the finite-difference space semi-discretization of the beam equation with an internal stabilization. By using a frequency domain approach, we prove that this scheme yields a uniform exponential ...
9