[PDF] Top 20 The Cost Functional and Its Gradient in Optimal Boundary Control Problem for Parabolic Systems
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The Cost Functional and Its Gradient in Optimal Boundary Control Problem for Parabolic Systems
... the problem is the same as the unconstrained minimum, ...programming problem will not be, in general, an extreme point of the feasible region and may not even be on the ...the problem may have local ... See full document
12
A Computational Method for Solving Optimal Control Problem of Time-varying Singular Systems Using the Haar Wavelets
... solving optimal control of time-varying linear singular systems with a quadratic cost ...and control variable u(t) are expanded in the rationalized Haar functions with unknown ... See full document
9
Some Numerical Results on Function Space (Fsa) Algorithms
... penalized cost functional for optimal control problem characterized by linear system integral quadratic cost due to Di pillo et al (1) though falling within the framework of ... See full document
14
Optimal control of a computer virus model with network attacks
... the optimal control ...objective functional for optimizing the control cost and effect is ...the gradient of the optimal control problem is ... See full document
13
Optimal control based on nonlinear conjugate gradient method in cardiac electrophysiology
... physical systems, and may be defined as the science of determining the best solution among all feasible solutions for a certain mathematical ...optimization problem consists of three basic elements; the ... See full document
46
On a Neumann boundary control in a parabolic system
... Up to now we have seen that if a minimizing sequence is found then the limit of this sequence will be the solution of optimal control problem. In this section, we investigate how we can get this ... See full document
16
Duality in the optimal control for damped hyperbolic systems with positive control
... introduced optimal control problems of the va- riety of distributed parameter systems, for example, elliptic, parabolic, and ...state systems are given cost functional and ... See full document
12
Homogenization of an Optimal Control Problem in Fixed Domains
... of optimal control problems governed by a linear elliptic equation with linear Robin boundary condition on perforated domains via PUM by considering two types of cost functionals, the reader ... See full document
5
Proximal Methods for Elliptic Optimal Control Problems with Sparsity Cost Functional
... However, the exact inversion of a discretized elliptic differential operator A may become too expensive. Therefore one has to use iterative methods; e.g., the conjugate gradient method [23]. For this reason, we ... See full document
26
A Consecutive Quasilinearization Method for the Optimal Boundary Control of Semilinear Parabolic Equations
... the optimal boundary control problems with quadrat- ic objective of tracking type and a semilinear parabolic equation with mixed boundary as the state constraint; ...the control ... See full document
16
An Iterative Non-overlapping Domain Decomposition Method for Optimal Boundary Control Problems Governed by Parabolic Equations
... by optimal control problems governed by partial differential ...of optimal control problems governed by ...the optimal control problem governed by PDEs, an effective one ... See full document
7
Boundary gradient exact enlarged controllability of semilinear parabolic problems
... to control a state only on a subregion ω of ...the boundary ∂ Ω of the evolution domain Ω ...regional gradient con- trollability and regional enlarged controllability were introduced and developed ... See full document
6
A fast gradient projection algorithm for time fractional optimal control problem
... and optimal control problem governed by in- teger order differential equations, the research for fractional diffusion optimal control problem is still immature and only a few ... See full document
15
Optimal Control And Problem With Linear Quadratic Cost Function
... quadratic optimal control ...Quadratic optimal control and introduce the riccati differential equation and riccati algebraic ...and functional and some variational ...the optimal ... See full document
5
An estimate on the thickness of boundary layer for nonlinear evolution equations with damping and diffusion
... of boundary layers is one of the most fundamental and important issues in fluid dynamics ...of boundary layers for the Navier-Stokes equations; see for instance [, –] and the references ...the ... See full document
7
The Initial Boundary Value Problem of a Parabolic System
... Some authors have studied the global finiteness of the solutions[3,4] and blow up properties of the solutions[9] with various boundary conditions to the equations and systems of evolutionary Laplacian ... See full document
6
Global and blow up solutions for quasilinear parabolic equations with a gradient term and nonlinear boundary flux
... subject to the homogeneous Dirichlet boundary condition. By using the comparison prin- ciple and constructing a self-similar lower solution, they obtained sufficient conditions for global existence and blow-up ... See full document
10
On Solvability of the Nonlinear Optimal Control Problem for Processes Described by the Semi-linear Parabolic Equations
... the optimal control u t 0 ...processes optimal control problems, described by semi- linear parabolic equations, there occurs a peculiar new problem ...This problem is ... See full document
6
On the Inverse Problem of Dupire’s Equation with Nonlocal Boundary and Integral Conditions
... DOI: 10.4236/jmf.2017.74051 940 Journal of Mathematical Finance dary and Integral Conditions has been examined. In the theoretical, the condi- tions for the existence, uniqueness and continuous dependence on the data of ... See full document
7
A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state
... the gradient of the state ...to its destruction, or, in solid mechanics, the deformation gradient determines the change between elastic and plastic material ...the gradient of the ... See full document
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