[PDF] Top 20 On a kind of time optimal control problem of the heat equation
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On a kind of time optimal control problem of the heat equation
... The reader can also refer to [19–21] for the equivalence of three kinds of optimal control problems. For some other interesting work, we refer the reader to [22–24]. The approxi- mate controllability of ... See full document
10
Some optimal control problems of heat equations with weighted controls
... the time and norm optimal control problems of heat equations with a weight ...two kind time optimal control problems: one is for equations with multi-domain ... See full document
16
ENHANCED PLANTED(ℓ,D) MOTIF SEARCH PRUNE ALGORITHM FOR PARALLEL ENVIRONMENT
... Riemann-Liouville integral operator. [3] developed a method for finding formal solution of certain Fredholm fractional singular integral equations of second kind, analytic solution of the time fractional ... See full document
8
Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets
... By the linear combinations and translations of Proposition 1.3, { ( θ x − ξ , ) t − θ ( x + ξ , )} ( ) t f ξ is a solution of the heat equation. So according to integrate with respect to a parameter u x t 1 ... See full document
8
The optimal control problem with necessity condition for a viscous shallow water equation
... where u(t, x) is the fluid velocity at time t in x direction and k is a constant related to the critical shallow water wave speed. They established the local well-posedness for the Cauchy problem of Eq. ... See full document
16
Approximate Riccati Equation and Its Application to Optimal Control in Discrete-Time Systems
... Based on this classical LQ regulator problem, we propose the notion of approximate LQ regulator problem. Consider again the state space matrix equation and the output ma- trix equation of (1) ... See full document
5
Chebyshev pseudo-spectral method for optimal control problem of Burgers’ equation
... solving optimal control problems governed by Burgers’ ...specially optimal control ...original optimal control problem is first reduced to a system of partial differential ... See full document
26
Numerical Solution of an Optimal Control Problem Governed by Two Dimensional Schrodinger Equation
... an optimal control problem controlled by two functions which are in the coefficients of two-dimensional Schrodinger ...without time-step condition, the solution of considered equation ... See full document
9
Optimal control of the propagation of a graph in inhomogeneous media
... state equation, and δ ≥ ...state equation is well ...related problem involving a stationary eikonal equation for the first arrival time of a front was studied numerically in ...the ... See full document
19
A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation
... inverse problem is not well posed in general while the direct problem is well ...inverse problem are discussed in [4, 6, 13, 15, 17, ...this problem and similar problems are ...the ... See full document
13
A fast gradient projection algorithm for time fractional optimal control problem
... on time variable. The coefficient matrix for the discrete state equation and adjoint state equation is a block lower triangular Toeplitz-like with tri-diagonal block(BT3LB-like) matrix, where the ... See full document
15
Optimal Fuzzy Control with Application to Discounted Cost Production Inventory Planning Problem
... of optimal control problems involve the control of dynamic systems that evolve over time either continuous-time systems or discrete-time ...stochastic optimal ... See full document
5
A Single Convergent Control Parameter Optimal Homotopy Asymptotic Method Approximate-Analytical Solution of Fuzzy Heat Equation
... convergent control parameter to obtain the solution to FHE, figure ...computational time, which is very helpful for solving FPDEs in scientific and engineering ... See full document
6
Maximum principle for a stochastic delayed system involving terminal state constraints
... a time-delayed BSDE, so the adjoint equation of the time-delayed BSDE via duality relation is an anticipated ...the optimal control process can be solved by the obtained optimal ... See full document
16
An inverse time-dependent source problem for the heat equation with a non-classical boundary condition
... Finally, although not illustrated, it is reported that for both Examples 1 and 2 we have experienced with other values of λ close to the optimal ones but there was not much significant difference obtained in ... See full document
21
Iterative Solution of Mesh Constrained Optimal Control Problems with Two Level Mesh Approximations of Parabolic State Equation
... parabolic optimal control problems include the solution of the parabolic equation and corresponding ad- joint parabolic equation at each iteration and this is the most time consuming ... See full document
11
On viscosity solution of Hamilton-Jacobi-Belman equations
... an optimal control problem governed by a state equation which involves evolution ...through time-dependent maximal monotone operators and the control variable runs in a suitable ... See full document
8
Constrained Wiener Processes and Their Financial Applications
... The extrema of Wiener processes are relevant to the pricing of so-called exot- ic options, which have many financial applications. The probability densities of such extrema are well known for one dimensional Wiener ... See full document
20
Some Applications of Optimal Control in Sustainable Fishing in the Baltic Sea
... the optimal value of the control vector as a function of the time and the current ...the optimal control vector derived via the necessary conditions is called ... See full document
12
The Effect of Heat Treatment on the Stability of Centerline Segregation
... The paper deals with the stability of centerline inhomogenity of the continuously cast slabs. The pattern of the centerline segregation was modeled physically by preparing a sandwich structure of steel plates with ... See full document
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