[PDF] Top 20 Iterative Solution Methods for a Class of State and Control Constrained Optimal Control Problems
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Iterative Solution Methods for a Class of State and Control Constrained Optimal Control Problems
... Iterative methods for solving discrete optimal control problems are constructed and ...the optimal control problems which contain a linear elliptic boundary value ... See full document
6
A posteriori error estimates of mixed finite element solutions for fourth order parabolic control problems
... that optimal control problems governed by partial differential equations (PDEs, for short) play a great role in modern science, technology, engineering and so ...various optimal control ... See full document
20
Numerical Methods for Optimal Control Problems with Application to Autonomous Vehicles
... bang problems, but give some inaccuracies when the control is for example a line or a ...correct solution, but it can not give a precise solution because of the shape of the control, ... See full document
197
A necessary and sufficient condition for non smooth linear state optimal control problems
... x(θ) in the solution to (P). Jullien’s Theorem, however, uses the stronger hypothesis that S(·) is twice continuously differentiable. Our technical contribution is to weaken these hypotheses to requirements of ... See full document
10
Numerical Solution of a Class of Nonlinear Optimal Control Problems Using Linearization and Discretization
... to control variables. In such sys- tems, multiple shooting methods [1-4] do not dealing with the problem in a correct ...discretization methods are the major basis of them, if a complicated function ... See full document
7
Fireman Numerical Solution of Some Existing Optimal Control Problems
... unique solution, x(t). If there are a priori bounds on the values of the state variables, only those control functions will be admissible which give rise to state functions x(t) satisfying the ... See full document
14
A numerical scheme for constrained optimal control problems
... Optimal control theory is an important area of applied mathematics that was introduced by Pontryagin and collaborators in the ...1950s.Optimal control theory has already found applications in many ... See full document
6
Two numerical methods for nonlinear constrained quadratic optimal control problems using linear B-spline functions
... In an indirect method, the calculus of variations [14, 24] is used to de- termine the first-order optimality conditions of the original optimal control problem. The indirect approach leads to a ... See full document
22
State-constrained optimal control of phase-field equations with obstacle
... System (.) is a simplified model for a class of solid-liquid phase change problems. In the context of solid-liquid phase transitions, v and u represent the absolute temperature and the order parameter ... See full document
13
Impulsively-controlled systems and reverse dwell time: A linear programming approach
... exact solution in polynomial time for a class of optimal impulse control problems with uni- formly distributed impulse instants and governed by so-called reverse dwell time ...real-time ... See full document
26
Iterative Solution of Mesh Constrained Optimal Control Problems with Two Level Mesh Approximations of Parabolic State Equation
... the iterative methods for parabolic optimal control problems include the solution of the parabolic equation and corresponding ad- joint parabolic equation at each iteration and ... See full document
11
Legendre Approximation for Solving a Class of Nonlinear Optimal Control Problems
... Optimal control theory is widely applied in aerospace, engineering, economics and other areas of science and has received considerable attention of ...computational methods for gene- rating solutions ... See full document
6
Integrating Hamiltonian systems defined on the Lie groups SO(4) and SO(1,3)
... Affine control systems defined on finite-dimensional Lie groups form an important class of nonholonomic system and provide a mathematically rich setting for studying kinematic control systems [1], ... See full document
8
Interval structure of Runge-Kutta methods for solving optimal control problems with uncertainties
... the optimal control problems with uncertain-but-bounded parameters ...interval optimal control and state vector of the optimal control problems with interval ... See full document
17
An Iterative method for Solving the Container Crane Constrained Optimal Control Problem Using Chebyshev Polynomials
... solving constrained nonlinear optimal control problems is presented with an application to the container ...al. iterative approach, in which the nonlinear system state equations ... See full document
8
Optimisation with PDE Constraints (OPTPDE)
... to optimal control problems for PDEs without and with constraints on the state and the con- ...efficient iterative solvers for such kinds of problems have been suggested such as ... See full document
8
Error analysis of variational discretization solving temperature control problems
... a constrained optimal control problem, the control has lower regularity than the state and the adjoint ...the state and the adjoint state and using piecewise constant ... See full document
15
A Novel Successive Approximation Method for Solving a Class of Optimal Control Problems
... approximate solution for linear and non-linear quadratic OCP’s using the homotopy perturbation method ...two methods give accurate results, they suffer from a root-finding subroutine and then solving a ... See full document
13
A direct probabilistic global search method for the solution of constrained optimal control problems
... the optimal control for multimodal control problems is to localize a globally optimum control among many locally optimum ...This class of problems have already been ... See full document
44
Optimal control problems for hyperbolic equations with damping terms involving p Laplacian
... The plan of this paper is as follows. In Section , the main results besides notations and assumptions are stated. In Section , we show the existence of an optimal control u ∈ U which minimizes the ... See full document
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