
Summary: Several methods exist for converting optimal control problems into parameter optimization problems, and they are categorized by the unknowns of the parameter optimization problem, the numerical integration technique, and the order of the integration technique. Conversion of optimal control problems into parameter optimization problems is accomplished by replacing the control and/or state histories by control and/or state parameters and forming the histories by interpolation. Four general classes of methods exist, and the unknowns in each class are 1) control parameters, 2) control parameters and some state parameters, 3) control parameters and state parameters, and 4) state parameters. In methods of classes 1 and 2, the state differential equations are integrated by explicit numerical integration, and in methods of classes 3 and 4, implicit numerical integration is used. All orders of numerical integration can used in each method.
Applications of mathematical programming, Numerical mathematical programming methods, Nonlinear programming, Pursuit and evasion games, Sensitivity, stability, parametric optimization, optimal control problems, parameter optimization, Differential games and control
Applications of mathematical programming, Numerical mathematical programming methods, Nonlinear programming, Pursuit and evasion games, Sensitivity, stability, parametric optimization, optimal control problems, parameter optimization, Differential games and control
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 266 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 1% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 0.1% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
