Faster access than browser!
53 relations: APMonitor, ASTOS, Bellman equation, Bellman pseudospectral method, Boundary value problem, Brachistochrone curve, Calculus of variations, Collocation method, Constraint (mathematics), Control theory, Controllability, DIDO (software), Differential equation, Digital data, Discrete time and continuous time, DNSS point, Dynamic programming, Dynamical system, Edward J. McShane, Fortran, Free energy principle, Function (mathematics), Gauss pseudospectral method, Generalized filtering, GPOPS-II, Hamilton–Jacobi–Bellman equation, Hamiltonian (control theory), Hamiltonian system, Initial condition, JModelica.org, Kalman filter, Lagrange multiplier, Lev Pontryagin, Linear–quadratic regulator, Mathematical optimization, MATLAB, Matrix (mathematics), Model predictive control, Necessity and sufficiency, Optimality criterion, Pontryagin's maximum principle, PROPT, Pseudospectral optimal control, Pursuit-evasion, Riccati equation, Richard E. Bellman, Rudolf E. Kálmán, Shadow price, Sliding mode control, SNOPT, ..., Stochastic control, TOMLAB, Trajectory optimization. Expand index (3 more) »
APMonitor
Advanced process monitor (APMonitor), is a modeling language for differential algebraic (DAE) equations.
New!!: Optimal control and APMonitor · See more »
ASTOS
ASTOS is a tool dedicated to mission analysis, Trajectory optimization, vehicle design and simulation for space scenarios, i.e. launch, re-entry missions, orbit transfers, Earth observation, navigation, coverage and re-entry safety assessments.
New!!: Optimal control and ASTOS · See more »
Bellman equation
A Bellman equation, named after Richard E. Bellman, is a necessary condition for optimality associated with the mathematical optimization method known as dynamic programming.
New!!: Optimal control and Bellman equation · See more »
Bellman pseudospectral method
The Bellman pseudospectral method is a pseudospectral method for optimal control based on Bellman's principle of optimality.
New!!: Optimal control and Bellman pseudospectral method · See more »
Boundary value problem
In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional constraints, called the boundary conditions.
New!!: Optimal control and Boundary value problem · See more »
Brachistochrone curve
In mathematics and physics, a brachistochrone curve, or curve of fastest descent, is the one lying on plane between a point A and a lower point B, where B is not directly below A, on which a bead slides frictionlessly under the influence of a uniform gravitational field to a given end point in the shortest time.
New!!: Optimal control and Brachistochrone curve · See more »
Calculus of variations
Calculus of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real numbers.
New!!: Optimal control and Calculus of variations · See more »
Collocation method
In mathematics, a collocation method is a method for the numerical solution of ordinary differential equations, partial differential equations and integral equations.
New!!: Optimal control and Collocation method · See more »
Constraint (mathematics)
In mathematics, a constraint is a condition of an optimization problem that the solution must satisfy.
New!!: Optimal control and Constraint (mathematics) · See more »
Control theory
Control theory in control systems engineering deals with the control of continuously operating dynamical systems in engineered processes and machines.
New!!: Optimal control and Control theory · See more »
Controllability
Controllability is an important property of a control system, and the controllability property plays a crucial role in many control problems, such as stabilization of unstable systems by feedback, or optimal control.
New!!: Optimal control and Controllability · See more »
DIDO (software)
DIDO is a software product for solving general-purpose optimal control problems.
New!!: Optimal control and DIDO (software) · See more »
Differential equation
A differential equation is a mathematical equation that relates some function with its derivatives.
New!!: Optimal control and Differential equation · See more »
Digital data
Digital data, in information theory and information systems, is the discrete, discontinuous representation of information or works.
New!!: Optimal control and Digital data · See more »
Discrete time and continuous time
In mathematics and in particular mathematical dynamics, discrete time and continuous time are two alternative frameworks within which to model variables that evolve over time.
New!!: Optimal control and Discrete time and continuous time · See more »
DNSS point
DNSS points, also known as Skiba points, arise in optimal control problems that exhibit multiple optimal solutions.
New!!: Optimal control and DNSS point · See more »
Dynamic programming
Dynamic programming is both a mathematical optimization method and a computer programming method.
New!!: Optimal control and Dynamic programming · See more »
Dynamical system
In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in a geometrical space.
New!!: Optimal control and Dynamical system · See more »
Edward J. McShane
Edward James McShane (May 10, 1904 – June 1, 1989) was an American mathematician noted for his advancements of the calculus of variations, integration theory, stochastic calculus, and exterior ballistics.
New!!: Optimal control and Edward J. McShane · See more »
Fortran
Fortran (formerly FORTRAN, derived from Formula Translation) is a general-purpose, compiled imperative programming language that is especially suited to numeric computation and scientific computing.
New!!: Optimal control and Fortran · See more »
Free energy principle
The free energy principle tries to explain how (biological) systems maintain their order (non-equilibrium steady-state) by restricting themselves to a limited number of states.
New!!: Optimal control and Free energy principle · See more »
Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
New!!: Optimal control and Function (mathematics) · See more »
Gauss pseudospectral method
The Gauss pseudospectral method (GPM), one of many topics named after Carl Friedrich Gauss, is a direct transcription method for discretizing a continuous optimal control problem into a nonlinear program (NLP).
New!!: Optimal control and Gauss pseudospectral method · See more »
Generalized filtering
Generalized filtering is a generic Bayesian filtering scheme for nonlinear state-space models.
New!!: Optimal control and Generalized filtering · See more »
GPOPS-II
GPOPS-II (pronounced "GPOPS 2") is a general-purpose MATLAB software for solving continuous optimal control problems using hp-adaptive Gaussian quadrature collocation and sparse nonlinear programming.
New!!: Optimal control and GPOPS-II · See more »
Hamilton–Jacobi–Bellman equation
The Hamilton–Jacobi–Bellman (HJB) equation is a partial differential equation which is central to optimal control theory.
New!!: Optimal control and Hamilton–Jacobi–Bellman equation · See more »
Hamiltonian (control theory)
The Hamiltonian of optimal control theory was developed by Lev Pontryagin as part of his maximum principle.
New!!: Optimal control and Hamiltonian (control theory) · See more »
Hamiltonian system
A Hamiltonian system is a dynamical system governed by Hamilton's equations.
New!!: Optimal control and Hamiltonian system · See more »
Initial condition
In mathematics and particularly in dynamic systems, an initial condition, in some contexts called a seed value, is a value of an evolving variable at some point in time designated as the initial time (typically denoted t.
New!!: Optimal control and Initial condition · See more »
JModelica.org
JModelica.org is a free and open source software platform based on the Modelica modeling language for modeling, simulating, optimizing and analyzing complex dynamic systems.
New!!: Optimal control and JModelica.org · See more »
Kalman filter
Kalman filtering, also known as linear quadratic estimation (LQE), is an algorithm that uses a series of measurements observed over time, containing statistical noise and other inaccuracies, and produces estimates of unknown variables that tend to be more accurate than those based on a single measurement alone, by estimating a joint probability distribution over the variables for each timeframe.
New!!: Optimal control and Kalman filter · See more »
Lagrange multiplier
In mathematical optimization, the method of Lagrange multipliers (named after Joseph-Louis Lagrange) is a strategy for finding the local maxima and minima of a function subject to equality constraints (i.e., subject to the condition that one or more equations have to be satisfied exactly by the chosen values of the variables).
New!!: Optimal control and Lagrange multiplier · See more »
Lev Pontryagin
Lev Semyonovich Pontryagin (Лев Семёнович Понтрягин, also written Pontriagin or Pontrjagin) (3 September 1908 – 3 May 1988) was a Soviet mathematician.
New!!: Optimal control and Lev Pontryagin · See more »
Linear–quadratic regulator
The theory of optimal control is concerned with operating a dynamic system at minimum cost.
New!!: Optimal control and Linear–quadratic regulator · See more »
Mathematical optimization
In mathematics, computer science and operations research, mathematical optimization or mathematical programming, alternatively spelled optimisation, is the selection of a best element (with regard to some criterion) from some set of available alternatives.
New!!: Optimal control and Mathematical optimization · See more »
MATLAB
MATLAB (matrix laboratory) is a multi-paradigm numerical computing environment and proprietary programming language developed by MathWorks.
New!!: Optimal control and MATLAB · See more »
Matrix (mathematics)
In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
New!!: Optimal control and Matrix (mathematics) · See more »
Model predictive control
Model predictive control (MPC) is an advanced method of process control that is used to control a process while satisfying a set of constraints.
New!!: Optimal control and Model predictive control · See more »
Necessity and sufficiency
In logic, necessity and sufficiency are terms used to describe an implicational relationship between statements.
New!!: Optimal control and Necessity and sufficiency · See more »
Optimality criterion
In statistics, an optimality criterion provides a measure of the fit of the data to a given hypothesis, to aid in model selection.
New!!: Optimal control and Optimality criterion · See more »
Pontryagin's maximum principle
Pontryagin's maximum (or minimum) principle is used in optimal control theory to find the best possible control for taking a dynamical system from one state to another, especially in the presence of constraints for the state or input controls.
New!!: Optimal control and Pontryagin's maximum principle · See more »
PROPT
The PROPT MATLAB Optimal Control Software is a new generation platform for solving applied optimal control (with ODE or DAE formulation) and parameters estimation problems.
New!!: Optimal control and PROPT · See more »
Pseudospectral optimal control
Pseudospectral optimal control is a joint theoretical-computational method for solving optimal control problems.
New!!: Optimal control and Pseudospectral optimal control · See more »
Pursuit-evasion
Pursuit-evasion (variants of which are referred to as cops and robbers and graph searching) is a family of problems in mathematics and computer science in which one group attempts to track down members of another group in an environment.
New!!: Optimal control and Pursuit-evasion · See more »
Riccati equation
In mathematics, a Riccati equation in the narrowest sense is any first-order ordinary differential equation that is quadratic in the unknown function.
New!!: Optimal control and Riccati equation · See more »
Richard E. Bellman
Richard Ernest Bellman (August 26, 1920 – March 19, 1984) was an American applied mathematician, who introduced dynamic programming in 1953, and important contributions in other fields of mathematics.
New!!: Optimal control and Richard E. Bellman · See more »
Rudolf E. Kálmán
Rudolf Emil Kálmán (Kálmán Rudolf Emil; May 19, 1930 – July 2, 2016) was a Hungarian-born American electrical engineer, mathematician, and inventor.
New!!: Optimal control and Rudolf E. Kálmán · See more »
Shadow price
A shadow price is commonly referred to as a monetary value assigned to currently unknowable or difficult-to-calculate costs.
New!!: Optimal control and Shadow price · See more »
Sliding mode control
In control systems, sliding mode control, or SMC, is a nonlinear control method that alters the dynamics of a nonlinear system by application of a discontinuous control signal (or more rigorously, a set-valued control signal) that forces the system to "slide" along a cross-section of the system's normal behavior.
New!!: Optimal control and Sliding mode control · See more »
SNOPT
SNOPT, for Sparse Nonlinear OPTimizer, is a software package for solving large-scale nonlinear optimization problems written by Philip Gill, Walter Murray and Michael Saunders.
New!!: Optimal control and SNOPT · See more »
Stochastic control
Stochastic control or stochastic optimal control is a subfield of control theory that deals with the existence of uncertainty either in observations or in the noise that drives the evolution of the system.
New!!: Optimal control and Stochastic control · See more »
TOMLAB
The TOMLAB Optimization Environment is a modeling platform for solving applied optimization problems in MATLAB.
New!!: Optimal control and TOMLAB · See more »
Trajectory optimization
Trajectory optimization is the process of designing a trajectory that minimizes (or maximizes) some measure of performance while satisfying a set of constraints.
New!!: Optimal control and Trajectory optimization · See more »
Redirects here:
Control law, Mathematical theory of optimal control, Optimal Control, Optimal Control Theory, Optimal Control theory, Optimal control (linear systems), Optimal control Theory, Optimal control theory, Optimal controller.
References
[1] https://en.wikipedia.org/wiki/Optimal_control
