• Stochastic control or stochastic optimal control is a sub field of control theory that deals with the existence of uncertainty either in observations or...
    12 KB (1,683 words) - 09:57, 3 March 2023
  • various applications such as stochastic control, mathematical finance, and nonlinear Feynman-Kac formulae. Backward stochastic differential equations were...
    5 KB (613 words) - 04:59, 19 July 2024
  • Hamilton–Jacobi–Bellman equation (category Stochastic control)
    Optimal Control. Athena Scientific. Pham, Huyên (2009). "The Classical PDE Approach to Dynamic Programming". Continuous-time Stochastic Control and Optimization...
    14 KB (2,050 words) - 17:50, 26 April 2024
  • Thumbnail for Stochastic process
    In probability theory and related fields, a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a sequence of random...
    162 KB (17,919 words) - 13:01, 18 August 2024
  • Stochastic (/stəˈkæstɪk/; from Ancient Greek στόχος (stókhos) 'aim, guess') is the property of being well-described by a random probability distribution...
    28 KB (3,333 words) - 11:59, 18 August 2024
  • one of the fundamental principles of stochastic control theory, which states that the problems of optimal control and state estimation can be decoupled...
    25 KB (4,925 words) - 05:30, 28 March 2023
  • Stochastic gradient descent (often abbreviated SGD) is an iterative method for optimizing an objective function with suitable smoothness properties (e...
    50 KB (6,585 words) - 03:30, 12 August 2024
  • In control theory, robust control is an approach to controller design that explicitly deals with uncertainty. Robust control methods are designed to function...
    8 KB (1,024 words) - 04:51, 31 July 2024
  • small modeling errors. Stochastic control deals with control design with uncertainty in the model. In typical stochastic control problems, it is assumed...
    45 KB (6,461 words) - 20:40, 7 June 2024
  • Stationary process Stochastic calculus Itô calculus Malliavin calculus Semimartingale Stratonovich integral Stochastic control Stochastic differential equation...
    5 KB (407 words) - 21:21, 25 August 2023
  • separation principle is a special case of the separation principle of stochastic control which states that even when the process and output noise sources are...
    16 KB (2,791 words) - 14:15, 8 July 2024
  • Merton's portfolio problem (category Stochastic control)
    solved by Davis and Norman in 1990. It is one of the few cases of stochastic singular control where the solution is known. For a graphical representation,...
    11 KB (1,531 words) - 19:51, 24 August 2024
  • Stochastic optimization (SO) are optimization methods that generate and use random variables. For stochastic optimization problems, the objective functions...
    12 KB (1,068 words) - 01:33, 5 August 2024
  • Markov decision process (category Stochastic control)
    Markov decision process (MDP), also called a stochastic dynamic program or stochastic control problem, is a model for sequential decision making when outcomes...
    35 KB (5,214 words) - 11:52, 24 August 2024
  • approaches used in stochastic control theory. Regrettably the simple adaptation of the deterministic schemes for matching up to stochastic models such as...
    2 KB (225 words) - 13:20, 20 June 2017
  • Separation principle (category Stochastic control)
    controller designed to minimize a quadratic cost, is optimal for the stochastic control problem with output measurements. When process and observation noise...
    5 KB (687 words) - 12:26, 25 July 2023
  • Stochastic control Total quality management Barlow & Irony 1992 Bergman 2009 Zabell 1992 Deming, W. Edwards (1952). Lectures on statistical control of...
    19 KB (2,442 words) - 21:15, 5 July 2024
  • Thumbnail for Optimal control
    Sliding mode control SNOPT Stochastic control Trajectory optimization Ross, Isaac (2015). A primer on Pontryagin's principle in optimal control. San Francisco:...
    32 KB (4,711 words) - 04:55, 19 August 2024
  • stochastic dynamic programming is a technique for modelling and solving problems of decision making under uncertainty. Closely related to stochastic programming...
    23 KB (5,371 words) - 15:23, 21 March 2024
  • Thumbnail for Loss function
    because it results in linear first-order conditions. In the context of stochastic control, the expected value of the quadratic form is used. The quadratic loss...
    21 KB (2,796 words) - 18:32, 12 August 2024
  • Intelligent control Optimal control Dynamic programming Robust control Stochastic control System dynamics, system analysis Takens' theorem Exponential dichotomy...
    5 KB (413 words) - 14:04, 5 April 2022
  • Partially observable Markov decision process (category Stochastic control)
    Cassandra, A.R. (1998). "Planning and acting in partially observable stochastic domains". Artificial Intelligence. 101 (1–2): 99–134. doi:10.1016/S0004-3702(98)00023-X...
    22 KB (3,309 words) - 00:39, 23 July 2024
  • Markov decision process Optional stopping theorem Prophet inequality Stochastic control Chow, Y.S.; Robbins, H.; Siegmund, D. (1971). Great Expectations:...
    15 KB (2,545 words) - 09:15, 19 April 2024
  • In the theory of stochastic processes, filtering describes the problem of determining the state of a system from an incomplete and potentially noisy set...
    13 KB (2,142 words) - 20:36, 4 July 2024
  • A stochastic differential equation (SDE) is a differential equation in which one or more of the terms is a stochastic process, resulting in a solution...
    36 KB (5,616 words) - 15:19, 12 July 2024
  • Stochastic resonance (SR) is a phenomenon in which a signal that is normally too weak to be detected by a sensor can be boosted by adding white noise to...
    18 KB (2,150 words) - 05:05, 31 July 2024
  • solutions using concepts from several control areas such as robust control, optimal stochastic control, model predictive control, fuzzy logic etc. A most critical...
    8 KB (970 words) - 04:20, 5 July 2023
  • populations. It lies at the intersection of game theory with stochastic analysis and control theory. The use of the term "mean field" is inspired by mean-field...
    16 KB (2,417 words) - 22:09, 4 July 2024
  • Thumbnail for Witsenhausen's counterexample
    Witsenhausen's counterexample (category Stochastic control)
    figure below, is a deceptively simple toy problem in decentralized stochastic control. It was formulated by Hans Witsenhausen in 1968. It is a counterexample...
    9 KB (1,325 words) - 07:58, 18 July 2024
  • In mathematics, a stochastic matrix is a square matrix used to describe the transitions of a Markov chain. Each of its entries is a nonnegative real number...
    18 KB (2,726 words) - 09:29, 27 June 2024