Stochastic maximum principle in the mean-field controls

From MaRDI portal
Publication:1941259

DOI10.1016/j.automatica.2011.11.006zbMath1260.93176OpenAlexW2022384100MaRDI QIDQ1941259

Juan Li

Publication date: 12 March 2013

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2011.11.006




Related Items (78)

Linear-quadratic mean-field type Stackelberg differential games for stochastic jump-diffusion systemsA varying terminal time mean-variance modelOn stochastic maximum principle for risk-sensitive of fully coupled forward-backward stochastic control of mean-field type with applicationMean-field stochastic linear-quadratic optimal control with Markov jump parametersStochastic maximum principle for mean-field forward-backward stochastic control system with terminal state constraintsA General Stochastic Maximum Principle for a Markov Regime Switching Jump-Diffusion Model of Mean-Field TypeOptimal vaccination strategy for a mean-field stochastic susceptible-infected-vaccinated systemSpectral criteria to stability and observability of mean-field stochastic periodic systemsExtended mean-field control problem with partial observationMean-field forward and backward SDEs with jumps and associated nonlocal quasi-linear integral-PDEsMaximum principle for discrete-time stochastic control problem of mean-field typeInfinite horizon optimal control problem of mean-field backward stochastic delay differential equation under partial informationMean-field-type games with jump and regime switchingMaximum principle for delayed stochastic mean-field control problem with state constraintMaximum principle for mean-field zero-sum stochastic differential game with partial information and its application to financeDynamic optimization problems for mean-field stochastic large-population systemsAn explicit second-order numerical scheme for mean-field forward backward stochastic differential equationsStochastic maximum principle for systems driven by local martingales with spatial parametersThe maximum principle for a jump-diffusion mean-field model and its application to the mean-variance problemInfinite horizon optimal control of mean-field forward-backward delayed systems with Poisson jumpsA general maximum principle for mean-field forward-backward doubly stochastic differential equations with jumps processesMaximum principle for mean-field SDEs under model uncertaintyInfinite horizon optimal control of mean-field delay system with semi-Markov modulated jump-diffusion processesStochastic maximum principle for recursive optimal control problems with varying terminal timeA stochastic maximum principle for a stochastic differential game of a mean-field typePartially observed risk-sensitive stochastic control problems with non-convexity restrictionRisk-sensitive mean-field-type games with \(L^p\)-norm driftsRisk‐sensitive maximum principle for stochastic optimal control of mean‐field type Markov regime‐switching jump‐diffusion systemsDiscrete-time mean-field stochastic linear-quadratic optimal control problems. II: Infinite horizon caseStochastic maximum principle for weighted mean-field systemNumerical schemes for fully coupled mean-field forward backward stochastic differential equationsControlled mean-field backward stochastic differential equations with jumps involving the value functionLinear-Quadratic Optimal Control Problem for Partially Observed Forward-Backward Stochastic Differential Equations of Mean-Field TypeLeader-follower stochastic differential game with asymmetric information and applicationsDiscrete-time mean-field stochastic \(H_2/H_\infty\) controlOn optimal mean-field control problem of mean-field forward-backward stochastic system with jumps under partial informationLinear quadratic leader-follower stochastic differential games for mean-field switching diffusionsStochastic Maximum Principle for Subdiffusions and Its ApplicationsLinear-quadratic mean field stochastic zero-sum differential gamesA stochastic maximum principle for switching diffusions using conditional mean-fields with applications to control problemsA second-order stochastic maximum principle for generalized mean-field singular control problemMaximum principle for mean-field jump-diffusion stochastic delay differential equations and its application to financeMean-field backward stochastic evolution equations in Hilbert spaces and optimal control for BSPDEsUnnamed ItemThe relaxed optimal control problem for mean-field SDEs systems and applicationOptimal control of mean-field jump-diffusion systems with noisy memoryBackward stochastic differential equations coupled with value function and related optimal control problemsFully coupled mean-field forward-backward stochastic differential equations and stochastic maximum principleOptimal control of mean-field jump-diffusion systems with delay: a stochastic maximum principle approachA general stochastic maximum principle for mean-field controls with regime switchingOn the relaxed mean-field stochastic control problemA nonhomogeneous mean-field linear-quadratic optimal control problem and applicationMaximum principle for partially observed risk-sensitive optimal control problems of mean-field typeStochastic maximum principle of mean-field jump-diffusion systems with mixed delaysOn near-optimal mean-field stochastic singular controls: necessary and sufficient conditions for near-optimalityA mean-field necessary and sufficient conditions for optimal singular stochastic controlForward and backward mean-field stochastic partial differential equation and optimal controlReflected mean-field backward stochastic differential equations. Approximation and associated nonlinear PDEsPartial derivative with respect to the measure and its application to general controlled mean-field systemsLinear‐Quadratic Optimal Control Problems for Mean‐Field Stochastic Differential Equations with JumpsStochastic \(H_2/H_\infty\) control for discrete-time mean-field systems with Poisson jumpRisk-Sensitive Mean-Field Type Control Under Partial ObservationNecessary and Sufficient Near-Optimal Conditions for Mean-Field Singular Stochastic ControlsOutput FeedbackHControl for Discrete-time Mean-field Stochastic SystemsMean-field linear-quadratic stochastic differential games in an infinite horizonOptimal control of mean-field backward doubly stochastic systems driven by Itô-Lévy processesMean-field, infinite horizon, optimal control of nonlinear stochastic delay system governed by Teugels martingales associated with Lévy processesSolvability and optimal stabilization controls of discrete-time mean-field stochastic system with infinite horizonMaximum principle for near-optimality of mean-field FBSDEsCharacterizations of equilibrium controls in time inconsistent mean-field stochastic linear quadratic problems. ILinear-quadratic optimal control problems for mean-field stochastic differential equation with Lévy processNecessary and sufficient conditions in optimal control of mean-field stochastic differential equations with infinite horizonMean-field-type gamesA maximum principle for fully coupled stochastic control systems of mean-field typeMean-field stochastic H2/H control with delayMean-field backward stochastic differential equations driven by G-Brownian motion with uniformly continuous coefficientsMean-field maximum principle for optimal control of forward-backward stochastic systems with jumps and its application to mean-variance portfolio problemOn mean-field partial information maximum principle of optimal control for stochastic systems with Lévy processes



Cites Work


This page was built for publication: Stochastic maximum principle in the mean-field controls