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Indefinite mean-field type linear–quadratic stochastic optimal control problems [PDF]

open access: yesAutomatica, 2020
This paper focuses on indefinite stochastic mean-field linear-quadratic (MF-LQ, for short) optimal control problems, which allow the weighting matrices for state and control in the cost functional to be indefinite. The solvability of stochastic Hamiltonian system and Riccati equations is presented under both positive definite case and indefinite case ...
Li, N, Li, X, Yu, Z
openaire   +3 more sources

Justification of Direct Scheme for Asymptotic Solving Three-Tempo Linear-Quadratic Control Problems under Weak Nonlinear Perturbations

open access: yesAxioms, 2022
The paper deals with an application of the direct scheme method, consisting of immediately substituting a postulated asymptotic solution into a problem condition and determining a series of control problems for finding asymptotics terms, for asymptotics ...
Galina Kurina, Margarita Kalashnikova
doaj   +1 more source

Stochastic Linear Quadratic Optimal Control Problems in Infinite Horizon [PDF]

open access: yesApplied Mathematics & Optimization, 2017
30 ...
Sun, Jingrui, Yong, Jiongmin
openaire   +4 more sources

Multi-Objective LQG Design with Primal-Dual Method

open access: yesMathematics, 2023
The objective of this paper is to investigate a multi-objective linear quadratic Gaussian (LQG) control problem. Specifically, we examine an optimal control problem that minimizes a quadratic cost over a finite time horizon for linear stochastic systems ...
Donghwan Lee
doaj   +1 more source

A Linear-Quadratic Optimal Control Problem for Mean-Field Stochastic Differential Equations in Infinite Horizon [PDF]

open access: yes, 2012
A linear-quadratic (LQ, for short) optimal control problem is considered for mean-field stochastic differential equations with constant coefficients in an infinite horizon.
Jianhui Huang, Xunjing Li, J. Yong
semanticscholar   +1 more source

Optimal control for networked control systems with multiple delays and packet dropouts

open access: yesInternational Journal of Advanced Robotic Systems, 2020
This article focuses on the problem of optimal linear quadratic Gaussian control for networked control systems with multiple delays and packet dropouts. The main contributions are twofold.
Xiao Lu   +5 more
doaj   +1 more source

Adaptive Optimal Control With Guaranteed Convergence Rate for Continuous-Time Linear Systems With Completely Unknown Dynamics

open access: yesIEEE Access, 2019
The traditional linear quadratic optimal control can be summarized as finding the state feedback controller so that the closed-loop system is stable and the performance index is minimum.
Kai Zhang, Suo-Liang Ge
doaj   +1 more source

Approximated Solutions of Linear Quadratic Fractional Optimal Control Problems [PDF]

open access: yesJournal of Applied Mathematics, Statistics and Informatics, 2016
Abstract In this study we apply the Adomian decomposition method (ADM) to approximate the solution of fractional optimal control problems (FOCPs) where the dynamic of system is a linear control system with constant coefficient and the cost functional is defined in a quadratic form. First we stated the necessary optimality conditions in a
Soradi Zeid, S.   +2 more
openaire   +2 more sources

Stochastic optimal and time-optimal control studies for additional food provided prey–predator systems involving Holling type III functional response

open access: yesComputational and Mathematical Biophysics, 2023
This article consists of a detailed and novel stochastic optimal control analysis of a coupled non-linear dynamical system. The state equations are modelled as an additional food-provided prey–predator system with Holling type III functional response for
Prakash Daliparthi Bhanu   +1 more
doaj   +1 more source

On an infinite dimensional linear-quadratic problem with fixed endpoints: The continuity question

open access: yesInternational Journal of Applied Mathematics and Computer Science, 2014
In a Hilbert space setting, necessary and sufficient conditions for the minimum norm solution u to the equation Su = Rz to be continuously dependent on z are given.
Przyłuski K.Maciej
doaj   +1 more source

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