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In this paper, we propose a new algorithm to solve the Inverse Stochastic Optimal Control (ISOC) problem of the linear-quadratic sensorimotor (LQS) control model. The LQS model represents the current state-of-the-art in describing…

最优化与控制 · 数学 2024-03-20 Philipp Karg , Manuel Hess , Balint Varga , Sören Hohmann

A general backward stochastic linear-quadratic optimal control problem is studied, in which both the state equation and the cost functional contain the nonhomogeneous terms. The main feature of the problem is that the weighting matrices in…

最优化与控制 · 数学 2022-03-01 Jingrui Sun , Jiaqiang Wen , Jie Xiong

Planning under motion and observation uncertainties requires solution of a stochastic control problem in the space of feedback policies. In this paper, we reduce the general (n^2+n)-dimensional belief space planning problem to an…

机器人学 · 计算机科学 2016-08-12 Mohammadhussein Rafieisakhaei , Suman Chakravorty , P. R. Kumar

This paper studies a class of partial information linear-quadratic mean-field game problems. A general stochastic large-population system is considered, where the diffusion term of the dynamic of each agent can depend on the state and…

最优化与控制 · 数学 2022-03-22 Min Li , Tianyang Nie , Zhen Wu

We propose a Model Predictive Control (MPC) with a single-step prediction horizon to approximate the solution of infinite horizon optimal control problems with the expected sum of convex stage costs for constrained linear uncertain systems.…

最优化与控制 · 数学 2025-04-24 Eunhyek Joa , Francesco Borrelli

Partially observable Markov decision processes (POMDPs) are a general framework for sequential decision-making under latent state uncertainty, yet learning in POMDPs is intractable in the worst case. Motivated by sensing and probing…

机器学习 · 计算机科学 2026-01-27 Ming Shi , Yingbin Liang , Ness B. Shroff

Many real-world reinforcement learning problems have a hierarchical nature, and often exhibit some degree of partial observability. While hierarchy and partial observability are usually tackled separately (for instance by combining…

Trajectory optimization is a fundamental stochastic optimal control problem. This paper deals with a trajectory optimization approach for dynamical systems subject to measurement noise that can be fitted into linear time-varying stochastic…

系统与控制 · 电气工程与系统科学 2021-08-24 Prakash Mallick , Zhiyong Chen

Sample average approximation--based stochastic dynamic programming (SDP) and model predictive control (MPC) are two different methods for approaching multistage stochastic optimization. In this paper we investigate the conditions under…

最优化与控制 · 数学 2026-02-10 Dominic S. T. Keehan , Andrew B. Philpott , Edward J. Anderson

Sampling-based Model Predictive Control (MPC) is a flexible control framework that can reason about non-smooth dynamics and cost functions. Recently, significant work has focused on the use of machine learning to improve the performance of…

机器人学 · 计算机科学 2022-12-07 Jacob Sacks , Byron Boots

Decision processes with incomplete state feedback have been traditionally modeled as Partially Observable Markov Decision Processes. In this paper, we present an alternative formulation based on probabilistic regular languages. The proposed…

最优化与控制 · 数学 2009-08-07 Ishanu Chattopadhyay , Asok Ray

We consider a discrete-time Linear-Quadratic-Gaussian (LQG) control problem in which Massey's directed information from the observed output of the plant to the control input is minimized while required control performance is attainable.…

最优化与控制 · 数学 2017-06-13 Takashi Tanaka , Peyman Mohajerin Esfahani , Sanjoy K. Mitter

We study a high-dimensional stochastic optimization problem which features both control and stopping. In particular, a central planner steers a large population of particles, and can also remove particles at any time by paying a penalty. In…

最优化与控制 · 数学 2026-03-24 Pierre Cardaliaguet , Joe Jackson , Panagiotis E. Souganidis

We study finite-time horizon continuous-time linear-quadratic reinforcement learning problems in an episodic setting, where both the state and control coefficients are unknown to the controller. We first propose a least-squares algorithm…

最优化与控制 · 数学 2022-06-22 Matteo Basei , Xin Guo , Anran Hu , Yufei Zhang

This paper studies the stochastic optimal control problem for systems with unknown dynamics. A novel decoupled data based control (D2C) approach is proposed, which solves the problem in a decoupled "open loop-closed loop" fashion that is…

系统与控制 · 计算机科学 2018-09-11 Dan Yu , Mohammandhussen Rafieisakhaei , Suman Chakravorty

Many safety-critical control problems are modeled as risk-sensitive partially observable Markov decision processes, where the controller must make decisions from incomplete observations while balancing task performance against safety risk.…

机器学习 · 计算机科学 2026-05-15 Yushen Liu , Yin-Jen Chen , Ziyi Chen , Tao Wang , Heng Huang , Xugui Zhou , Yanfu Zhang

We consider nonlinear optimal control problems (OCPs) for which all problem data are polynomial. In the first part of the paper, we review how occupation measures can be used to approximate pointwise the optimal value function of a given…

最优化与控制 · 数学 2008-12-18 Didier Henrion , Jean B. Lasserre , Carlo Savorgnan

Partially Observable Markov Decision Processes (POMDPs) are systems in which one agent interacts with a stochastic environment, and receives only partial information about the current state. In a multi-environment POMDP (MEPOMDP), the…

人工智能 · 计算机科学 2026-05-11 Léonard Brice , Filip Cano , Krishnendu Chatterjee , Thomas A. Henzinger , Stefanie Muroya

A Linear-quadratic optimal control problem is considered for mean-field stochastic differential equations with deterministic coefficients. By a variational method, the optimality system is derived, which turns out to be a linear mean-field…

最优化与控制 · 数学 2011-10-10 Jiongmin Yong

In this brief, we consider the constrained optimization problem underpinning model predictive control (MPC). We show that this problem can be decomposed into an unconstrained optimization problem with the same cost function as the original…

最优化与控制 · 数学 2020-08-18 Uroš Kalabić , Ilya Kolmanovsky