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We propose sequential Monte Carlo (SMC) methods for sampling the posterior distribution of state-space models under highly informative observation regimes, a situation in which standard SMC methods can perform poorly. A special case is…

Computation · Statistics 2015-07-10 Pierre Del Moral , Lawrence M. Murray

In this article, we consider a stochastic linear quadratic control problem with partial observation. A near optimal control in the weak formulation is characterized. The main features of this paper are the presence of the control in the…

Optimization and Control · Mathematics 2026-02-27 Jingrui Sun , Jiaqiang Wen , Jie Xiong , Wen Xu

We present an algorithm for controlling and scheduling multiple linear time-invariant processes on a shared bandwidth limited communication network using adaptive sampling intervals. The controller is centralized and computes at every…

Systems and Control · Computer Science 2015-06-25 Erik Henriksson , Daniel E. Quevedo , Edwin G. W. Peters , Henrik Sandberg , Karl Henrik Johansson

In the present paper, we study the existence and optimal controllability of a multi-term time-fractional stochastic system with non-instantaneous impulses. Using semigroup theory, stochastic analysis theory, and Krasnoselskii's fixed point…

Dynamical Systems · Mathematics 2023-11-30 Asma Afreen , Abdur Raheem , Areefa Khatoon

This paper presents a mean-field control approach for Piecewise Deterministic Markov Processes (PDMPs), specifically designed for controlling a large number of agents. By modeling the interactions of a large number of agents through an…

Optimization and Control · Mathematics 2025-11-04 Thomas Le Corre , Adrien Séguret , Ana Bušić

In this paper, we are interested in optimal decisions in a partially observable Markov universe. Our viewpoint departs from the dynamic programming viewpoint: we are directly approximating an optimal strategic tree depending on the…

General Mathematics · Mathematics 2007-05-23 Frederic Dambreville

In this paper, we present a generalization of the certainty equivalence principle of stochastic control. One interpretation of the classical certainty equivalence principle for linear systems with output feedback and quadratic costs is as…

Optimization and Control · Mathematics 2026-02-04 Berk Bozkurt , Aditya Mahajan , Ashutosh Nayyar , Yi Ouyang

This paper presents a stochastic model predictive control approach for nonlinear systems subject to time-invariant probabilistic uncertainties in model parameters and initial conditions. The stochastic optimal control problem entails a cost…

Optimization and Control · Mathematics 2014-10-17 Stefan Streif , Matthias Karl , Ali Mesbah

The fixed-horizon constrained Markov Decision Process (C-MDP) is a well-known model for planning in stochastic environments under operating constraints. Chance-Constrained MDP (CC-MDP) is a variant that allows bounding the probability of…

Artificial Intelligence · Computer Science 2023-04-19 Majid Khonji

In this paper, we consider the gradual-impulse control problem of continuous-time Markov decision processes, where the system performance is measured by the expectation of the exponential utility of the total cost. We prove, under very…

Optimization and Control · Mathematics 2023-11-16 Xin Guo , Aiko Kurushima , Alexey Piunovskiy , Yi Zhang

Motivated by applications arising in networked systems, this work examines controlled regime-switching systems that stem from a mean-variance formulation. A main point is that the switching process is a hidden Markov chain. An additional…

Optimization and Control · Mathematics 2014-01-21 Zhixin Yang , George Yin , Qing Zhang

In this paper, we will propose linear-matrix-inequality-based techniques for the design of sampled-data controllers that render the closed-loop system dissipative with respect to \textcolor{blue}{quadratic supply functions}, which includes…

Systems and Control · Electrical Eng. & Systems 2024-03-14 L. M. Spin , M. C. F. Donkers

In this paper, we consider the problem of deploying a robot from a specification given as a temporal logic statement about some properties satisfied by the regions of a large, partitioned environment. We assume that the robot has noisy…

Robotics · Computer Science 2012-02-24 Xu Chu Ding , Jing Wang , Morteza Lahijanian , Ioannis Ch. Paschalidis , Calin A. Belta

Firstly, a new state feedback model reference adaptive control approach is developed for uncertain systems with gain scheduled reference models in a multi-input multi-output (MIMO) setting. Specifically, adaptive state feedback for output…

Optimization and Control · Mathematics 2014-03-18 Mehrdad Pakmehr , Tansel Yucelen

Phase type (PH) distributions are widely used in modeling and simulation due to their generality and analytical properties. In such settings, it is often necessary to construct a PH distribution that aligns with real-world data by matching…

Optimization and Control · Mathematics 2025-05-28 Eliran Sherzer , Yehezkel Resheff , Miklos Telek

Robust control of complex engineered and biological systems hinges on the integration of feedforward and feedback mechanisms. This is exemplified in neural motor control, where feedforward muscle co-contraction complements sensory-driven…

Optimization and Control · Mathematics 2026-03-06 Bastien Berret , Frédéric Jean

This paper presents a quasi time optimal receding horizon control algorithm. The proposed algorithm generates near time optimal control when the state of the system is far from the target. When the state attains a certain neighbourhood of…

Optimization and Control · Mathematics 2007-05-23 Piotr Bania

Finite state space hidden Markov models are flexible tools to model phenomena with complex time dependencies: any process distribution can be approximated by a hidden Markov model with enough hidden states.We consider the problem of…

Statistics Theory · Mathematics 2021-02-16 Luc Lehéricy

Bayesian inference in the presence of an intractable likelihood function is computationally challenging. When following a Markov chain Monte Carlo (MCMC) approach to approximate the posterior distribution in this context, one typically…

Methodology · Statistics 2019-10-03 Johan Alenlöv , Arnaud Doucet , Fredrik Lindsten

Piecewise-deterministic Markov processes (PDMPs) offer a powerful stochastic modeling framework that combines deterministic trajectories with random perturbations at random times. Estimating their local characteristics (particularly the…

Methodology · Statistics 2025-12-29 Romain Azaïs , Solune Denis
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