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This paper investigates almost sure exponential stabilization of continuous-time Markov jump linear systems (MJLSs) under communication data-rate constraints by introducing sampling and quantization into the feedback control. Different from…

Dynamical Systems · Mathematics 2021-10-29 Jingyi Wang , Jianwen Feng , Chen Xu , Xiaoqun Wu , Jinhu Lü

We consider the problem of approximating the stationary distribution of an ergodic Markov chain given a set of sampled transitions. Classical simulation-based approaches assume access to the underlying process so that trajectories of…

Machine Learning · Computer Science 2020-03-03 Junfeng Wen , Bo Dai , Lihong Li , Dale Schuurmans

This paper aims to develop the stability theory for singular stochastic Markov jump systems with state-dependent noise, including both continuous- and discrete-time cases. The sufficient conditions for the existence and uniqueness of a…

Optimization and Control · Mathematics 2015-09-04 Yong Zhao , Weihai Zhang

We study a remote estimation setup with an autoregressive (AR) Markov process, a sensor, and a remote estimator. The sensor observes the process and sends encoded observations to the estimator as packets over an unreliable communication…

Optimization and Control · Mathematics 2025-12-29 Manali Dutta , Rahul Singh , Shalabh Bhatnagar

We consider the problem of transmission scheduling for the remote estimation of a discrete-time autoregressive Markov process that is driven by white Gaussian noise. A sensor observes this process, and then decides to either encode the…

Optimization and Control · Mathematics 2023-03-30 Manali Dutta , Rahul Singh

Spatio-temporal hidden Markov models are extremely difficult to estimate because their latent joint distributions are available only in trivial cases. In the estimation phase, these latent distributions are usually substituted with…

Methodology · Statistics 2025-09-19 Daniele Tancini , Riccardo Rastelli , Francesco Bartolucci

In this paper, we propose a distributionally robust safety verification method for Markov decision processes where only an ambiguous transition kernel is available instead of the precise transition kernel. We define the ambiguity set around…

Systems and Control · Electrical Eng. & Systems 2024-11-27 Abhijit Mazumdar , Yuting Hou , Rafal Wisniewski

This paper studies a distributed state estimation problem for both continuous- and discrete-time linear systems. A simply structured distributed estimator (comprising interconnected local estimators) is first described for estimating the…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Lili Wang , Ji Liu , Brian B. O. Anderson , A. Stephen Morse

We consider a remote state estimation problem in the presence of an eavesdropper over packet dropping links. A smart sensor transmits its local estimates to a legitimate remote estimator, in the course of which an eavesdropper can randomly…

Systems and Control · Electrical Eng. & Systems 2019-10-10 Jingyi Lu , Alex S. Leong , Daniel E. Quevedo

We present a learning model predictive control (MPC) scheme for chance-constrained Markov jump systems with unknown switching probabilities. Using samples of the underlying Markov chain, ambiguity sets of transition probabilities are…

Optimization and Control · Mathematics 2023-01-06 Mathijs Schuurmans , Panagiotis Patrinos

This paper deals with a distributed state estimation problem for jointly observable multi-agent systems operated over various time-varying network topologies. The results apply when the system matrix of the system to be observed contains…

Systems and Control · Electrical Eng. & Systems 2023-08-31 Shimin Wang , Martin Guay

Direct simulation of biomolecular dynamics in thermal equilibrium is challenging due to the metastable nature of conformation dynamics and the computational cost of molecular dynamics. Biased or enhanced sampling methods may improve the…

Chemical Physics · Physics 2015-06-12 Benjamin Trendelkamp-Schroer , Frank Noe

In this article, we establish a comprehensive theoretical framework for remote estimation in a networked system composed of a source that is observed by a sensor, a remote monitor that needs to estimate the state of the source in real time,…

Information Theory · Computer Science 2026-02-24 Touraj Soleymani , Mohamad Assaad , John S. Baras

Bisimulation metrics are powerful tools for measuring similarities between stochastic processes, and specifically Markov chains. Recent advances have uncovered that bisimulation metrics are, in fact, optimal-transport distances, which has…

Machine Learning · Computer Science 2025-05-26 Sergio Calo , Anders Jonsson , Gergely Neu , Ludovic Schwartz , Javier Segovia-Aguas

We present a case study applying learning-based distributionally robust model predictive control to highway motion planning under stochastic uncertainty of the lane change behavior of surrounding road users. The dynamics of road users are…

Systems and Control · Electrical Eng. & Systems 2022-11-08 Mathijs Schuurmans , Alexander Katriniok , Christopher Meissen , H. Eric Tseng , Panagiotis Patrinos

Advances in experimental techniques allow the collection of high-resolution spatio-temporal data that track individual motile entities over time. These tracking data motivate the use of mathematical models to characterise the motion…

Data Analysis, Statistics and Probability · Physics 2025-03-30 Arianna Ceccarelli , Alexander P. Browning , Ruth E. Baker

We consider a network of sensors deployed to sense a spatio-temporal field and estimate a parameter of interest. We are interested in the case where the temporal process sensed by each sensor can be modeled as a state-space process that is…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-04-12 S. Sundhar Ram , V. V. Veeravalli , A. Nedic

We consider the problem of statistical inference in a parametric finite Markov chain model and develop a robust estimator of the parameters defining the transition probabilities via minimization of a suitable (empirical) version of the…

Methodology · Statistics 2021-03-23 Abhik Ghosh

In this paper, we study the distributionally robust joint chance constrained Markov decision process. {Utilizing the logarithmic transformation technique,} we derive its deterministic reformulation with bi-convex terms under the…

Optimization and Control · Mathematics 2024-01-03 Tian Xia , Jia Liu , Zhiping Chen

In this paper, we study the problem of optimizing the stability of positive semi-Markov jump linear systems. We specifically consider the problem of tuning the coefficients of the system matrices for maximizing the exponential decay rate of…

Systems and Control · Computer Science 2020-09-22 Chengyan Zhao , Masaki Ogura , Kenji Sugimoto