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We introduce a framework for approximate analysis of Markov decision processes (MDP) with bounded-, unbounded-, and infinite-horizon properties. The main idea is to identify a "core" of an MDP, i.e., a subsystem where we provably remain…

系统与控制 · 电气工程与系统科学 2023-06-22 Jan Křetínský , Tobias Meggendorfer

Automatic verification of concurrent programs faces state explosion due to the exponential possible interleavings of its sequential components coupled with large or infinite state spaces. An alternative is deductive verification, where…

编程语言 · 计算机科学 2024-01-01 Yuan Xia , Jyotirmoy V. Deshmukh , Mukund Raghothaman , Srivatsan Ravi

We introduce the concept of structured synthesis for Markov decision processes where the structure is induced from finitely many pre-specified options for a system configuration. The resulting synthesis problem is in general a nonlinear…

软件工程 · 计算机科学 2018-07-18 Nils Jansen , Laura Humphrey , Jana Tumova , Ufuk Topcu

This paper presents a compositional approach to specification-guided abstraction refinement for control synthesis of a nonlinear system associated with a method to over-approximate its reachable sets. Given an initial coarse partition of…

系统与控制 · 计算机科学 2017-12-19 Pierre-Jean Meyer , Dimos V. Dimarogonas

This paper proposes a reinforcement learning method for controller synthesis of autonomous systems in unknown and partially-observable environments with subjective time-dependent safety constraints. Mathematically, we model the system…

机器人学 · 计算机科学 2021-04-06 Yu Wang , Alper Kamil Bozkurt , Miroslav Pajic

Common approaches for direct model predictive control (MPC) for current reference tracking in power electronics suffer from the high computational complexity encountered when solving integer optimal control problems over long prediction…

最优化与控制 · 数学 2016-06-28 Bartolomeo Stellato , Tobias Geyer , Paul J. Goulart

This paper proposes a finitely terminating algorithm to solve reach-and-stay control problems for nonlinear systems. The algorithm is guaranteed to return a control strategy if the specification is robustly realizable. Such a feature is…

最优化与控制 · 数学 2020-04-17 Yinan Li , Jun Liu

We study data-driven computation of probabilistic controlled invariant sets (PCIS) for safety-critical reinforcement learning under unknown dynamics. Assuming a linear MDP model, we use regularized least squares and self-normalized…

系统与控制 · 电气工程与系统科学 2026-04-06 Kazumune Hashimoto , Shunki Kimura , Kazunobu Serizawa , Junya Ikemoto , Yulong Gao , Kai Cai

Despite the tremendous advances that have been made in the last decade on developing useful machine-learning applications, their wider adoption has been hindered by the lack of strong assurance guarantees that can be made about their…

机器学习 · 计算机科学 2019-07-18 He Zhu , Zikang Xiong , Stephen Magill , Suresh Jagannathan

We consider the joint problem of system identification and inverse optimal control for discrete-time stochastic Linear Quadratic Regulators. We analyze finite and infinite time horizons in a partially observed setting, where the state is…

In this paper, we study the feedback synthesis problem for steering the joint state density or ensemble subject to multi-input state feedback linearizable dynamics. This problem is of interest to many practical applications including that…

最优化与控制 · 数学 2019-10-01 Kenneth F. Caluya , Abhishek Halder

The System Level Synthesis (SLS) approach facilitates distributed control of large cyberphysical networks in an easy-to-understand, computationally scalable way. We present an overview of the SLS approach and its associated extensions in…

系统与控制 · 电气工程与系统科学 2021-04-01 Jing Shuang Li , Carmen Amo Alonso , John C. Doyle

Agents controlled by the output of reinforcement learning (RL) algorithms often transition to unsafe states, particularly in uncertain and partially observable environments. Partially observable Markov decision processes (POMDPs) provide a…

系统与控制 · 电气工程与系统科学 2025-09-16 Steven Carr , Georgios Bakirtzis , Ufuk Topcu

Symbolic control is an abstraction-based controller synthesis approach that provides, algorithmically, certifiable-by-construction controllers for cyber-physical systems. Symbolic control approaches usually assume that full-state…

系统与控制 · 电气工程与系统科学 2022-11-01 Mahmoud Khaled , Kuize Zhang , Majid Zamani

The synthesis of maximally-permissive controllers in infinite-state systems has many practical applications. Such controllers directly correspond to maximal winning strategies in logically specified infinite-state two-player games. In this…

计算机科学中的逻辑 · 计算机科学 2021-08-18 Stanly Samuel , Deepak D'Souza , Raghavan Komondoor

In this paper, we present a quasi infinite horizon nonlinear model predictive control (MPC) scheme for tracking of generic reference trajectories. This scheme is applicable to nonlinear systems, which are locally incrementally stabilizable.…

系统与控制 · 电气工程与系统科学 2020-03-12 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

This paper presents an automatic formal controller synthesis method for nonlinear sampled-data systems with safety and reachability specifications. Fundamentally, the presented method is not restricted to polynomial systems and controllers.…

系统与控制 · 计算机科学 2018-12-07 Cees F. Verdier , Manuel Mazo

Conformal prediction is a framework for predictive inference with a distribution-free, finite-sample guarantee. However, it tends to provide uninformative prediction sets when calibration data are scarce. This paper introduces…

机器学习 · 计算机科学 2025-06-17 Meshi Bashari , Roy Maor Lotan , Yonghoon Lee , Edgar Dobriban , Yaniv Romano

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

Ensuring both performance and safety is critical for autonomous systems operating in real-world environments. While safety filters such as Control Barrier Functions (CBFs) enforce constraints by modifying nominal controllers in real time,…

系统与控制 · 电气工程与系统科学 2025-07-21 Aditya Singh , Aastha Mishra , Manan Tayal , Shishir Kolathaya , Pushpak Jagtap