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In this paper, we study two kinds of singular optimal controls (SOCs for short) problems where the systems governed by forward-backward stochastic differential equations (FBSDEs for short), in which the control has two components: the…

最优化与控制 · 数学 2020-12-22 Liangquan Zhang

In this paper, new characterizations for functional observability, functional detectability, and structural functional observability (SFO) are developed, and based on them, the related optimal sensor placement problems are investigated. A…

系统与控制 · 电气工程与系统科学 2024-09-18 Yuan Zhang , Tyrone Fernando , Mohamed Darouach

This paper studies the robustness of observability of a linear time-invariant system under sensor failures from a computational perspective. To be precise, the problem of determining the minimum number of sensors whose removal can destroy…

最优化与控制 · 数学 2023-07-18 Yuan Zhang , Yuanqing Xia , Kun Liu

Robustness of higher-order networks is often quantified by the instantaneous smallest positive eigenvalue of the Hodge $1$-Laplacian under simplex deletion. We show that this observable is generically ill-defined: along a deletion…

适应与自组织系统 · 物理学 2026-03-26 Kaiming Luo

This article explores a relationship between inconsistency in the pairwise comparisons method and conditions of order preservation. A pairwise comparisons matrix with elements from an alo-group is investigated. This approach allows for a…

离散数学 · 计算机科学 2019-03-29 Konrad Kulakowski , Jiri Mazurek , Jaroslav Ramik , Michael Soltys

We study controlled systems which are uniformly observable and differentially observable with an order larger than the system state dimension. We establish that they may be transformed into a (partial) triangular canonical form but with…

最优化与控制 · 数学 2019-04-30 Pauline Bernard , Laurent Praly , Vincent Andrieu , Hassan Hammouri

We study the problem of representation learning in goal-conditioned hierarchical reinforcement learning. In such hierarchical structures, a higher-level controller solves tasks by iteratively communicating goals which a lower-level policy…

人工智能 · 计算机科学 2019-01-10 Ofir Nachum , Shixiang Gu , Honglak Lee , Sergey Levine

This paper first makes an attempt to investigate the partial information near optimal control of systems governed by forward-backward stochastic differential equations with observation noise under the assumption of a convex control domain.…

最优化与控制 · 数学 2017-08-11 Qingxin Meng , Qiuhong Shi , Maoning Tang

When learning to act in a stochastic, partially observable environment, an intelligent agent should be prepared to anticipate a change in its belief of the environment state, and be capable of adapting its actions on-the-fly to changing…

机器学习 · 计算机科学 2022-04-14 Ugo Lecerf , Christelle Yemdji-Tchassi , Pietro Michiardi

This paper studies the synthesis of control policies for an agent that has to satisfy a temporal logic specification in a partially observable environment, in the presence of an adversary. The interaction of the agent (defender) with the…

系统与控制 · 计算机科学 2019-03-19 Bhaskar Ramasubramanian , Andrew Clark , Linda Bushnell , Radha Poovendran

We consider entailment problems involving powerful constraint languages such as frontier-guarded existential rules in which we impose additional semantic restrictions on a set of distinguished relations. We consider restricting a relation…

计算机科学中的逻辑 · 计算机科学 2022-02-18 Antoine Amarilli , Michael Benedikt , Pierre Bourhis , Michael Vanden Boom

Humans perceive actions through key transitions that structure actions across multiple abstraction levels, whereas machines, relying on visual features, tend to over-segment. This highlights the difficulty of enabling hierarchical reasoning…

计算机视觉与模式识别 · 计算机科学 2026-03-02 Junxian Huang , Ruichu Cai , Hao Zhu , Juntao Fang , Boyan Xu , Weilin Chen , Zijian Li , Shenghua Gao

Embodied Task Planning with large language models faces safety challenges in real-world environments, where partial observability and physical constraints must be respected. Existing benchmarks often overlook these critical factors,…

机器人学 · 计算机科学 2026-02-26 Hyungmin Kim , Hobeom Jeon , Dohyung Kim , Minsu Jang , Jeahong Kim

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…

最优化与控制 · 数学 2026-02-27 Jingrui Sun , Jiaqiang Wen , Jie Xiong , Wen Xu

In this paper we study an infinite-horizon persistent monitoring problem in a two-dimensional mission space containing a finite number of statically placed targets, at each of which we assume a constant rate of uncertainty accumulation.…

最优化与控制 · 数学 2023-04-10 Jonas Hall , Logan E. Beaver , Christos G. Cassandras , Sean B. Andersson

Recent advances in data-driven models for grounded language understanding have enabled robots to interpret increasingly complex instructions. Two fundamental limitations of these methods are that most require a full model of the environment…

机器人学 · 计算机科学 2019-10-23 Siddharth Patki , Ethan Fahnestock , Thomas M. Howard , Matthew R. Walter

In this note, we investigate the structural controllability and observability indices of structured systems. We provide counter-examples showing that an existing graph-theoretic characterization for the structural controllability index…

系统与控制 · 电气工程与系统科学 2025-02-20 Yuan Zhang , Ranbo Cheng , Ziyuan Luo , Yuanqing Xia

For linear control systems, the usual state feedback stabilizability has two components: one is a continuous observation mode (i.e., to observe solutions continuously in time), and the other is a class of feedback laws (which is usually the…

最优化与控制 · 数学 2022-08-29 Hanbing Liu , Gengsheng Wang , Huaiqiang Yu

This paper considers the problem of determining an optimal control action based on observed data. We formulate the problem assuming that the system can be modelled by a nonlinear state-space model, but where the model parameters, state and…

The requirement of a language to be conditionally decomposable is imposed on a specification language in the coordination supervisory control framework of discrete-event systems. In this paper, we present a polynomial-time algorithm for the…

系统与控制 · 计算机科学 2014-12-22 Jan Komenda , Tomáš Masopust , Jan H. van Schuppen