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This paper studies quadcopters obstacle avoidance trajectory control (OATC) problem for express delivery. A new nonlinear adaptive learning controller that is low-cost and portable to different wheelbase sizes is proposed to adapt to…

Systems and Control · Electrical Eng. & Systems 2024-04-01 Yanhui Zhang , Caisheng Wei , Yifan Zhang , Congcong Tian , Weifang Chen

The Inverse Optimal Control (IOC) problem is a structured system identification problem that aims to identify the underlying objective function based on observed optimal trajectories. This provides a data-driven way to model experts'…

Optimization and Control · Mathematics 2024-02-28 Han Zhang , Axel Ringh

The Dynamical Cluster Approximation (DCA) is modified to include disorder. The DCA incorporates non-local corrections to local approximations such as the Coherent Potential Approximation (CPA) by mapping the lattice problem with disorder,…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Jarrell , H. R. Krishnamurthy

Operational consistent query answering (CQA) is a recent framework for CQA based on revised definitions of repairs, which are built by applying a sequence of operations (e.g., fact deletions) starting from an inconsistent database until we…

Databases · Computer Science 2025-08-25 Marco Calautti , Ester Livshits , Andreas Pieris , Markus Schneider

The main aim of the paper is to give a short self-contained proof of the decidability of language equivalence for deterministic pushdown automata, which is the famous problem solved by G. Senizergues, for which C. Stirling has derived a…

Formal Languages and Automata Theory · Computer Science 2011-03-10 Petr Jancar

In this paper, we formulate a notion of diagnosability for labeled weighted automata over a class of dioids which admit both positive and negative numbers as well as vectors. The weights can represent diverse physical meanings such as time…

Formal Languages and Automata Theory · Computer Science 2024-02-16 Kuize Zhang , Joerg Raisch

While weighted automata provide a natural framework to express quantitative properties, many basic properties like average response time cannot be expressed with weighted automata. Nested weighted automata extend weighted automata and…

Formal Languages and Automata Theory · Computer Science 2016-06-14 Krishnendu Chatterjee , Thomas A. Henzinger , Jan Otop

We study the qualitative and quantitative zero-reachability problem in probabilistic multi-counter systems. We identify the undecidable variants of the problems, and then we concentrate on the remaining two cases. In the first case, when we…

Formal Languages and Automata Theory · Computer Science 2014-01-28 Tomáš Brázdil , Stefan Kiefer , Antonín Kučera , Petr Novotný , Joost-Pieter Katoen

Uncertainties arising from localization error, trajectory prediction errors of the moving obstacles and environmental disturbances pose significant challenges to robot's safe navigation. Existing uncertainty-aware planners often approximate…

Robotics · Computer Science 2026-03-06 Zehao Wang , Yuxuan Tang , Han Zhang , Jingchuan Wang , Weidong Chen

We consider stochastic optimization problems with non-convex functional constraints, such as those arising in trajectory generation, sparse approximation, and robust classification. To this end, we put forth a recursive momentum-based…

Optimization and Control · Mathematics 2025-08-04 Basil M. Idrees , Lavish Arora , Ketan Rajawat

Partially ordered automata are automata where the transition relation induces a partial order on states. The expressive power of partially ordered automata is closely related to the expressivity of fragments of first-order logic on finite…

Logic in Computer Science · Computer Science 2023-06-22 Tomáš Masopust , Markus Krötzsch

Recent advances in object detectors have led to their adoption for industrial uses. However, their deployment in safety-critical applications is hindered by the inherent lack of reliability of neural networks and the complex structure of…

Machine Learning · Statistics 2025-11-03 Léo andéol , Luca Mossina , Adrien Mazoyer , Sébastien Gerchinovitz

We study the continuous-time structure of the difference-of-convex algorithm (DCA) for smooth DC decompositions with a strongly convex component. In dual coordinates, classical DCA is exactly the full-step explicit Euler discretization of a…

Optimization and Control · Mathematics 2026-04-09 Yi-Shuai Niu

Inverse Optimal Control (IOC) aims to infer the underlying cost functional of an agent from observations of its expert behavior. This paper focuses on the IOC problem within the continuous-time linear quadratic regulator framework,…

Optimization and Control · Mathematics 2025-07-29 Meiling Yu , Lechen Feng , Lei Jiang , Yuan-Hua Ni

We introduce the model of communicating timed automata (CTA) that extends the classical models of finite-state processes communicating through FIFO perfect channels and timed automata, in the sense that the finite-state processes are…

Formal Languages and Automata Theory · Computer Science 2018-03-20 Parosh Aziz Abdulla , Mohamed Faouzi Atig , S. Krishna

In this work, we propose and analyze DCA-PAGE, a novel algorithm that integrates the difference-of-convex algorithm (DCA) with the ProbAbilistic Gradient Estimator (PAGE) to solve structured nonsmooth difference-of-convex programs. In the…

Optimization and Control · Mathematics 2025-09-16 Anh Duc Nguyen , Alp Yurtsever , Suvrit Sra , Kim-Chuan Toh

One clock alternating timed automata (OCATA) have been introduced as natural extension of (one clock) timed automata to express the semantics of MTL. In this paper, we consider the application of OCATA to the problems of model-checking and…

Logic in Computer Science · Computer Science 2014-06-18 Thomas Brihaye , Morgane Estiévenart , Gilles Geeraerts

Matrix low rank approximation including the classical PCA and the robust PCA (RPCA) method have been applied to solve the background modeling problem in video analysis. Recently, it has been demonstrated that a special weighted low rank…

Optimization and Control · Mathematics 2017-03-21 Aritra Dutta , Xin Li

We examine verification of concurrent programs under the total store ordering (TSO) semantics used by the x86 architecture. In our model, threads manipulate variables over infinite domains and they can check whether variables are related…

Formal Languages and Automata Theory · Computer Science 2024-01-22 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Florian Furbach , Shashwat Garg

In order to overcome the inherent latency in multi-user unmanned aerial vehicle (UAV) networks with orthogonal multiple access (OMA). In this paper, we investigate the UAV enabled uplink non-orthogonal multiple access (NOMA) network, where…

Signal Processing · Electrical Eng. & Systems 2019-08-27 Jinhui Lu , Yuntian Wang , Tingting Liu , Zhihong Zhuang , Xiaobo Zhou , Feng Shu , Zhu Han