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Continuous-time trajectory estimation is an attractive alternative to discrete-time batch estimation due to the ability to incorporate high-frequency measurements from asynchronous sensors while keeping the number of optimization parameters…

Robotics · Computer Science 2024-02-02 Jacob Johnson , Joshua Mangelson , Timothy Barfoot , Randal Beard

A passive scalar is advected by a velocity field, with a nonuniform spatial source that maintains concentration inhomogeneities. For example, the scalar could be temperature with a source consisting of hot and cold spots, such that the mean…

Fluid Dynamics · Physics 2007-12-12 Jean-Luc Thiffeault , G. A. Pavliotis

Inference of detailed vehicle trajectories is crucial for applications such as traffic flow modeling, energy consumption estimation, and traffic flow optimization. Static sensors can provide only aggregated information, posing challenges in…

Systems and Control · Electrical Eng. & Systems 2025-01-24 Yifan Zhang , Anastasios Kouvelas , Michail A. Makridis

We introduce discontinuous solutions to nonlinear impulsive control systems with state time delays in the dynamics and derive necessary optimality conditions in the form of a Maximum Principle for associated optimal control problems. In the…

Optimization and Control · Mathematics 2024-07-11 Giovanni Fusco , Monica Motta , Richard Vinter

In this paper, an optimization-based framework for generating estimation-aware trajectories is presented. In this setup, measurement (output) uncertainties are state-dependent and set-valued. Enveloping ellipsoids are employed to…

Optimization and Control · Mathematics 2025-05-13 Aditya Deole , Mehran Mesbahi

The nonparametric estimation of the volatility and the drift coefficient of a scalar diffusion is studied when the process is observed at random time points. The constructed estimator generalizes the spectral method by Gobet, Hoffmann and…

Statistics Theory · Mathematics 2017-10-12 Jakub Chorowski , Mathias Trabs

We present a variational principle for the extraction of a time-dependent orthonormal basis from random realizations of transient systems. The optimality condition of the variational principle leads to a closed-form evolution equation for…

Numerical Analysis · Mathematics 2020-07-01 Hessam Babaee

An algorithm for planning near time-optimal trajectories for systems with an oscillatory internal dynamics has been developed in previous work. It is based on assembling a complete trajectory from motion primitives called jerk segments,…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Thomas Auer , Frank Woittennek

We investigate the joint actuator-sensor design problem for stochastic linear control systems. Specifically, we address the problem of identifying a pair of sensor and actuator which gives rise to the minimum expected value of a quadratic…

Systems and Control · Computer Science 2018-06-12 Xudong Chen

Intelligent mobile sensors, such as uninhabited aerial or underwater vehicles, are becoming prevalent in environmental sensing and monitoring applications. These active sensing platforms operate in unsteady fluid flows, including windy…

Optimization and Control · Mathematics 2022-02-23 Kartik Krishna , Zhuoyuan Song , Steven L. Brunton

The knowledge of channel statistics can be very helpful in making sound opportunistic spectrum access decisions. It is therefore desirable to be able to efficiently and accurately estimate channel statistics. In this paper we study the…

Information Theory · Computer Science 2015-03-17 Quanquan Liang , Mingyan Liu

This paper presents a trajectory tracking control strategy that modulates the active power injected by geographically distributed inverter-based resources to support transient stability. Each resource is independently controlled, and its…

Systems and Control · Electrical Eng. & Systems 2021-07-29 Ryan T. Elliott , Payman Arabshahi , Daniel S. Kirschen

A parameter estimation problem is considered, in which dispersed sensors transmit to the statistician partial information regarding their observations. The sensors observe the paths of continuous semimartingales, whose drifts are linear…

Methodology · Statistics 2013-02-01 Georgios Fellouris

How much work does it cost for a propelled particle to stay localised near a stationary target, defying both thermal noise and a constant flow that would carry it away? We study the control of such a particle in finite time and find optimal…

Statistical Mechanics · Physics 2026-02-16 Till Welker , Patrick Pietzonka

Agile quadrotor flight relies on rapidly planning and accurately tracking time-optimal trajectories, a technology critical to their application in the wild. However, the computational burden of computing time-optimal trajectories based on…

Robotics · Computer Science 2023-05-05 Ziyu Zhou , Gang Wang , Jian Sun , Jikai Wang , Jie Chen

Novel experimental modalities acquire spatially resolved velocity measurements for steady state and transient flows which are of interest for engineering and biological applications. One of the drawbacks of such high resolution velocity…

Numerical Analysis · Mathematics 2015-12-31 H. Egger , T. Seitz , C. Tropea

Scene flow estimation is the task of describing 3D motion between temporally successive observations. This thesis aims to build the foundation for building scene flow estimators with two important properties: they are scalable, i.e. they…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Kyle Vedder

Effective sensor scheduling requires the consideration of long-term effects and thus optimization over long time horizons. Determining the optimal sensor schedule, however, is equivalent to solving a binary integer program, which is…

Applications · Statistics 2012-04-02 Marco F. Huber

Most control systems run on digital hardware with limited communication resources. This work develops self-triggered control for linear systems where sensors update independently (asynchronous measurements). The controller computes an…

Systems and Control · Electrical Eng. & Systems 2025-11-21 Abbas Tariverdi

We propose a sampling-based trajectory optimization methodology for constrained problems. We extend recent works on stochastic search to deal with box control constraints,as well as nonlinear state constraints for discrete dynamical…

Optimization and Control · Mathematics 2019-11-13 George I. Boutselis , Ziyi Wang , Evangelos A. Theodorou