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This paper proposes two novel distributed continuous-time algorithms inspired by PID control to solve distributed optimization problems. The algorithms are referred to as first-order and second-order, respectively, depend on the intrinsic…

Optimization and Control · Mathematics 2023-11-10 Meng Tao , Dongdong Yue , Jinde Cao

This paper considers the jointly optimal pilot and data power allocation in single-cell uplink massive multiple-input-multiple-output (MIMO) systems. Using the spectral efficiency (SE) as performance metric and setting a total energy budget…

Information Theory · Computer Science 2026-04-28 Hei Victor Cheng , Emil Björnson , Erik G. Larsson

We propose new continuous-time formulations for first-order stochastic optimization algorithms such as mini-batch gradient descent and variance-reduced methods. We exploit these continuous-time models, together with simple Lyapunov analysis…

Optimization and Control · Mathematics 2020-03-12 Antonio Orvieto , Aurelien Lucchi

The output-error method is a mainstay of aircraft system identification from flight-test data. It is the method of choice for a wide range of applications, from the estimation of stability and control derivatives for aerodynamic database…

Computation · Statistics 2019-09-09 Dimas Abreu Archanjo Dutra

The method of recurrence plots is extended to the cross recurrence plots (CRP), which among others enables the study of synchronization or time differences in two time series. This is emphasized in a distorted main diagonal in the cross…

Geophysics · Physics 2020-01-29 N. Marwan , M. Thiel , N. R. Nowaczyk

An arrangement of $n$ curves in the plane is given. The query is a point $q$ and the goal is to find the face of the arrangement that contains $q$. A data-structure for point-location, preprocesses the curves into a data structure of…

Computational Geometry · Computer Science 2020-12-07 Sepideh Aghamolaei , Mohammad Ghodsi

This paper addresses the data-driven structured controller design problem for continuous-time linear time-invariant (LTI) systems. We consider three control objectives, including stabilization, $H_2$ performance, and $H_\infty$ performance.…

Optimization and Control · Mathematics 2026-01-29 Zhaohua Yang , Yuxing Zhong , Ling Shi

In the pursuit of real-time motion planning, a commonly adopted practice is to compute a trajectory by running a planning algorithm on a simplified, low-dimensional dynamical model, and then employ a feedback tracking controller that tracks…

Systems and Control · Computer Science 2019-07-30 Sumeet Singh , Mo Chen , Sylvia L. Herbert , Claire J. Tomlin , Marco Pavone

In this paper, we propose a strategy to solve endo-atmospheric launch vehicle optimal control problems using indirect methods. More specifically, we combine shooting methods with an adequate continuation algorithm, taking advantage of the…

Optimization and Control · Mathematics 2017-03-16 Riccardo Bonalli , Bruno Hérissé , Emmanuel Trélat

Several algorithms are presented for the accurate computation of the leaves in the foliation of an ODE near a hyperbolic fixed point. They are variations of a contraction mapping method in [25] to compute inertial manifolds, which…

Numerical Analysis · Mathematics 2012-11-06 Y. -M. Chung , M. S. Jolly

This study proposes a one-shot data-driven tuning method for a fractional-order proportional-integral-derivative (FOPID) controller. The proposed method tunes the FOPID controller in the model-reference control formulation. A loss function…

Systems and Control · Electrical Eng. & Systems 2024-07-26 Ansei Yonezawa , Heisei Yonezawa , Shuichi Yahagi , Itsuro Kajiwara

This paper presents an algorithm for direct continuous-time (CT) identification of linear switched state-space (LSS) models. The key idea for direct CT identification is based on an integral architecture consisting of an LSS model followed…

Systems and Control · Electrical Eng. & Systems 2022-10-05 Manas Mejari , Dario Piga

Dead time effects have been considered a major limitation for fast data acquisition in various time-correlated single photon counting applications, since a commonly adopted approach for dead time mitigation is to operate in the low-flux…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Joshua Rapp , Yanting Ma , Robin M. A. Dawson , Vivek K Goyal

This paper introduces a computationally efficient approach for solving Model Predictive Control (MPC) reference tracking problems with state and control constraints. The approach consists of three key components: First, a log-domain…

Optimization and Control · Mathematics 2022-05-12 Jordan Leung , Frank Permenter , Ilya Kolmanovsky

This paper presents a control technique for output tracking of reference signals in continuous-time dynamical systems. The technique is comprised of the following three elements: (i) output prediction which has to track the reference…

Optimization and Control · Mathematics 2019-10-03 Yorai Wardi , Carla Seatzu , Jorge Cortes , Magnus Egerstedt , Shashwat Shivam , Ian Buckley

We consider multi-robot systems under recurring tasks formalized as linear temporal logic (LTL) specifications. To solve the planning problem efficiently, we propose a bottom-up approach combining offline plan synthesis with online…

The sliding mode observer is a useful method for estimating the system state and the unknown disturbance. However, the traditional single-layer observer might still suffer from high pulse when the output measurement is mixed with noise. To…

Systems and Control · Electrical Eng. & Systems 2023-10-27 Yiyong Sun , Zhang Chen , Guang Zhai , Bin Liang

A successive continuation method for locating connecting orbits in parametrized systems of autonomous ODEs is considered. A local convergence analysis is presented and several illustrative numerical examples are given.

chao-dyn · Physics 2015-06-24 E. J. Doedel , M. J. Friedman , B. I. Kunin

We present a semi-analytical method for exact computation of the boundary of the reach set of a single-input controllable linear time invariant (LTI) system with given bounds on its input range. In doing so, we deduce a parametric formula…

Optimization and Control · Mathematics 2024-01-05 Shadi Haddad , Pansie Khodary , Abhishek Halder

We present novel soft-input soft-output (SISO) multiple-input multiple-output (MIMO) detectors based on the Chase detection principle [1] in the context of iterative and decoding (IDD). The proposed detector complexity is linear in the…

Information Theory · Computer Science 2015-06-22 Ahmad Gomaa , Louay Jalloul