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Tracking the solution of time-varying variational inequalities is an important problem with applications in game theory, optimization, and machine learning. Existing work considers time-varying games or time-varying optimization problems.…

Computer Science and Game Theory · Computer Science 2026-03-05 Hédi Hadiji , Sarah Sachs , Cristóbal Guzmán

When deploying autonomous systems in unknown and changing environments, it is critical that their motion planning and control algorithms are computationally efficient and can be reapplied online in real time, whilst providing theoretical…

Systems and Control · Electrical Eng. & Systems 2024-12-06 Seth Siriya , Mo Chen , Ye Pu

This study presents a method, along with its algorithmic and computational framework implementation, and performance verification for dynamical system identification. The approach incorporates insights from phase space structures, such as…

We propose an improved method for estimating partial differential equations and delay partial differential equations from data, using Bayesian optimization and the Bayesian information criterion to automatically find suitable…

Computational Physics · Physics 2026-02-23 Oliver Mai , Tim W. Kroll , Uwe Thiele , Oliver Kamps

This paper studies the problem of designing sampled-data observers and observer-based, sampled-data, output feedback stabilizers for systems with both discrete and distributed, state and output time-delays. The obtained results can be…

Optimization and Control · Mathematics 2019-07-17 Tarek Ahmed-Ali , Iasson Karafyllis , Fouad Giri

Underactuated systems like sea vessels have degrees of motion that are insufficiently matched by a set of independent actuation forces. In addition, the underlying trajectory-tracking control problems grow in complexity in order to decide…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Mohammed Abouheaf , Wail Gueaieb , Md. Suruz Miah , Davide Spinello

Discrete-time systems under aperiodic sampling may serve as a modeling abstraction for a multitude of problems arising in cyber-physical and networked control systems. Recently, model- and data-based stability conditions for such systems…

Systems and Control · Electrical Eng. & Systems 2021-10-28 Stefan Wildhagen , Julian Berberich , Matthias Hirche , Frank Allgöwer

This paper establishes the equivalence between systems described by a single first-order hyperbolic partial differential equation and systems described by integral delay equations. System-theoretic results are provided for both classes of…

Optimization and Control · Mathematics 2019-02-20 Iasson Karafyllis , Miroslav Krstic

The focal point of this paper is to theoretically investigate and numerically validate the effect of time delay on the exponential stabilization of a class of coupled hyperbolic systems with delayed and non-delayed dampings. The class in…

Optimization and Control · Mathematics 2024-10-15 Alhabib Moumni , Mohamed Mehdaoui , Jawad Salhi , Mouhcine Tilioua

This paper studies the numerical deformation that time-domain integration (TDI) methods introduce to the shape of the coupling between the dynamic modes and variables of power system models. To this aim, we employ a small-signal stability…

Numerical Analysis · Mathematics 2023-04-11 Carlo Tajoli , Georgios Tzounas , Gabriela Hug

This paper is a comprehensive study of a long observed phenomenon of increase in the stability margin and so the rate of convergence of a class of linear systems due to time delay. We use Lambert W function to determine (a) in what systems…

Multiagent Systems · Computer Science 2019-07-23 Hossein Moradian , Solmaz S. Kia

Transient stability assessment of power systems needs to account for increased risk from uncertainties due to the integration of renewables and distributed generators. The uncertain operating condition of the power grid hinders reliable…

Dynamical Systems · Mathematics 2017-05-04 Dongchan Lee , Konstantin Turitsyn

This paper investigates optimal control problems for delayed systems governed by Infinitely Anticipated Backward Stochastic Differential Equations (IABSDEs). Unlike existing frameworks limited to bounded delays, we introduce a generalized…

Optimization and Control · Mathematics 2025-12-22 Guanwei Cheng

This paper proposes a novel monitoring methodology for car-following control of automated vehicles that uses real-time measurements of spacing and velocity obtained through vehicle sensors. This study focuses on monitoring the time gap, a…

Systems and Control · Electrical Eng. & Systems 2021-02-02 Wissam Kontar , Soyoung Ahn

We propose a novel feedback controller for a class of uncertain higher-order nonlinear systems, subject to delays in both state measurement and control input signals. Building on the prescribed performance control framework, a…

Optimization and Control · Mathematics 2025-09-11 Thomas Berger , Lampros N. Bikas , Jan Hachmeister , George A. Rovithakis

We propose here a method to estimate a delay from a time series taking advantage of analysis of random walks with delay. This method is applicable to a time series coming out of a system which is or can be approximated as a linear feedback…

Statistical Mechanics · Physics 2009-10-30 Toru Ohira , Ryusuke Sawatari

Systems of differential equations with state-dependent delay are considered. The delay dynamically depends on the state i.e. is governed by an additional differential equation. By applying the time transformations we arrive to constant…

Classical Analysis and ODEs · Mathematics 2017-06-29 A. V. Rezounenko

Keeping a quantum system in a given instantaneous eigenstate is a control problem with numerous applications, e.g., in quantum information processing. The problem is even more challenging in the setting of open quantum systems, where…

Quantum Physics · Physics 2016-11-02 Jun Jing , Marcelo S. Sarandy , Daniel A. Lidar , Da-Wei Luo , Lian-Ao Wu

A new time-delay estimation (TDE) technique based on dynamic programming is developed, to measures the time-varying time-delay between two signals. Dynamic programming based TDE technique provides a frequency response 5 to 10 times higher…

Plasma Physics · Physics 2010-01-11 Deepak K. Gupta , George R. McKee , Raymond R. Fonck

Applications related to artificial intelligence, machine learning, and system identification simulations essentially use eigenvectors. Calculating eigenvectors for very large matrices using conventional methods is compute-intensive and…

Performance · Computer Science 2020-06-17 Shrey Dabhi , Manojkumar Parmar
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