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This paper addresses, for the first time in the literature, optimal control problems for dynamic systems governed by a novel class of sweeping processes with time delay. We establish well-posedness of such processes, in the sense of the…

Optimization and Control · Mathematics 2024-10-01 Boris Mordukhovich , Dao Nguyen , Trang Nguyen , Norma Ortiz-Robinson , Vinicio Ríos

We establish the internal exact controllability of a refined stochastic hyperbolic equation by deriving a suitable observability inequality via Carleman estimates for the associated backward stochastic hyperbolic equation. In contrast to…

Optimization and Control · Mathematics 2025-04-15 Zengyu Li , Zhonghua Liao , Qi Lü

Proportional control can be realized directly through the amplification of analog signals, and it also has the advantage of easy tuning parameters in digital signal control. However, it is difficult for the proportional control to preset…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Wen Yan , Tao Zhao

In this paper an artificial delay based impedance controller is proposed for robotic manipulators with uncertainty in dynamics. The control law unites the time delayed estimation (TDE) framework with a second order switching controller of…

Robotics · Computer Science 2022-08-23 Udayan Banerjee , Bhabani Shankar Dey , Indra Narayan Kar , Subir Kumar Saha

This paper presents a mathematical approach for improving the performance of a control system by modifying the time delay at certain operating conditions. This approach converts a continuous time loop into a discrete time loop. The formula…

Systems and Control · Computer Science 2015-03-03 Salem Alkhalaf

Precision contouring control is crucial in industrial machining processes, particularly for applications such as laser and water jet cutting, where contouring accuracy directly determines product quality. This paper presents a novel control…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Meng Yuan , Tianyou Chai

In this paper we present a direct adaptive control method for a class of uncertain nonlinear systems with a time-varying structure. We view the nonlinear systems as composed of a finite number of ``pieces,'' which are interpolated by…

Optimization and Control · Mathematics 2007-05-23 R. Ordonez , K. M. Passino

We consider a stochastic optimal control problem governed by a stochastic differential equation with delay in the control. Using a result of existence and uniqueness of a sufficiently regular mild solution of the associated…

Probability · Mathematics 2021-03-22 F. Gozzi , F. Masiero

Various controllability conditions have been obtained by researchers for heterogeneous networked systems with linear dynamics. However, the literature for nonlinear, heterogeneous networked systems is comparatively less. In this paper we…

Optimization and Control · Mathematics 2024-12-18 Aleena Thomas , Abhijith Ajayakumar , Raju K. George

We investigate the transient times for the onset of control of steady states by time-delayed feedback. The optimization of control by minimising the transient time before control becomes effective is discussed analytically and numerically,…

Adaptation and Self-Organizing Systems · Physics 2009-12-10 Robert C. Hinz , Philipp Hövel , Eckehard Schöll

In this paper we consider a class of linear time invariant systems with infinitely many unstable modes. By using the parameterization of all stabilizing controllers, we show that H-infinity controllers for such systems can be computed using…

Systems and Control · Electrical Eng. & Systems 2020-03-03 Suat Gumussoy , Hitay Ozbay

Due to simplicity and strong stability guarantees, predictor feedback methods have stood as a popular approach for time delay systems since the 1950s. For time-varying delays, however, implementation requires computing a prediction horizon…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Luke Bhan , Miroslav Krstic , Yuanyuan Shi

Sufficient and necessary conditions are established for controllability of affine control systems where the control is constrained to a set whose convex hull contains the origin but is not necessarily, in contrast with previously known…

Optimization and Control · Mathematics 2025-12-10 Jean-Baptiste Caillau , Lamberto Dell'Elce , Alesia Herasimenka , Jean-Baptiste Pomet

We study the stability of unstable steady states in scalar retarded time-delayed systems subjected to a variable-delay feedback control. The important aspect of such a control problem is that time-delayed systems are already…

Chaotic Dynamics · Physics 2010-07-08 Aleksandar Gjurchinovski , Viktor Urumov

We address the problem of controllability of the MHD system in a rectangular domain with a control prescribed on the side boundary. We identify a necessary and sufficient condition on the data to be null controllable, i.e., can be driven to…

Analysis of PDEs · Mathematics 2021-08-30 Igor Kukavica , Matthew Novack , Vlad Vicol

This paper is concerned with mismatched disturbance rejection control for the second-order discrete-time systems.Different from previous work, the controllability of the system is applied to design the disturbance compensation gain, which…

Optimization and Control · Mathematics 2022-05-04 Shichao Lv , Kai Peng , Hongxia Wang , Huanshui Zhang

We will consider exact controllability of the distributed system governed by the wave equation with memory. It will be proved that this mechanical system can be driven to rest in finite time, the absolute value of the distributed control…

Analysis of PDEs · Mathematics 2019-11-19 Igor Romanov , Alexey Shamaev

A quantum system subject to external fields is said to be controllable if these fields can be adjusted to guide the state vector to a desired destination in the state space of the system. Fundamental results on controllability are reviewed…

Nuclear Theory · Physics 2008-11-26 John W. Clark , Dennis G. Lucarelli , Tzyh-Jong Tarn

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

This paper establishes a unified framework connecting local controllability, necessary conditions for optimality, and attainability in free-time optimal control problems. The central object of our investigation is the $\Lambda$-set, which…

Optimization and Control · Mathematics 2025-12-05 Mohammad H. M. Rashid