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This paper presents an adaptive tracking control method for a class of nonlinearly parameterized MIMO dynamic systems with time-varying delay and unknown nonlinear dead-zone inputs. A new high dimensional integral Lyapunov-Krasovskii…

Systems and Control · Computer Science 2015-06-26 Zhijun Li , Ziting Chen , Jun Fu , Changyin Sun

In this paper, we consider optimal control problems derived by stochastic systems with delay, where control domains are non-convex and the diffusion coefficients depend on control variables. By an estimate of the integral of…

Optimization and Control · Mathematics 2022-10-25 Qixia Zhang

Very high dimensional nonlinear systems arise in many engineering problems due to semi-discretization of the governing partial differential equations, e.g. through finite element methods. The complexity of these systems present…

Optimization and Control · Mathematics 2022-09-15 Florian Mahlknecht , John Irvin Alora , Shobhit Jain , Edward Schmerling , Riccardo Bonalli , George Haller , Marco Pavone

The purpose of this article is to introduce the original results which devoted with the nonlinear control system problems involves of nonlinear differential equations of fractional orders. Thus, this system is described with a mixed of…

Optimization and Control · Mathematics 2024-04-09 B. Hassoun , R. Al-Saphory , S. Hassan

Feedback control plays a central role in active matter, yet it is inevitably accompanied by noise and finite perception--action delays. This Perspective reviews recent advances on active systems with delayed interactions, showing how time…

Soft Condensed Matter · Physics 2026-03-19 Viktor Holubec , Frank Cichos

We introduce a nonlocal control condition and the notion of approximate controllability for fractional order quasilinear control inclusions. Approximate controllability of a fractional control nonlocal delay quasilinear functional…

Optimization and Control · Mathematics 2014-06-23 Amar Debbouche , Delfim F. M. Torres

This article is devoted to addressing the cloud control of connected vehicles, specifically focusing on analyzing the effect of bi-directional communication-induced delays. To mitigate the adverse effects of such delays, a novel…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Ji-An Pan , Qing Xu , Keqiang Li , Chunying Yang , Jianqiang Wang

In this paper, we exploit a diagonally dominant structure for the decentralized stabilization of unknown nonlinear time-delayed networks. To this end, we first introduce a novel generalization of virtual contraction analysis to diagonally…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Yu Kawano , Zhiyong Sun

Given a finite-dimensional time continuous control system and $\varepsilon>0$, we address the question of the existence of controls that maintain the corresponding state trajectories in the $\varepsilon$-neighborhood of any prescribed path…

Optimization and Control · Mathematics 2025-11-18 Manuel Rissel , Marius Tucsnak

In this paper, we analyze the effect of time delay dynamics on controller design for Unmanned Aerial Vehicles (UAVs) with vision based navigation. Time delay is an inevitable phenomenon in cyber-physical systems, and has important…

Robotics · Computer Science 2022-09-07 Muhammad Ahmed Humais , Mohamad Chehadeh , Igor Boiko , Yahya Zweiri

Dynamical systems can be prone to severe fluctuations due to the presence of chaotic dynamics. This paper explains for a toy chaotic economic model how such a system can be regulated by the application of relatively weak control to keep the…

Dynamical Systems · Mathematics 2018-01-31 Suddhasattwa Das , James Yorke

Predictive Feedback Control is an easy-to-implement method to stabilize unknown unstable periodic orbits in chaotic dynamical systems. Predictive Feedback Control is severely limited because asymptotic convergence speed decreases with…

Adaptation and Self-Organizing Systems · Physics 2015-03-17 Christian Bick , Christoph Kolodziejski , Marc Timme

In this paper, we study the stochastic optimal control problem for control system with time-varying delay. The corresponding stochastic differential equation is a kind of stochastic differential delay equation. We prove the existence and…

Optimization and Control · Mathematics 2024-01-17 Yuhang Li , Yuecai Han

In this paper we study stochastic control problems with delayed information, that is, the control at time $t$ can depend only on the information observed before time $t-H$ for some delay parameter $H$. Such delay occurs frequently in…

Probability · Mathematics 2018-08-23 Yuri F. Saporito , Jianfeng Zhang

The data generated by long-delayed dynamical systems can be organized in patterns by means of the so-called spatio-temporal representation, uncovering the role of multiple time-scales as independent degrees of freedom. However, their…

Chaotic Dynamics · Physics 2018-12-19 Francesco Marino , Giovanni Giacomelli

Layered control is essential for managing complexity in large-scale systems, employing progressively coarser models at higher layers. While significant advances have been made for fully observable systems, the theoretical foundations of…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Charis Stamouli , Anastasios Tsiamis , George J. Pappas

Area preserving maps provide the simplest and most accurate means to visualize and quantify the behavior of nonlinear systems. Convenience of the mapping equations of motion for investigation of transition to chaotic behavior in dynamics of…

chao-dyn · Physics 2007-05-23 B. Kaulakys

We investigate feedback control of linear quantum systems subject to feedback-loop time delays. In particular, we examine the relation between the potentially achievable control performance and the time delays, and provide theoretical…

Quantum Physics · Physics 2013-05-29 Kazunori Nishio , Kenji Kashima , Jun-ichi Imura

Time--delayed feedback is exploited for controlling noise--induced motion in coherence resonance oscillators. Namely, under the proper choice of time delay, one can either increase or decrease the regularity of motion. It is shown that in…

Statistical Mechanics · Physics 2009-11-10 N. B. Janson , A. G. Balanov , E. Schoell

We experimentally observe the nonlinear dynamics of an optoelectronic time-delayed feedback loop designed for chaotic communication using commercial fiber optic links, and we simulate the system using delay differential equations. We show…

Chaotic Dynamics · Physics 2009-08-24 Adam B. Cohen , Bhargava Ravoori , Thomas E. Murphy , Rajarshi Roy