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We propose and demonstrate a nonlinear control method that can be applied to unknown, complex systems where the controller is based on a type of artificial neural network known as a reservoir computer. In contrast to many modern…

Systems and Control · Electrical Eng. & Systems 2020-10-07 Daniel Canaday , Andrew Pomerance , Daniel J Gauthier

A new network data transmission strategy was proposed in Zhang \& Chen [2005] (arXiv:1405.2404), where the resulting nonlinear system was analyzed and the effectiveness of the transmission strategy was demonstrated via simulations. In this…

Chaotic Dynamics · Physics 2015-06-19 Guofeng Zhang , Guanrong Chen , Tongwen Chen , Maria D'Amico

Due to the enormous technological improvements obtained in the last decades it is possible to use robotic vehicles for underwater exploration. This work describes the development of a dynamic positioning system for remotely operated…

In this paper, we investigate the fixed-time behavioral control problem for a team of second-order nonlinear agents, aiming to achieve a desired formation with collision/obstacle~avoidance. In the proposed approach, the two behaviors(tasks)…

Optimization and Control · Mathematics 2021-03-12 Ning Zhou , Xiaodong Cheng , Zhongqi Sun , Yuanqing Xia

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

In this paper we develop novel results on self triggering control of nonlinear systems, subject to perturbations and actuation delays. First, considering an unperturbed nonlinear system with bounded actuation delays, we provide conditions…

Optimization and Control · Mathematics 2011-08-29 M. D. Di Benedetto , S. Di Gennaro , A. D'Innocenzo

Scheduling in the presence of uncertainty is an area of interest in artificial intelligence due to the large number of applications. We study the problem of dynamic controllability (DC) of disjunctive temporal networks with uncertainty…

Artificial Intelligence · Computer Science 2021-08-03 Kevin Osanlou , Jeremy Frank , J. Benton , Andrei Bursuc , Christophe Guettier , Eric Jacopin , Tristan Cazenave

This paper proposes a computationally efficient framework, based on interval analysis, for rigorous verification of nonlinear continuous-time dynamical systems with neural network controllers. Given a neural network, we use an existing…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Saber Jafarpour , Akash Harapanahalli , Samuel Coogan

This paper deals with the tracking control problem for a very simple class of unknown nonlinear systems. In this paper, we presents a design strategy for tracking control of time-varying state constrained nonlinear systems in an adaptive…

Systems and Control · Electrical Eng. & Systems 2022-10-12 Pankaj Kumar Mishra , Nishchal K Verma

In response to the continuously changing feedstock supply and market demand for products with different specifications, the processes need to be operated at time-varying operating conditions and targets (e.g., setpoints) to improve the…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Lai Wei , Ryan McCloy , Jie Bao

The article sets and solves the task to control an error of the artificial neural network with variable signal conductivity. This kind of neural networks was especially developed to construct timetables. Behavior of such a neural network…

Optimization and Control · Mathematics 2016-08-17 Alexander Ignatenkov , Alexey Olshansky

Nonlinear robust control is pursued by overcoming the drawback of linear robust control that it ignores available information about existing nonlinearities and the resulting controllers may be too conservative, especially when the…

Systems and Control · Electrical Eng. & Systems 2019-12-30 Yongqiang Li , Chaolun Lu , Zhongsheng Hou , Yuanjing Feng

This paper considers a leader-following formation control problem for heterogeneous, second-order, uncertain, input-affine, nonlinear multi-agent systems modeled by a directed graph. A tunable, three-layer neural network (NN) is proposed…

Systems and Control · Electrical Eng. & Systems 2024-04-24 Kiarash Aryankia , Rastko R. Selmic

This study investigates how dynamical systems may be learned and modelled with a neuromorphic network which is itself a dynamical system. The neuromorphic network used in this study is based on a complex electrical circuit comprised of…

Disordered Systems and Neural Networks · Physics 2025-10-24 Yinhao Xu , Georg A. Gottwald , Zdenka Kuncic

The traditional quantum control theory focuses on linear quantum system. Here we show the effect of nonlinearity on quantum control of a two-level system, we find that the nonlinearity can change the controllability of quantum system.…

Quantum Physics · Physics 2015-05-13 W. Wang , J. Shen , X. X. Yi

In this paper, we consider a population of individuals who have actions and opinions, which coevolve, mutually influencing one another on a complex network structure. In particular, we formulate a control problem for this social network, in…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Roberta Raineri , Mengbin Ye , Lorenzo Zino

The vast majority of strategies aimed at controlling contagion processes on networks considers the connectivity pattern of the system as either quenched or annealed. However, in the real world many networks are highly dynamical and evolve…

Physics and Society · Physics 2015-06-17 Suyu Liu , Nicola Perra , Marton Karsai , Alessandro Vespignani

Brains need to predict how the body reacts to motor commands. It is an open question how networks of spiking neurons can learn to reproduce the non-linear body dynamics caused by motor commands, using local, online and stable learning…

Neurons and Cognition · Quantitative Biology 2017-11-30 Aditya Gilra , Wulfram Gerstner

In this paper, we propose a system-level approach for verifying the safety of neural network controlled systems, combining a continuous-time physical system with a discrete-time neural network based controller. We assume a generic model for…

Artificial Intelligence · Computer Science 2020-11-11 Arthur Clavière , Eric Asselin , Christophe Garion , Claire Pagetti

This work provides a framework for nonlinear model-free control of systems with unknown input-output dynamics, but outputs that can be controlled by the inputs. This framework leads to real-time control of the system such that a feasible…

Systems and Control · Electrical Eng. & Systems 2019-08-13 Amit K. Sanyal