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This text aims at providing a bird's eye view of system identification with special attention to nonlinear systems. The driving force is to give a feeling for the philosophical problems facing those that build mathematical models from data.…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Luis Antonio Aguirre

In this paper, a high-order nonlinear continuous integral-derivative observer is presented based on finite-time stability and singular perturbation technique. The proposed integral-derivative observer can not only obtain the multiple…

Systems and Control · Computer Science 2015-05-15 Xinhua Wang , Bijan Shirinzadeh

A simply structured distributed observer is described for estimating the state of a continuous-time, jointly observable, input-free, linear system whose sensed outputs are distributed across a time-varying network. It is explained how to…

Systems and Control · Electrical Eng. & Systems 2020-03-05 Lili Wang , Ji Liu , A. Stephen Morse

We address the problem of state estimation and attack isolation for general discrete-time nonlinear systems when sensors are corrupted by (potentially unbounded) attack signals. For a large class of nonlinear plants and observers, we…

Systems and Control · Computer Science 2019-04-10 Tianci Yang , Carlos Murguia , Margreta Kuijper , Dragan Nesic

The problem of partial stabilization for nonlinear control systems described by the Ito stochastic differential equations is considered. For these systems, we propose a constructive control design method which leads to establishing the…

Optimization and Control · Mathematics 2020-06-02 Alexander Zuyev , Iryna Vasylieva

This paper investigates the car-following problem and proposes a nonlinear controller that considers driving comfort, safety concerns, steady-state response and transient response. This controller is designed based on the demands of lower…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Wubing B. Qin

The method to design exponentially stable adaptive observers is proposed for linear time-invariant systems parameterized by unknown physical parameters. Unlike existing adaptive solutions, the system state-space matrices A, B are not…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Anton Glushchenko , Konstantin Lastochkin

The distributed observer design problem holds significant importance in cases in which the output information of a system is decentralized across different subsystems. Each subsystem has a local observer and access to one part of the…

Dynamical Systems · Mathematics 2024-02-13 Haotian Xu , Shuai Liu , Bohui Wang , Jingcheng Wang

We introduce a complete analytical and numerical study of the modulational instability process in a system governed by a canonical nonlinear Schr\"odinger equation involving local, arbitrary nonlinear responses to the applied field. In…

Pattern Formation and Solitons · Physics 2015-01-08 David Novoa , Daniele Tommasini , José A. Nóvoa-López

We examine nonlinear dynamical systems of ordinary differential equations or differential algebraic equations. In an uncertainty quantification, physical parameters are replaced by random variables. The inner variables as well as a quantity…

Numerical Analysis · Mathematics 2019-04-15 Roland Pulch

This paper addresses the leader-following consensus problem for discrete-time positive multi-agent systems over time-varying graphs. We assume that the followers may have mutually different positive dynamics which can also be different from…

Systems and Control · Electrical Eng. & Systems 2023-10-17 Ruonan Li , Yichen Zhang , Yutao Tang , Shurong Li

Dynamical models are often corrupted by model uncertainties, external disturbances, and measurement noise. These factors affect the performance of model-based observers and as a result, affect the closed-loop performance. Therefore, it is…

Systems and Control · Electrical Eng. & Systems 2023-06-14 Yasmine Marani , Ibrahima N'Doye , Taous-Meriem Laleg-Kirati

Public observatory project is playing more and more important role in science popularization education and scientific research, and many amateur astronomers also have began to build their own observatories in remote areas. As a result of…

Instrumentation and Methods for Astrophysics · Physics 2018-01-19 Jun Han , Dongwei Fan , Chenzhou Cui , Chuanzhong Wang , Shanshan Li , Linying Mi , Zheng Li , Yunfei Xu , Boliang He , Changhua Li , Yihan Tao , Sisi Yang

Numerous complex systems, such as those arisen in ecological networks, genomic contact networks, and social networks, exhibit higher-order and time-varying characteristics, which can be effectively modeled using temporal hypergraphs.…

Systems and Control · Electrical Eng. & Systems 2024-08-23 Anqi Dong , Xin Mao , Can Chen

Recent experiments have demonstrated the ability to manipulate nonlinear interactions via time modulation, giving rise to the so-called stroboscopic nonlinearity. To date, however, this phenomenon has not been subjected to a rigorous…

The Generalized Super-Twisting Observer (GSTO) is extended for a strongly observable class of nonlinearly interconnected systems with bounded uncertainties/perturbations. A nonsmooth strong Lyapunov function is used to prove the finite-time…

Systems and Control · Electrical Eng. & Systems 2025-06-03 Rania Tafat , Jaime A. Moreno , Stefan Streif

This paper is devoted to normal forms for x-flat control-affine systems with two inputs. We propose a general triangular normal form which contains several other normal forms discussed in the literature as special cases. We derive…

Dynamical Systems · Mathematics 2024-11-05 Conrad Gstöttner , Bernd Kolar , Markus Schöberl

This paper frames a general prediction system as an observer traveling around a continuous space, measuring values at some locations, and predicting them at others. The observer is completely agnostic about any particular task being solved;…

Neural and Evolutionary Computing · Computer Science 2021-03-24 Elliot Meyerson , Risto Miikkulainen

Observability is a modelling property that describes the possibility of inferring the internal state of a system from observations of its output. A related property, structural identifiability, refers to the theoretical possibility of…

Quantitative Methods · Quantitative Biology 2018-12-12 Alejandro F. Villaverde

This paper deals with the problem of predicting the future state of discrete-time input-delayed systems in the presence of unknown disturbances that can affect both the state and the output equations of the plant. Since the disturbance is…

Systems and Control · Electrical Eng. & Systems 2022-08-10 Thiago Alves Lima , Valessa V. Viana , Bismark C. Torrico , Fabrício G. Nogueira , Diego de S. Madeira
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