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This paper studies the problem of online stabilization of an unknown discrete-time linear time-varying (LTV) system under bounded non-stochastic (potentially adversarial) disturbances. We propose a novel control algorithm based on convex…

Optimization and Control · Mathematics 2023-12-15 Jing Yu , Varun Gupta , Adam Wierman

Systems with delayed feedback can possess chaotic attractors with extremely high dimension, even if only a few physical degrees of freedom are involved. We propose a state space reconstruction from time series data of a scalar observable,…

chao-dyn · Physics 2019-08-17 Rainer Hegger , Martin J. Bünner , Holger Kantz , Antonino Giaquinta

This paper proposes a new algorithm for compensating external disturbances for class of multi-channel linear systems. The solution to this problem is based on the use of the internal model principle and the extended error adaptation…

Systems and Control · Electrical Eng. & Systems 2023-10-12 V. H. Bui , A. A. Margun

A robust controller is developed for uncertain, second-order nonlinear systems subject to simultaneous unknown, time-varying state delays and known, time-varying input delays in addition to additive, sufficiently smooth disturbances. An…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Nicholas Fischer , Serhat Obuz , Warren E. Dixon

In this paper, we address the problem of distributed state estimation for a discrete-time, linear time-invariant system. Building on the framework proposed in [2], we exploit the Jordan canonical form of the system matrix to develop a…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Giulio Fattore , Maria Elena Valcher , Rui Gao , Guang-Hong Yang

This paper proposes an algebraic observer-based modulating function approach for linear time-variant systems and a class of nonlinear systems with discrete measurements. The underlying idea lies in constructing an observability…

Systems and Control · Electrical Eng. & Systems 2024-01-29 Matti Noack , Ibrahima N'Doye , Johann Reger , Taous-Meriem Laleg-Kirati

In the present work, a simple algorithm for stabilizing an unknown linear time-invariant system is proposed, assuming only that this system is stabilizable. The suggested algorithm is based on first performing a partial identification of…

Optimization and Control · Mathematics 2022-11-14 Dennis Gramlich , Christian Ebenbauer

A large variety of dynamical systems, such as chemical and biomolecular systems, can be seen as networks of nonlinear entities. Prediction, control, and identification of such nonlinear networks require knowledge of the state of the system.…

Optimization and Control · Mathematics 2018-06-27 Aleksandar Haber , Ferenc Molnar , Adilson E. Motter

A symmetry-preserving, reduced-order state observer is presented for the unmeasured part of a system's state, where the nonlinear system dynamics exhibit symmetry under the action of a Lie group. Leveraging this symmetry with a moving…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Jeremy W. Hopwood , Craig A. Woolsey

In this report, we propose a new adaptive time filter algorithm for the unsteady Stokes/Darcy model. First we present a first order ${\theta}$-scheme with the variable time step which is one parameter family of Linear Multi-step methods and…

Numerical Analysis · Mathematics 2022-08-29 Yi Qin , Yang Wang , Yi Li , Jian Li

Learning how complex dynamical systems evolve over time is a key challenge in system identification. For safety critical systems, it is often crucial that the learned model is guaranteed to converge to some equilibrium point. To this end,…

Machine Learning · Computer Science 2021-12-13 Andreas Schlaginhaufen , Philippe Wenk , Andreas Krause , Florian Dörfler

This paper focuses on the state estimation problem in distributed sensor networks, where intermittent packet dropouts, corrupted observations, and unknown noise covariances coexist. To tackle this challenge, we formulate the joint…

Machine Learning · Statistics 2026-04-06 Peng Sun , Ruoyu Wang , Xue Luo

In this paper, we study the problem of designing a simultaneous mode, input, and state set-valued observer for a class of hidden mode switched nonlinear systems with bounded-norm noise and unknown input signals, where the hidden mode and…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Mohammad Khajenejad , Sze Zheng Yong

In this paper, we first study the leader-following output synchronization problem for a class of uncertain nonlinear multi-agent systems over jointly connected switching networks. Our approach integrates the output-based adaptive…

Optimization and Control · Mathematics 2024-11-04 Jie Huang

In this paper, existence conditions and a design procedure of reduced-order switched positive observers for continuous- and discrete-time switched positive linear systems with uncertainty are established. In the analyzed class, arbitrary…

Systems and Control · Electrical Eng. & Systems 2025-05-15 Naohisa Otsuka , Daiki Kakehi , Przemysław Ignaciuk

This work proposes a method for model-free synthesis of a state observer for nonlinear systems with manipulated inputs, where the observer is trained offline using a historical or simulation dataset of state measurements. We use the…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Moritz Woelk , Jarod Morris , Wentao Tang

In several model-based system maintenance problems, parameters are used to represent unknown characteristics of a component, equipment degradation, etc. This allows for modelling constant, slow-varying terms. The identifiability of these…

Optimization and Control · Mathematics 2020-03-24 Krishnan Srinivasarengan , José Ragot , Christophe Aubrun , Didier Maquin

This paper presents a data-driven approach for designing state observers for continuous-time nonlinear systems, where an extended dynamic mode decomposition (EDMD) procedure is used to identify an approximate linear lifted model. Since such…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Xiuzhen Ye , Wentao Tang

We propose an adaptive algorithm for identifying the unknown parameter in a linear exponentially stable single-input single-output infinite-dimensional system. We assume that the transfer function of the infinite-dimensional system can be…

Systems and Control · Electrical Eng. & Systems 2023-05-22 Sudipta Chattopadhyay , Srikant Sukumar , Vivek Natarajan

In several applications such as databases, planning, and sensor networks, parameters such as selectivity, load, or sensed values are known only with some associated uncertainty. The performance of such a system (as captured by some…

Data Structures and Algorithms · Computer Science 2010-01-28 Sudipto Guha , Kamesh Munagala