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We develop a formal framework for the behavioral comparison of linear systems across different time domains. We accomplish this by introducing the notion of system interpolation, which determines whether the input-state trajectories of a…

Optimization and Control · Mathematics 2026-02-26 Armin Pirastehzad , Bart Besselink

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 paper is concerned with fault/disturbance compensation control for fully actuated systems. In particular, we explore observer-based control, incorporating an active compensation mechanism. First, we propose a novel observer with…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Weijie Ren , Guang-Ren Duan , Ping Li , He Kong

This paper discusses stability and robustness properties of a recently proposed observer algorithm for linear time varying systems. The observer is based on the approximation and subsequent modification of the non-negative Lyapunov…

Optimization and Control · Mathematics 2018-09-19 Markus Tranninger , Sergiy Zhuk , Martin Steinberger , Leonid Fridman , Martin Horn

An analytical method for investigation of the evolution of dynamical systems {\it with independent on time accuracy} is developed for perturbed Hamiltonian systems. The error-free estimation using of computer algebra enables the application…

Instrumentation and Methods for Astrophysics · Physics 2016-12-13 A. V. Gurzadyan , A. A. Kocharyan

The problem of state estimation for a system of coupled hyperbolic PDEs and ODEs with Lipschitz nonlinearities with boundary measurements is considered. An infinite dimensional observer with a linear boundary injection term is used to solve…

Systems and Control · Electrical Eng. & Systems 2021-01-19 Francesco Ferrante , Andrea Cristofaro

A basic result in synchronization of linear systems via output coupling is presented. For identical discrete-time linear systems that are detectable from their outputs and neutrally stable, it is shown that a linear output feedback law…

Dynamical Systems · Mathematics 2008-01-21 S. Emre Tuna

This paper studies nonlinear observer design for rigid-body extended pose estimation using inertial measurements and generic exteroceptive sensing. The estimation problem is formulated as a cascade architecture that separates translational…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Sifeddine Benahmed , Tarek Hamel , Soulaimane Berkane

In this paper, we present a data-driven controller design method for continuous-time nonlinear systems, using no model knowledge but only measured data affected by noise. While most existing approaches focus on systems with polynomial…

Systems and Control · Electrical Eng. & Systems 2022-02-11 Robin Strässer , Julian Berberich , Frank Allgöwer

A direct coupling coherent observer is constructed for a linear quantum plant which has oscillatory solutions. It is shown that a finite time moving average of the quantum observer output can provide an estimate of the quantum plant output…

Quantum Physics · Physics 2017-06-21 Ian R. Petersen

In this chapter, we introduce two interval observer designs for discrete-time (DT) and continuous-time (CT) nonlinear systems with bounded Jacobians that are affected by bounded uncertainties. Our proposed methods utilize the concepts of…

Systems and Control · Electrical Eng. & Systems 2024-10-15 Mohammad Khajenejad , Tarun Pati , Sze Zheng Yong

In this paper we propose dynamic output-feedback controller synthesis methods for discrete-time linear time-invariant systems. The synthesis goal is either to achieve dissipativity with respect to a given quadratic supply rate, or to…

Optimization and Control · Mathematics 2026-05-27 Pietro Kristović , Andrej Jokić , Mircea Lazar

Motivated by the need to predict dangerous scenarios, this article introduces a non-linear dynamic model for motorcycles consisting of four rigid bodies. Using Jourdain's principle, the model incorporates both longitudinal and lateral…

Systems and Control · Electrical Eng. & Systems 2024-10-11 Tychique Nzalalemba Kabwangala , Ziad Alkhoury , Jawwad Ahmed , Mihaly Petreczky , Laurentiu Hetel , Lotfi Belkoura

Nonlinear dynamic models are widely used for characterizing functional forms of processes that govern complex biological pathway systems. Over the past decade, validation and further development of these models became possible due to data…

Methodology · Statistics 2019-08-13 Itai Dattner , Shota Gugushvili , Harold Ship , Eberhard O. Voit

In this paper we consider estimating the system parameters and designing stable observer for unknown noisy linear time-invariant (LTI) systems. We propose a Support Vector Regression (SVR) based estimator to provide adjustable asymmetric…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Xuda Ding , Han Wang , Jianping He , Cailian Chen , Xinping Guan

We discuss a design approach for nonlinear discrete-time adaptive observer. This involves transforming a nonlinear system into a quasi-LPV (Linear Parameter Varying) polytopic model in Takagi-Sugeno (T-S) form using nonlinear embedding and…

Optimization and Control · Mathematics 2017-04-19 Krishnan Srinivasarengan , José Ragot , Christophe Aubrun , Didier Maquin

This paper deals with the simultaneous estimation of the attitude, position and linear velocity for vision-aided inertial navigation systems. We propose a nonlinear observer on $SO(3)\times \mathbb{R}^{15}$ relying on body-frame…

Optimization and Control · Mathematics 2021-06-08 Miaomiao Wang , Soulaimane Berkane , Abdelhamid Tayebi

Dynamical systems are used to model a variety of phenomena in which the bifurcation structure is a fundamental characteristic. Here we propose a statistical machine-learning approach to derive lowdimensional models that automatically…

Quantitative Methods · Quantitative Biology 2015-06-11 Yohei Kondo , Kunihiko Kaneko , Shuji Ishihara

This article addresses the problem of state observer design for continuous-time linear positive networked systems. Considering the bandwidth constraint in the communication network, an event-measurement-based positive observer design is…

Systems and Control · Electrical Eng. & Systems 2025-08-06 Bhargavi Chaudhary , Krishanu Nath , Subashish Datta , Indra Narayan Kar

Generalized parameter estimation-based observers have proven very successful to deal with systems described in state-affine form. In this paper, we enlarge the domain of applicability of this method proposing an algebraic procedure to…

Systems and Control · Electrical Eng. & Systems 2024-11-19 Romeo Ortega , Alexey Bobtsov , Jose Guadalupe Romero , Leyan Fang
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