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This paper presents novel polytopic and interval observer designs for uncertain linear continuous-time (CT) and discrete-time (DT) systems subjected to bounded disturbances and noise. Our approach guarantees enclosure of the true state and…

Systems and Control · Electrical Eng. & Systems 2025-12-04 Feiya Zhu , Tarun Pati , Sze Zheng Yong

A physical nonlinear dynamical model of a laser diode is considered. We propose a feed-forward control scheme based on differential flatness for the design of input-current modulations to compensate diode distortions. The goal is to…

Optimization and Control · Mathematics 2007-09-25 A. Abichou S. Elasmi P. Rouchon

Discrete-time models are very convenient to simulate a nonlinear system on a computer. In order to build the discrete-time simulation models for the nonlinear feedback systems (which is a very important class of systems in many…

Systems and Control · Computer Science 2018-05-15 Rishi Relan , Johan Schoukens

We present a transformer-based speech-declipping model that effectively recovers clipped signals across a wide range of input signal-to-distortion ratios (SDRs). While recent time-domain deep neural network (DNN)-based declippers have…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-20 Younghoo Kwon , Jung-Woo Choi

Continuous-time neural processes are performant sequential decision-makers that are built by differential equations (DE). However, their expressive power when they are deployed on computers is bottlenecked by numerical DE solvers. This…

We discuss structure-preserving time discretization for nonlinear port-Hamiltonian systems with state-dependent mass matrix. Such systems occur, for instance, in the context of structure-preserving nonlinear model order reduction for…

Numerical Analysis · Mathematics 2023-11-02 Philipp Schulze

We propose the time-delayed transformer (TD-TF), a simplified transformer architecture for data-driven modeling of unsteady spatio-temporal dynamics. TD-TF bridges linear operator-based methods and deep sequence models by showing that a…

Machine Learning · Computer Science 2026-02-10 Albert Alcalde , Markus Widhalm , Emre Yılmaz

An effective modeling method for nonlinear distributed parameter systems (DPSs) is critical for both physical system analysis and industrial engineering. In this Rapid Communication, we propose a novel DPS modeling approach, in which a…

Data Analysis, Statistics and Probability · Physics 2015-06-26 Hai-Tao Zhang , Chen-Kun Qi , Tao Zhou , Han-Xiong Li

A backstepping-based compensator design is developed for a system of $2\times2$ first-order linear hyperbolic partial differential equations (PDE) in the presence of an uncertain long input delay at boundary. We introduce a transport PDE to…

Optimization and Control · Mathematics 2023-07-24 Jing Zhang , Jie Qi

TDS-CONTROL is an integrated MATLAB package for the analysis and controller-design of linear time-invariant (LTI) dynamical systems with (multiple) discrete delays, supporting both systems of retarded and neutral type. TDS-CONTROL is based…

Optimization and Control · Mathematics 2023-05-02 Pieter Appeltans , Wim Michiels

Continuous-time (CT) modeling has proven to provide improved sample efficiency and interpretability in learning the dynamical behavior of physical systems compared to discrete-time (DT) models. However, even with numerous recent…

Machine Learning · Computer Science 2023-01-24 Gerben I. Beintema , Maarten Schoukens , Roland Tóth

This paper addresses the problem of time series forecasting for non-stationary signals and multiple future steps prediction. To handle this challenging task, we introduce DILATE (DIstortion Loss including shApe and TimE), a new objective…

Machine Learning · Statistics 2019-11-12 Vincent Le Guen , Nicolas Thome

To effectively mitigate the influence of atmospheric turbulence, a novel discrete-time analog transmission free-space optical (DTAT-FSO) communication scheme is proposed. It directly maps information sources to discrete-time analog symbols…

Signal Processing · Electrical Eng. & Systems 2025-04-30 Hongyu Huang , Zhenming Yu , Yi Lei , Wei Zhang , Yongli Zhao , Shanguo Huang , Kun Xu

This paper addresses a new class of generalized Bolza problems governed by nonconvex integro-differential inclusions with endpoint constraints on trajectories, where the integral terms are given in the general (with time-dependent…

Optimization and Control · Mathematics 2024-10-07 Abderrahim Bouach , Tahar Haddad , Boris S. Mordukhovich

Volterra series representation is a powerful mathematical model for nonlinear circuits. However, the difficulties in determining higher-order Volterra kernels limited its broader applications. In this work, a systematic approach that…

Mathematical Physics · Physics 2016-05-13 Xiaoyan Y. Z. Xiong , Li Jun Jiang , Jose E. Schutt-Aine , Weng Cho Chew

Autonomous vehicle path following performance is one of significant consideration. This paper presents discrete time design of robust PD controlled system with disturbance observer (DOB) and communication disturbance observer (CDOB)…

Robotics · Computer Science 2023-06-06 Haoan Wang , Levent Guvenc

In modern 5G user equipments (UEs), the power amplifier (PA) contributes significantly to power consumption during uplink transmissions, especially in cell-edge scenarios. While reducing power backoff can enhance PA efficiency, it…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Daniel Schäufele , Jochen Fink , Renato L. G. Cavalcante , Sławomir Stańczak

This paper introduces a conversion matrix method for linear periodically time-variant (LPTV) digital phase-locked loop (DPLL) phase noise modeling that offers precise and computationally efficient results to enable rapid design iteration…

Signal Processing · Electrical Eng. & Systems 2024-07-01 Hongyu Lu , Patrick P. Mercier

The aim of this work is to investigate the use of Incrementally Input-to-State Stable ($\delta$ISS) deep Long Short Term Memory networks (LSTMs) for the identification of nonlinear dynamical systems. We show that suitable sufficient…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Fabio Bonassi , Alessio La Bella , Giulio Panzani , Marcello Farina , Riccardo Scattolini

This paper proposes a Time-Frequency Space Transformation (TFST) to derive non-orthogonal bases for modulation techniques over the delay-doppler plane. A family of Overloaded Delay-Doppler Modulation (ODDM) techniques is proposed based on…

Information Theory · Computer Science 2024-02-07 Mahdi Shamsi , Farokh Marvasti