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We propose a deep unfolding-based approach for stabilization of time-delay linear systems. Deep unfolding is an emerging framework for design and improvement of iterative algorithms and attracting significant attentions in signal…

最优化与控制 · 数学 2022-05-20 Masaki Ogura , Koki Kobayashi , Kenji Sugimoto

This paper investigates the linear output regulation problem with both the exosystem and the plant fully unknown. A data-driven regulator is proposed to achieve asymptotic regulation and closed-loop stability without performing model…

系统与控制 · 电气工程与系统科学 2025-12-08 Shangkun Liu , Lei Wang , Bowen Yi

In this article we present a novel discrete-time design approach which reduces the deteriorating effects of sampling on stability and performance in digitally controlled nonlinear mechanical systems. The method is motivated by recent…

系统与控制 · 电气工程与系统科学 2021-04-30 Paul Kotyczka , Tobias Thoma

We provide two solutions to the heretofore open problem of stabilization of systems with arbitrarily long delays at the input and output of a nonlinear system using output feedback only. Both of our solutions are global, employ the…

最优化与控制 · 数学 2011-08-24 Iasson Karafyllis , Miroslav Krstic

In this paper, we investigate the parameter identification problem in dynamical systems through a deep learning approach. Focusing mainly on second-order, linear time-invariant dynamical systems, the topic of damping factor identification…

机器学习 · 计算机科学 2021-07-07 Erdem Akagündüz , Oguzhan Cifdaloz

This paper characterizes self-oscillations in discrete-time linear time-invariant (LTI) relay feedback systems with nonnegative dead zone. Specifically, we aim to establish existence criteria for unimodal self-oscillations, defined as…

最优化与控制 · 数学 2026-03-17 Kang Tong , Christian Grussler , Michelle S. Chong

This paper deals with the data-driven synthesis of dissipative linear systems in discrete time. We collect finitely many noisy data samples with which we synthesise a controller that makes all systems that explain the data dissipative with…

最优化与控制 · 数学 2025-01-31 Encho T. Nguyen , Henk J. van Waarde

This paper studies the problem of event-triggered impulsive control for discrete-time systems. A novel periodic event-triggering scheme with two tunable parameters is presented to determine the moments of updating impulsive control signals…

最优化与控制 · 数学 2023-04-28 Kexue Zhang , Elena Braverman

Discrete-time systems under aperiodic sampling may serve as a modeling abstraction for a multitude of problems arising in cyber-physical and networked control systems. Recently, model- and data-based stability conditions for such systems…

系统与控制 · 电气工程与系统科学 2021-10-28 Stefan Wildhagen , Julian Berberich , Matthias Hirche , Frank Allgöwer

We consider a robust stabilization of the fourth-order oscillatory systems with non-collocated output sensing. Worth recalling is that the fourth-order systems are relatively common in mechatronics as soon as there are two-mass or more…

系统与控制 · 电气工程与系统科学 2023-06-13 Michael Ruderman

It is known that input-output approaches based on scaled small-gain theorems with constant $D$-scalings and integral linear constraints are non-conservative for the analysis of some classes of linear positive systems interconnected with…

最优化与控制 · 数学 2017-03-02 Corentin Briat

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,…

机器学习 · 计算机科学 2021-12-13 Andreas Schlaginhaufen , Philippe Wenk , Andreas Krause , Florian Dörfler

We study the effects of time delayed linear and nonlinear feedbacks on the dynamics of a single Hopf bifurcation oscillator. Our numerical and analytic investigations reveal a host of complex temporal phenomena such as phase slips,…

chao-dyn · 物理学 2009-10-31 D. V. Ramana Reddy , A. Sen , G. L. Johnston

Time delays are ubiquitous in industry and nature, and they significantly affect both transient dynamics and stability properties. Consequently, it is often necessary to identify and account for the delays when, e.g., designing a…

动力系统 · 数学 2024-05-14 Tobias K. S. Ritschel , John Wyller

Many nonlinear dynamical systems can be written as Lure systems, which are described by a linear time-invariant system interconnected with a diagonal static sector-bounded nonlinearity. Sufficient conditions are derived for the global…

系统与控制 · 计算机科学 2015-09-07 Kwang-Ki K. Kim , Richard D. Braatz

This paper concerns identification of uncontrolled or closed loop nonlinear systems using a set of trajectories that are generated by the system in a domain of attraction. The objective is to ensure that the trajectories of the identified…

系统与控制 · 电气工程与系统科学 2022-10-25 Moad Abudia , Joel A. Rosenfeld , Rushikesh Kamalapurkar

In this paper a procedure is described which allows to identify new systems of nonlinear recursions whose solutions are controllable and which may be asymptotically isochronous as functions of the independent variable (considered a ticking…

可精确求解与可积系统 · 物理学 2024-10-21 Francesco Calogero

We analyze the statistical performance of identification of stochastic dynamical systems with non-linear measurement sensors. This includes stochastic Wiener systems, with linear dynamics, process noise and measured by a non-linear sensor…

最优化与控制 · 数学 2018-05-24 Bo Wahlberg , Lennart Ljung

This work studies the design problem of feedback stabilizers for discrete-time systems with input delays. A backstepping procedure is proposed for disturbance-free discrete-time systems. The feedback law designed by using backstepping…

最优化与控制 · 数学 2012-12-05 Iasson Karafyllis , Miroslav Krstic

This paper concerns the problem of adaptive output regulation for multivariable nonlinear systems in normal form. We present a regulator employing an adaptive internal model of the exogenous signals based on the theory of nonlinear…

系统与控制 · 电气工程与系统科学 2020-09-16 Michelangelo Bin , Pauline Bernard , Lorenzo Marconi