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The stability analysis of a class of discontinuous discrete-time systems is studied in this paper. The system under study is modeled as a feedback interconnection of a linear system and a set-valued nonlinearity. An equivalent…

Systems and Control · Electrical Eng. & Systems 2022-08-12 Francesco Ferrante , Giorgio Valmorbida

This paper presents advances towards the data-based control of periodic oscillator flows, from their fully-developed regime to their equilibrium stabilized in closed-loop, with linear time-invariant (LTI) controllers. The proposed approach…

Fluid Dynamics · Physics 2024-04-15 W. Jussiau , C. Leclercq , F. Demourant , P. Apkarian

Designing a static state-feedback controller subject to structural constraint achieving asymptotic stability is a relevant problem with many applications, including network decentralized control, coordinated control, and sparse feedback…

Optimization and Control · Mathematics 2021-06-03 Francesco Ferrante , Fabrizio Dabbene , Chiara Ravazzi

We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time control of optical systems. We apply the…

Stabilization of linear systems with unknown dynamics is a canonical problem in adaptive control. Since the lack of knowledge of system parameters can cause it to become destabilized, an adaptive stabilization procedure is needed prior to…

Systems and Control · Computer Science 2018-07-25 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

We develop a predictor-feedback control design for multi-input nonlinear systems with distinct input delays, of arbitrary length, in each individual input channel. Due to the fact that different input signals reach the plant at different…

Optimization and Control · Mathematics 2015-08-25 Nikolaos Bekiaris-Liberis , Miroslav Krstic

We study the output feedback exponential stabilization for a 1-d wave PDE with dynamic boundary. With only one measurement, we construct an infinite-dimensional state observer to trace the state and design an estimated state based…

Optimization and Control · Mathematics 2021-05-04 Zhan-Dong Mei

We propose and analyze a stabilizing iteration scheme for the algorithmic implementation of model predictive control for linear discrete-time systems. Polytopic input and state constraints are considered and handled by means of so-called…

Optimization and Control · Mathematics 2016-04-07 Christian Feller , Christian Ebenbauer

A class of nonlinear control-affine systems with bounded time-varying drift is considered. It is assumed that the control vector fields together with their iterated Lie brackets satisfy Hormander's condition in a neighborhood of the origin.…

Optimization and Control · Mathematics 2020-02-07 Victoria Grushkovskaya , Alexander Zuyev

Suppose that a continuous-time linear infinite-dimensional system with a static state-feedback controller is strongly stable. We address the following question: If we convert the continuous-time controller to a sampled-data controller by…

Optimization and Control · Mathematics 2021-09-21 Masashi Wakaiki

This paper revisits the event-triggered control problem from a data-driven perspective, where unknown continuous-time linear systems subject to disturbances are taken into account. Using data information collected off-line instead of…

Systems and Control · Electrical Eng. & Systems 2025-01-06 Tao Xu , Zhiyong Sun , Guanghui Wen , Zhisheng Duan

In this paper, we will propose linear-matrix-inequality-based techniques for the design of sampled-data controllers that render the closed-loop system dissipative with respect to \textcolor{blue}{quadratic supply functions}, which includes…

Systems and Control · Electrical Eng. & Systems 2024-03-14 L. M. Spin , M. C. F. Donkers

This paper discusses nonlinear proportional-integral (PI) current control with anti-windup of reluctance synchronous machines (RSMs) for which the flux linkage maps are known. The nonlinear controller design is based on the tuning rule…

Systems and Control · Computer Science 2016-03-09 C. M. Hackl , M. J. Kamper , J. Kullick , J. Mitchell

This paper develops and analyzes feedback-based online optimization methods to regulate the output of a linear time-invariant (LTI) dynamical system to the optimal solution of a time-varying convex optimization problem. The design of the…

Optimization and Control · Mathematics 2018-05-31 Marcello Colombino , Emiliano Dall'Anese , Andrey Bernstein

This paper study the hyperexponential stabilization for infinite-dimensional system on Hilbert space by a distributed time depending control law. The well-posedness of the closed loop for every time is obtained through the use of maximal…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Moussa Labbadi , Christophe Roman

We consider the stability analysis of feedback systems with rectified linear unit (ReLU) activations, and model this problem with polynomial optimization. Stability can be certified by means of copositive multipliers in the framework of…

Optimization and Control · Mathematics 2025-07-28 Victor Magron , Yoshio Ebihara , Shingo Nishinaka , Dimitri Peaucelle , Rin Saeki , Tsuyoshi Yuno , Sophie Tarbouriech

This paper is concerned with incremental stability properties of nonlinear systems. We propose conditions to compute an upper bound on the incremental L2-gain and to assess incremental asymptotic stability of piecewise-affine (PWA) systems.…

Systems and Control · Computer Science 2016-11-28 Sérgio Waitman , Paolo Massioni , Laurent Bako , Gérard Scorletti , Vincent Fromion

This paper is concerned with system of magnetic effected piezoelectric beams with interior time-varying delay and time-dependent weights, in which the beam is clamped at the two side points subject to a single distributed state feedback…

Analysis of PDEs · Mathematics 2021-02-15 Aowen Kong , Wenjun Liu , Yanning An

The increase in available data and complexity of dynamical systems has sparked the research on data-based system performance analysis and controller design. Recent approaches can guarantee performance and robust controller synthesis based…

Systems and Control · Electrical Eng. & Systems 2022-02-21 Tom R. V. Steentjes , Mircea Lazar , Paul M. J. Van den Hof

Resilient systems are able to recover quickly and easily from disturbed system states that might result from hazardous events or malicious attacks. In this paper a novel resilience metric for linear time invariant systems is proposed: the…

Systems and Control · Electrical Eng. & Systems 2021-08-23 Johannes Börner , Florian Steinke