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This paper proposes a stabilizing state-feedback control law for vector-valued state systems with a scalar control input, governed by a general class of integral difference equations that incorporate both pointwise and distributed input…

Optimization and Control · Mathematics 2026-05-27 Adam Braun , Jean Auriol , Lucas Brivadis

We develop a switched nonlinear predictor-feedback control law to achieve global asymptotic stabilization for nonlinear systems with arbitrarily long input delay, under state quantization. The proposed design generalizes the nonlinear…

Optimization and Control · Mathematics 2025-01-27 Florent Koudohode , Nikolaos Bekiaris-Liberis

This paper investigates the output feedback stabilization of parabolic equation with Lipschitz nonlinearity over general multidimensional domain using spectral geometry theories. First, a novel nonlinear observer is designed, and the error…

Optimization and Control · Mathematics 2026-01-21 Kai Liu , Hua-Cheng Zhou , Zhong-Jie Han , Xiangyang Peng

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…

Optimization and Control · Mathematics 2012-12-05 Iasson Karafyllis , Miroslav Krstic

In this paper, we study the control of the linear heat equation with a space and time dependent coefficient function by the Dirichlet and Neumann boundary control laws. This equation models the heat diffusion and space, time dependent heat…

Optimization and Control · Mathematics 2007-05-23 Junji Jia

The purpose of this article is to introduce the original results which devoted with the nonlinear control system problems involves of nonlinear differential equations of fractional orders. Thus, this system is described with a mixed of…

Optimization and Control · Mathematics 2024-04-09 B. Hassoun , R. Al-Saphory , S. Hassan

We analyze the stabilization of unstable steady states by delayed feedback control with a periodic time-varying delay in the regime of a high-frequency modulation of the delay. The average effect of the delayed feedback term in the control…

Chaotic Dynamics · Physics 2013-09-20 Aleksandar Gjurchinovski , Thomas Jüngling , Viktor Urumov , Eckehard Schöll

This paper deals with the problem of boundary stabilization of first-order n\times n inhomogeneous quasilinear hyperbolic systems. A backstepping method is developed. The main result supplements the previous works on how to design…

Optimization and Control · Mathematics 2015-12-14 Long Hu , Rafael Vazquez , Florent Di Meglio , Miroslav Krstic

In this paper, we introduce a model for a buoyancy-driven, air-to-air heat exchanger. This model, derived from first principles, features a conservative boundary condition at inflow based on the compressible Bernoulli equation, and a…

Numerical Analysis · Mathematics 2026-05-18 Sylvie Bronsard , Charles S. Peskin

A method of stabilizing 2-cycles in discrete dynamic systems by Delayed Feedback Control is developed by using classic Harmonic Analysis.

Dynamical Systems · Mathematics 2013-07-30 D. Dmitrishin , A. Khamitova , A. Korenovskyi , A. Stokolos

We consider an interlinked production model consisting of conservation laws (PDE) coupled to ordinary differential equations (ODE). Our focus is the analysis of control laws for the coupled system and corresponding stabilization questions…

Optimization and Control · Mathematics 2019-12-13 Vanessa Baumgärtner , Simone Göttlich , Stephan Knapp

Based on a continuum theory, we investigate the manipulation of the non-equilibrium behavior of a sheared liquid crystal via closed-loop feedback control. Our goal is to stabilize a specific dynamical state, that is, the stationary…

Soft Condensed Matter · Physics 2015-06-17 David A. Strehober , Eckehard Schöll , Sabine H. L. Klapp

This paper presents an output feedback control law for the Korteweg-de Vries equation. The control design is based on the backstepping method and the introduction of an appropriate observer. The local exponential stability of the…

Analysis of PDEs · Mathematics 2016-09-28 Swann Marx , Eduardo Cerpa

Boundary feedback stabilisation of linear port-Hamiltonian systems on an interval is considered. Generation and stability results already known for linear feedback are extended to nonlinear dissipative feedback, both to static feedback…

Analysis of PDEs · Mathematics 2019-05-30 Björn Augner

In this paper, we study the impulse controllability of a multi-dimensional heat equation with dynamic boundary conditions in a bounded smooth domain. Using a recent approach based on finite-time stabilization, we show that the system is…

Optimization and Control · Mathematics 2023-10-31 Salah-Eddine Chorfi , Ghita El Guermai , Lahcen Maniar , Walid Zouhair

Stabilizing control synthesis is one of the central subjects in control theory and engineering, and it always has to deal with unavoidable uncertainties in practice. In this study, we propose an adaptive parameter tuning algorithm for…

Optimization and Control · Mathematics 2022-02-10 Shoju Enami , Kentaro Ohki

We propose an encoding and control strategy for the stabilization of switched systems with limited information, supposing the controller is given for each mode. Only the quantized output and the active mode of the plant at each sampling…

Systems and Control · Computer Science 2014-12-19 Masashi Wakaiki , Yutaka Yamamoto

A magnetizable piezoelectric beam model, free at both ends, is considered. Piezoelectric materials have a strong interaction of electromagnetic and acoustic waves, whose wave propagation speeds differ substantially. The corresponding…

Analysis of PDEs · Mathematics 2024-03-14 Ahmet Ozkan Ozer , Uthman Rasaq , Ibrahim Khalilullah

This paper addresses optimal feedback stabilizing control for bounded Jacobian nonlinear discrete-time (DT) systems with nonlinear observations, affected by state and process noise. Instead of directly stabilizing the uncertain system, we…

Systems and Control · Electrical Eng. & Systems 2024-10-15 Mohammad Khajenejad

This paper deals with the exponential stabilization of a time-delay system with an average of the state as the output. A general stability theorem with a guaranteed exponential decay-rate based on a Wirtinger-based inequality is provided.…

Optimization and Control · Mathematics 2017-11-27 Matthieu Barreau , Alexandre Seuret , Frederic Gouaisbaut
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