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We investigate input-to-state stability (ISS) of infinite-dimensional collocated control systems subject to saturated feedback. Here, the unsaturated closed loop is dissipative and uniformly globally asymptotically stable. Under an…

最优化与控制 · 数学 2020-09-01 Birgit Jacob , Felix L. Schwenninger , Lukas A. Vorberg

This paper studies the boundary feedback stabilization of a class of diagonal infinite-dimensional boundary control systems. In the studied setting, the boundary control input is subject to a constant delay while the open loop system might…

最优化与控制 · 数学 2020-12-29 Hugo Lhachemi , Christophe Prieur

Limitations of the delayed feedback control and of its extended versions have been fully treated in the literature. The oscillating delayed feedback control appears as a promising scheme to overcome this problem. In this work, two methods…

动力系统 · 数学 2018-05-25 Verónica E. Pastor , Graciela González

We complete the first step towards the resolution of several decades-old challenges in disturbance-robust adaptive control. For a scalar linear system with an unknown parameter for which no a priori bound is given, with a disturbance that…

最优化与控制 · 数学 2023-04-07 Iasson Karafyllis , Miroslav Krstic , Alexandros Aslanidis

In this paper we characterize the output feedback stabilization of some coupled systems with delay. The proof of the main result uses the method introduced in Ammari and Tucsnak \cite{at} where the exponential stability for the closed loop…

偏微分方程分析 · 数学 2010-10-19 E. M. Ait Benhassi , K. Ammari , S. Boulite , L. Maniar

We study the possibility to stabilize unstable steady states and unstable periodic orbits in chaotic fractional-order dynamical systems by the time-delayed feedback method. By performing a linear stability analysis, we establish the…

综合物理 · 物理学 2011-07-07 Aleksandar Gjurchinovski , Trifce Sandev , Viktor Urumov

This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on feedback linearization can be designed under certain mild…

系统与控制 · 电气工程与系统科学 2021-01-07 Lei Wang , Christopher M. Kellett

We consider nonlinear control systems of the so-called generalized triangular form (GTF) with time-varying and periodic dynamics which linearly depends on some external disturbances. Our purpose is to construct a feedback controller which…

动力系统 · 数学 2010-08-30 Sergey Dashkovskiy , Svyatoslav S. Pavlichkov

This note studies the robust output feedback stabilization problem of multi-input multi-output invertible nonlinear systems with output-dependent multipliers. An "ideal" state feedback is first designed under certain mild assumptions. Then,…

系统与控制 · 电气工程与系统科学 2021-03-02 Lei Wang , Christopher M. Kellett

We present a procedure to simultaneously design the output feedback law and the event-triggering condition to stabilize linear systems. The closed-loop system is shown to satisfy a global asymptotic stability property and the existence of a…

系统与控制 · 计算机科学 2014-08-27 Mahmoud Abdelrahim , Romain Postoyan , Jamal Daafouz , Dragan Nešić

We study local stabilization of nonlinear control systems under explicit gain constraints on the feedback law. Using a quantitative refinement of Brockett's openness condition, we introduce the notion of a maximal continuous openness rate…

最优化与控制 · 数学 2026-02-23 Bryce Christopherson , Farhad Jafari

A static non-linear homogeneous feedback for a fixed-time stabilization of a linear time-invariant (LTI) system is designed in such a way that the settling time is assigned exactly to a prescribed constant for all nonzero initial…

系统与控制 · 电气工程与系统科学 2023-07-06 Andrey Polyakov , Miroslav Krstic

In this paper, we investigate the robustness to external disturbances of switched discrete and continuous systems with multiple equilibria. It is shown that if each subsystem of the switched system is Input-to-State Stable (ISS), then under…

系统与控制 · 计算机科学 2018-09-11 Sushant Veer , Ioannis Poulakakis

We develop delay-compensating feedback laws for linear switched systems with time-dependent switching. Because the future values of the switching signal, which are needed for constructing an exact predictor-feedback law, may be unavailable…

系统与控制 · 电气工程与系统科学 2026-01-19 Andreas Katsanikakis , Nikolaos Bekiaris-Liberis

We solve the problem of output feedback stabilization of a class of nonlinear systems, which may have unstable zero dynamics. We allow for any globally stabilizing full state feedback control scheme to be used as long as it satisfies a…

系统与控制 · 计算机科学 2016-07-26 Almuatazbellah M. Boker , Hassan K. Khalil

This paper deals with the exponential input-to-state stabilization with respect to boundary disturbances of a class of diagonal infinite-dimensional systems via delay boundary control. The considered input delays are uncertain and…

最优化与控制 · 数学 2020-03-13 Hugo Lhachemi , Robert Shorten , Christophe Prieur

This paper presents a method for the synthesis of negative imaginary closed-loop systems with a prescribed degree of stability under the assumption of full state feedback. The approach extends existing work by using a perturbation method to…

最优化与控制 · 数学 2018-07-20 James Dannatt , Ian Petersen

In this report we deal with the problem of global output feedback stabilization of a class of $n$-dimensional nonlinear positive systems possessing a one-dimensional unknown, though measured, part. We first propose our main result, an…

最优化与控制 · 数学 2016-08-16 Jean-Luc Gouzé , Olivier Bernard , Ludovic Mailleret

In this article, we present a stabilization feedback law with integral action for conservative abstract linear systems subjected to actuator nonlinearity. Based on the designed control law, we first prove the well-posedness and global…

最优化与控制 · 数学 2024-05-17 Ling Ma , Vincent Andrieu , Daniele Astolfi , Mathieu Bajodek , Cheng-Zhong Xu , Xuyang Lou

This paper proposes a general framework for constructing feedback controllers that drive complex dynamical systems to "efficient" steady-state (or slowly varying) operating points. Efficiency is encoded using generalized equations which can…

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