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Predictor-based stabilization results are provided for nonlinear systems with input delays and a compact absorbing set. The control scheme consists of an inter-sample predictor, a global observer, an approximate predictor, and a nominal…

最优化与控制 · 数学 2013-06-17 Iasson Karafyllis , Miroslav Krstic , Tarek Ahmed-Ali , Francoise Lamnabhi-Lagarrigue

In this paper we introduce the concept of universal stabilizability: the condition that every solution of a nonlinear system can be globally stabilized. We give sufficient conditions in terms of the existence of a control contraction…

最优化与控制 · 数学 2013-11-21 Ian R. Manchester , Jean-Jacques E. Slotine

This note is concerned with the stability and stabilization of the linearized spacecraft attitude control system. Necessary and sufficient conditions are respectively provided to guarantee that the considered systems are polynomially stable…

动力系统 · 数学 2015-04-02 Bin Zhou

The objective of this document is to design continuous feedback controls for global asymptotic stabilization (GAS) of affine systems, with control restricted to a compact and convex set (CVS). This stabilization problem is solved based on a…

最优化与控制 · 数学 2022-07-01 Horacio Leyva , B. Aguirre-Hernández , Jesús F. Espinoza

We show that if a linear infinite-dimensional system is exponentially stabilizable by compact feedback, it is also stabilizable by means of a sampled-data feedback that is fed through a globally Lipschitz nonlinearity, provided that the…

最优化与控制 · 数学 2025-04-01 Rami Katz , Andrii Mironchenko

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…

系统与控制 · 计算机科学 2014-12-19 Masashi Wakaiki , Yutaka Yamamoto

Attitude control systems naturally evolve on nonlinear configuration spaces, such as S^2 and SO(3). The nontrivial topological properties of these configuration spaces result in interesting and complicated nonlinear dynamics when studying…

动力系统 · 数学 2015-03-19 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

The topological obstructions on the attitude space of a rigid body make global asymptotic stabilization impossible using continuous state-feedback. This paper presents novel algorithms to overcome such topological limitations and achieve…

系统与控制 · 计算机科学 2018-11-06 Mahathi Bhargavapuri , Soumya Ranjan Sahoo , Mangal Kothari

Based on recent work on the asymptotic behavior of controlled quantum Markovian dynamics, we show that any generic quantum state can be stabilized by devising constructively a simple Lindblad-GKS generator that can achieve global asymptotic…

量子物理 · 物理学 2010-12-21 Francesco Ticozzi , Sophie G. Schirmer , Xiaoting Wang

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…

最优化与控制 · 数学 2025-01-27 Florent Koudohode , Nikolaos Bekiaris-Liberis

This paper addresses the stabilisation of discrete-time switching linear systems (DTSSs) with control inputs under arbitrary switching, based on the existence of a common quadratic Lyapunov function (CQLF). The authors have begun a line of…

系统与控制 · 计算机科学 2011-09-15 Hernan Haimovich , Julio H. Braslavsky

We consider the problem of output feedback stabilization in linear systems when the measured outputs and control inputs are subject to event-triggered sampling and dynamic quantization. A new sampling algorithm is proposed for outputs which…

动力系统 · 数学 2016-09-26 Aneel Tanwani , Christophe Prieur , Mirko Fiacchini

This paper studies the uniformly asymptotic stability of nonautonomous systems on Riemannian manifolds. We establish corresponding Lyapunov-type theorems (Theorems 2.1 and 2.2), extending classical Euclidean results (e.g., [9, Theorems 4.9…

动力系统 · 数学 2026-01-27 Li Deng , Xin Li

This paper addresses the problem of input-to-state stabilization for a class of parabolic equations with time-varying coefficients, as well as Dirichlet and Robin boundary disturbances. By using time-invariant kernel functions, which can…

最优化与控制 · 数学 2024-06-18 Yongchun Bi , Jun Zheng , Guchuan Zhu

This paper studies the feedback stabilization problem of the motion of a tank that contains an incompressible, Newtonian, viscous liquid. The control input is the force applied on the tank and the overall system consists of two nonlinear…

最优化与控制 · 数学 2021-08-26 Iasson Karafyllis , Miroslav Krstic

It is a known fact that not all controllable systems can be asymptotically stabilized by a continuous static feedback. Several approaches have been developed throughout the last decades, including time-varying, dynamical and even…

最优化与控制 · 数学 2018-06-25 Pavel Osinenko , Lukas Beckenbach , Stefan Streif

In this paper, we deal with the problem of the stabilization in the sample-and-hold sense, by emulation of continuous-time, observer-based, global stabilizers. Fully nonlinear time-delay systems are studied. Sufficient conditions are…

系统与控制 · 计算机科学 2018-02-28 Mario Di Ferdinando , Pierdomenico Pepe

In this paper we explore the stabilization of closed invariant sets for passive systems, and present conditions under which a passivity-based feedback asymptotically stabilizes the goal set. Our results rely on novel reduction principles…

最优化与控制 · 数学 2019-04-16 Mohamed I. El-Hawwary , Manfredi Maggiore

The present paper is mainly aimed at introducing a novel notion of stability of nonlinear time-delay systems called Rational Stability. According to the Lyapunov-type, various sufficient conditions for rational stability are reached. Under…

最优化与控制 · 数学 2018-09-17 Nadhem Echi , Boulbaba Ghanmi

We consider a possible application of the Wa\.zewski topological method to feedback control systems and to more general dynamical systems. We show how this method can be used to prove the impossibility of global stabilization in such…

最优化与控制 · 数学 2021-05-03 Ivan Polekhin